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=Riemann Meets COLLADA & Oculus Rift S= | =Riemann Meets COLLADA & Oculus Rift S= | ||
If you want to jump straight to the fun part, copy the ASCII text file that is contained below within the [[#Scroll1|scrollable box]] named, <b>Inertial17.dae</b>, and read the accompanying instructions regarding how to view this example model on a Mac. A second file — presenting the same example model, but as viewed from a rotating frame of reference — can be extracted from a separate [[#Scroll2|scrollable box]] named, <b>MultiLagrange18.dae</b>. | |||
{{LSU_HBook_header}} | {{LSU_HBook_header}} | ||
==Example Model== | ==Example Model== | ||
===Key Physical Parameters=== | |||
The model that we have chosen to use in our first successful construction of a COLLADA-based, 3D and interactive animation has the following properties; this model has been selected from [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Table2|Table 2 of our accompanying discussion of Riemann S-type ellipsoids]]: | The model that we have chosen to use in our first successful construction of a COLLADA-based, 3D and interactive animation has the following properties; this model has been selected from [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Table2|Table 2 of our accompanying discussion of Riemann S-type ellipsoids]]: | ||
| Line 14: | Line 19: | ||
<tr> | <tr> | ||
<td align=" | <td align="center" rowspan="6"> | ||
<math>~\frac{b}{a}</math> | <b>Figure 1a</b><br /> <br /> | ||
[[File:B41c385EFEdiagram02.png|325px|EFE Parameter Space]] | |||
</td> | |||
<td align="center" rowspan="6" width="2%"> | |||
| |||
</td> | |||
<td align="center" colspan="3"> | |||
<math>~\frac{b}{a} = 0.41</math> | |||
</td> | </td> | ||
<td align="center"> | <td align="center" rowspan="6" width="2%"> | ||
| |||
</td> | </td> | ||
<td align=" | <td align="center" rowspan="6" bgcolor="lightgrey"> | ||
< | <b>Figure 1b</b><br /> | ||
[[File:COLLADA3rdViewpoint.png|300px|EFE Model b41c385]] | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td align=" | <td align="center" colspan="3"> | ||
<math>~\frac{c}{a}</math> | <math>~\frac{c}{a} = 0.385</math> | ||
</td> | </td> | ||
</tr> | |||
<tr> | |||
<td align="center"> | <td align="center"> | ||
''Direct'' | |||
</td> | </td> | ||
<td align=" | <td align="center" width="2%" rowspan="4"> | ||
< | | ||
</td> | |||
<td align="center"> | |||
''Adjoint'' | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td align=" | <td align="center"> | ||
<math>~\Omega_\mathrm{EFE}</math> | <math>~\Omega_\mathrm{EFE} = 0.547874</math> | ||
</td> | </td> | ||
<td align="center"> | <td align="center"> | ||
<math>~ | <math>~\Omega_\mathrm{EFE} = - 0.079886</math> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td align=" | <td align="center"> | ||
<math>~\lambda_\mathrm{EFE}</math> | <math>~\lambda_\mathrm{EFE} = 0.079886</math> | ||
</td> | </td> | ||
<td align="center"> | <td align="center"> | ||
<math>~ | <math>~\lambda_\mathrm{EFE} = - 0.547874</math> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td align="center"> | ||
<math>~f = - 0.415418</math> | |||
</td> | </td> | ||
<td align=" | <td align="center"> | ||
<math>~f = - 19.53923</math> | |||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</ | |||
The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" ''[[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Fig2|EFE Diagram]]'' that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in §49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>]. | |||
In a [[User:Tohline/ThreeDimensionalConfigurations/JacobiEllipsoids#Jacobi_Ellipsoids|separate chapter]] we have discussed various properties of uniformly rotating, ''Jacobi'' ellipsoids; they are equilibrium configurations that lie along the sequence that runs from "M<sub>2</sub>" (on the b/a = 1, Maclaurin sequence) to the origin of this diagram. Our chosen model lies off of — just above — the Jacobi-ellipsoid sequence, which means that it is not rotating as a solid body. Instead, as we focus first on the ''direct'' (as opposed to the ''adjoint'') configuration, we appreciate that while the ellipsoid is spinning prograde (counter-clockwise) with a frequency given by |Ω<sub>EFE</sub>|, each Lagrangian fluid element inside as well as on the surface of the ellipsoid is traveling retrograde (clockwise) along an elliptical path with a frequency given by |λ<sub>EFE</sub>|. | |||
===The COLLADA Code & Initial 3D Scene=== | |||
The following scrollable box titled, <b>Inertial17.dae</b>, contains an <xml>-formatted [https://www.khronos.org/collada/ COLLADA] code that, when properly executed, uses the interactive, 3D animation capabilities of video game drivers to illustrate, in a quantitatively precise fashion, the dynamical flows that are associated with our chosen example model of an equilibrium S-type Riemann ellipsoid. On a Macintosh computer platform, all of the features of this animated and interactive model can be accessed by simply opening the file using Apple's in-house "Preview" application. Figure 1b provides a snapshot of the Preview app's window immediately (TIME = 0.0) after the COLLADA code has been read into the app. More elements of this 3D visual scene will be identified and discussed below, but for now we simply point out that the center of the opaque, purple ellipsoid coincides with the origin of the principal underlying "laboratory" coordinate frame — that is, at (X<sub>0</sub>, Y<sub>0</sub>, Z<sub>0</sub>) = (0, 0, 0) — and the ellipsoid has the desired axis ratios (b/a, c/a) = (0.41, 0.385). | |||
<div align="center"> | <div align="center" id="Scroll1"> | ||
<b>Inertial17.dae</b> a COLLADA code containing 7968 lines of <xml>-formatted ASCII text | <b>Inertial17.dae</b> … a COLLADA code containing 7968 lines of <xml>-formatted ASCII text | ||
</div> | </div> | ||
| Line 8,066: | Line 8,072: | ||
<table border="1" cellpadding="10" align="center" width="100%"> | |||
< | <tr> | ||
<td align="left"> | |||
<b>Instructions for Viewing the Example Model on a Mac:</b> | |||
<br /> | |||
<ol> | |||
<li>Click, then drag your cursor down through the scrollable box to highlight and ''select'' all 7968 lines of the COLLADA code.</li> | |||
<li>Make a copy (⌘-c) of the entire code.</li> | |||
<li>Paste (⌘-v) the code into an empty, plain text file (using, for example, Apple's <font type="Courier">TextEdit</font> app) and save it with the name, <b>Inertial17.dae</b>. [NOTE: ".dae" is the file name suffix that is universally associated with an executable COLLADA file.]</li> | |||
<li>Open this file using Apple's ''Preview'' app; the static 3D model of our (opaque purple) ellipsoid should appear at TIME = 0.0 — see Figure 1b.</li> | |||
<li>To view the 3D (TIME = 0.0) model from different angles, place your mouse cursor anywhere near the center of the Preview app's image, then click and drag the cursor in different directions.</li> | |||
<li>The play/pause buttons — shown at the bottom of Figure 1b — become visible if the cursor is simply placed near the bottom of the image being displayed by the Preview app; the animation will start (on a continuous loop) when the play button is clicked.</li> | |||
</ol> | |||
< | <b>Instructions for Viewing the Example Model on a Windows 10 PC:</b> | ||
<br />We have not yet figured out how to similarly (at no cost) view COLLADA-based (.dae) 3D scenes on a PC. On my Lenovo system, the Windows 10 startup menu includes a "3D Viewer" app, but this app does not recognize .dae-formatted files. However, the app appears to read .glb-formatted files satisfactorily. As is [[#Inside_the_Oculus_Rift_S_Environment|discussed below]], the Oculus Rift S system will import our COLLADA-based models only if each model file has been translated from a ".dae" format to a ".glb" format. Hence, after this translation has been made principally to facilitate the importation of our model into the Oculus Rift S virtual-reality environment — see our description, below, of the [[#Khronos_Group.27s_COLLADA2GLTF_Converter|Khronos Group's COLLADA2GLTF Converter]] — we have also been able to straightforwardly view the 3D scene on our Lenovo PC using its "3D Viewer" app. | |||
</td> | |||
</tr> | </tr> | ||
</table> | </table> | ||
< | At TIME = 0.0 (see, again, Figure 1b), our purple ellipsoid is oriented such that its longest axis (of length, 2a) aligns with the X<sub>0</sub>-axis and such that the small red cubic "fluid marker" at the tip of the ellipsoid lies in the plus-X direction — initially at location (X<sub>0</sub>, Y<sub>0</sub>, Z<sub>0</sub>) = (+a, 0, 0). At the opposite end of the ellipsoid — initially at location (X<sub>0</sub>, Y<sub>0</sub>, Z<sub>0</sub>) = (-a, 0, 0) — we have attached a stubby black pointer; as the ellipsoid spins, this black pointer will remain affixed to the ellipsoid to aid in counting spin cycles, whereas the red fluid marker will not. The ellipsoid's shortest axis (length, 2c) aligns with the Z<sub>0</sub>-axis, with straight up being associated with the positive Z direction. The ellipsoid's intermediate axis (length, 2b) initially aligns with the lab's Y<sub>0</sub>-axis, with the positive direction being defined by the standard "righthand rule." | ||
<math>~\ | In addition to displaying an opaque purple Riemann ellipsoid, our COLLADA-defined 3D visual scene contains (see, again, Figure 1b): | ||
<ul> | |||
<li>A square gray "frame" that lies in the laboratory frame's equatorial, Z<sub>0</sub> = 0.0, plane, just outside of and "framing" the ellipsoid; and a small gray solid rectangle that hovers above the ellipsoid and is affixed to the plus-Z<sub>0</sub> axis, also intended to provide 3D orientation and registration queues.</li> | |||
<math>~\ | <li>A couple of lines of alpha-numeric characters that has been attached to an imaginary laboratory wall to label/quantify the geometric properties of this ellipsoid.</li> | ||
<li>A clock that has been hung on the same imaginary laboratory wall.</li> | |||
<li>A yellow-dotted ellipse (comprised of 50 individual small yellow markers) that lies in the equatorial plane and is attached to the ellipsoid, marking the trajectory that will be followed by the red cubic "fluid marker" during the animation sequence.</li> | |||
<math>~\ | </ul> | ||
</ | ===Animation=== | ||
</ | |||
When the "play" button is clicked on the Preview app's control panel (again, reference Figure 1b), the COLLADA-directed scene-animation begins. Three different characteristic timescales are relevant: | |||
[[File:ClockImage01.png|175px|right|Clock Image]]<ol> | |||
<li> | |||
We use the motion of the hands on the wall-mounted clock to identify the natural oscillation frequency of the physical system, namely, <math>~\Omega_0 \equiv [\pi G \rho]^{1 / 2}</math>. More specifically, by declaration, one oscillation period of the red "minute" hand — that is to say, one wall-clock "hour" — is <math>~P_0 = 2\pi[\pi G \rho]^{-1 / 2} = [4\pi/(G \rho)]^{1 / 2}</math>. One full cycle of the wall-clock's black "hour" hand is therefore 12P<sub>0</sub>. For pedagogical purposes, in all of our COLLADA-driven animations we have equated P<sub>0</sub> with a COLLADA TIME interval of 4.0, which means that during each animation, one wall-clock hour passes every (approximately) 4 seconds of real time.<sup>‡</sup></li> | |||
<li>The purple ellipsoid spins in a prograde direction about its shortest axis — that is, about the Z<sub>0</sub>-axis — on a timescale set by the value of <math>~\Omega_\mathrm{EFE}</math>, which has already been normalized to Ω<sub>0</sub>. Specifically, as viewed from the inertial frame of reference, the ellipsoid will complete one full spin in a time, <math>~P_\mathrm{spin} = |\Omega_\mathrm{EFE}|^{-1} = [0.5479]^{-1} = 1.825</math> wall-clock hours, which is approximately 7.3 seconds of real time.</li> | |||
<li>As viewed from a frame of reference that is spinning with the ellipsoid, each Lagrangian fluid element inside as well as on the surface of the ellipsoid moves in a retro-grade direction along an elliptical trajectory that has the same ellipticity as does the equatorial surface of the 3D ellipsoid. Each and every Lagrangian fluid element completes one full elliptical orbit in a time, <math>~P_\mathrm{Lagrange} = \lambda_\mathrm{EFE}^{-1} = [0.0799]^{-1} = 12.52</math> wall-clock hours, which is about 50 seconds of real time. | |||
</ol> | |||
In the COLLADA-based code (<b>Inertial17.dae</b>) that has been provided above in the scrollable box, we have instructed the animation sequence to follow the system's evolution through five complete spins of the purple ellipsoid. (Unless the ''pause'' button is clicked, the animation will actually loop repeatedly, but the time on the wall-mounted clock will reset to 0<sup>h</sup>0<sup>m</sup> after every fifth spin period.) In practice, this animation sequence lasts (5 × 1.825) × 4 = 36.5 seconds of real time. | |||
This | Figure 2 displays a pair of still-frame images of our example (purple) ellipsoidal configuration after the ellipsoid has completed precisely five (counter-clockwise) spin cycles. (The snapshots have been taken at the same point in time, but from two different camera viewing angles.) In the left-hand image (Figure 2a), the time on the clock appears to be about 9<sup>h</sup>8<sup>m</sup>. This means that as the ellipsoid has completed five spin cycles, the "minute" hand of the clock has completed approximately [9 + 8/60] ≈ 9.13 cycles. Dividing this number by 5 gives a value of <math>~P_\mathrm{spin} \approx 1.827</math>, which is indeed the spin period we identified earlier. This illustrates that the proper physical timescales governing oscillations of the wall-mounted clock and of the spinning ellipsoid have been implemented in a quantitatively accurate manner within the COLLADA code. | ||
==See Also | |||
<div align="center"> | |||
<table border="1" align="center" cellpadding="8"> | |||
<tr> | |||
<th align="center">Figure 2a</th> | |||
<th align="center">Figure 2b</th> | |||
</tr> | |||
<tr> | |||
<td align="left" bgcolor="lightgrey"> | |||
[[File:COLLADA1stViewpoint.png|300px|EFE Model b41c385]] | |||
</td> | |||
<td align="left" bgcolor="lightgrey"> | |||
[[File:COLLADA4thViewpoint.png|300px|EFE Model b41c385]] | |||
</td> | |||
</tr> | |||
</table> | |||
</div> | |||
In Figure 1b, above, we have used a small red cube to mark the Lagrangian fluid element that is initially (TIME = 0.0) located at the end of the longest axis of the ellipsoid (in the +X direction). In Figure 2b we can see where this fluid element is located after the ellipsoid has completed five complete spins. After moving in a retrograde (clockwise) direction along its assigned elliptical trajectory while the ellipsoid completed five full spins, we see that the red-tagged Lagrangian fluid element has completed a little less than 3/4 of one full orbit; let's call it 73% of one orbit. We therefore infer from the COLLADA-driven animation that <math>~0.73 P_\mathrm{Lagrange}\approx~5 P_\mathrm{spin}</math>, that is, <math>~P_\mathrm{Lagrange}\approx 6.849 P_\mathrm{spin}</math>. This is indeed a proper reflection of the physical properties of our chosen example Riemann S-type ellipsoid, as its mathematically determined equilibrium frequency ratio is, <math>~|\Omega_\mathrm{EFE}|/|\lambda_\mathrm{EFE}| = 6.8582</math>. This, too, illustrates that the proper physical timescales governing oscillations of our chosen example Riemann ellipsoid have been implemented in a quantitatively accurate manner within the COLLADA code. | |||
===Rotating Reference Frame=== | |||
<table border="0" align="right" cellpadding="8"><tr><td align="center"> | |||
<table border="0" align="center"><tr><td align="center" bgcolor="lightgray"> <br /><b>Figure 3</b><br /> | |||
[[File:COLLADA1stRotatingView.png|300px|Rotating Frame at TIME zero]] | |||
</td></tr></table> | |||
</td></tr></table> | |||
The following scrollable box titled, <b>MultiLagrange18.dae</b>, contains another <xml>-formatted [https://www.khronos.org/collada/ COLLADA] code. It is identical in most respects to the COLLADA code named <b>Inertial17.dae</b> that has been discussed above in considerable detail. But there are two key differences: | |||
<ol type="A"> | |||
<li>As Figure 3 illustrates, while the surface of the ellipsoid is still colored purple, it has been made partially transparent to reveal the location of three — rather than only one — Lagrangian fluid elements. All three are initially positioned along the plus-X<sub>0</sub> axis, but two are located inside, rather than on the surface of, the ellipsoid.</li> | |||
<li>This new, "MultiLagrange" COLLADA animation presents the system's evolution as viewed from a frame of reference that is spinning with the frequency of the ellipsoid, Ω<sub>EFE</sub>. As before, the COLLADA-driven animation is carried through five full ellipsoid spins, but from the perspective of this new rotating frame, the ellipsoid remains stationary and it is the components of the "laboratory" that actually spin; and they spin ''clockwise'' rather than counter-clockwise.</li> | |||
</ol> | |||
From the point of view of this rotating reference frame, it is much easier to watch and diagnose the behavior of the fluid motion interior to the surface of the ellipsoid. Note, in particular, the relative speed and alignment of the three fluid elements at different points along their coordinated orbits. Because Riemann S-type ellipsoids are uniform-density configurations and they are composed of an incompressible fluid, at all points in time and in space (within the volume of the ellipsoid) the divergence of the velocity must be zero. | |||
<div align="center" id="Scroll2"> | |||
<b>MultiLagrange18.dae</b> … a COLLADA code containing 7994 lines of <xml>-formatted ASCII text | |||
</div> | |||
<div style="height: 400px; width: 100%; overflow: scroll;"> | |||
<pre> | |||
<?xml version="1.0" encoding="UTF-8" standalone="no" ?> | |||
<COLLADA xmlns="http://www.collada.org/2005/11/COLLADASchema" version="1.4.1"> | |||
<asset> | |||
<contributor> | |||
<author>jet53man</author> | |||
<authoring_tool>Raw XML</authoring_tool> | |||
</contributor> | |||
<created>2020-04-28</created> | |||
<modified>2020-05-10</modified> | |||
<unit meter="0.0254" name="inch" /> | |||
<up_axis>Z_UP</up_axis> | |||
<!-- | |||
This file originally was named FullLast45X.dae ... | |||
here its assigned name is RiemannBuild05.dae (etc.) | |||
we are inserting various objects, drawn from b41c385_DI.dae | |||
<node> <geometry> <material> <effect> | |||
*** firstclock: ID3 Clock_OuterEdge ID6 ID5 | |||
*** : Clock_InnerEdge InnerID6 InnerID5 | |||
*** Jetman : ArrowID3 Clock_ArrowEdge ArrowID6 ArrowID5 | |||
*** HourHand : HourID3 Clock_HourEdge HourID6 HourID5 | |||
--> | |||
</asset> | |||
<library_effects> | |||
<effect id="DiffusePurple_00"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<phong> | |||
<diffuse> | |||
<color>0.5 0.0 0.99 1.0</color> | |||
</diffuse> | |||
<transparency> | |||
<float sid="transparency">0.6</float> | |||
</transparency> | |||
</phong> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<effect id="DiffuseRed_EFE"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>1.0 0.0 0.0 1.0</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<!-- effect: MidPlane Frame --> | |||
<effect id="MidPlaneID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0.0 0.0 0.6 0.5</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<!-- effect: Cylindrical Pointer --> | |||
<effect id="CylID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0.0 0.0 0.0 1.0</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<effect id="MarkersID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>1 1 0 1</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<!-- effect: Letters --> | |||
<effect id="LettersID5"> | |||
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<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0 0 0 1</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<effect id="DiagonalID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0 0 1 1</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
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</effect> | |||
<effect id="Black_DiagonalID5"> | |||
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<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0 0 0 1</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<!-- effect: Four Clock Components --> | |||
<effect id="ID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0 0 1 1</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<effect id="InnerID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0.4 0.0 0.7 0.4</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<effect id="ArrowID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>1.0 0.0 0.0 1.0</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
<effect id="HourID5"> | |||
<profile_COMMON> | |||
<technique sid="COMMON"> | |||
<lambert> | |||
<diffuse> | |||
<color>0.0 0.0 0.0 1.0</color> | |||
</diffuse> | |||
</lambert> | |||
</technique> | |||
</profile_COMMON> | |||
</effect> | |||
</library_effects> | |||
<library_materials> | |||
<!-- material: Four Clock Components --> | |||
<material id="ID6" name="material"> | |||
<instance_effect url="#ID5" /> | |||
</material> | |||
<material id="InnerID6" name="Inner_material"> | |||
<instance_effect url="#InnerID5" /> | |||
</material> | |||
<material id="ArrowID6" name="Arrow_material"> | |||
<instance_effect url="#ArrowID5" /> | |||
</material> | |||
<material id="HourID6" name="Hour_material"> | |||
<instance_effect url="#HourID5" /> | |||
</material> | |||
<material id="ID6_EFE" name="material"> | |||
<instance_effect url="#DiffusePurple_00" /> | |||
</material> | |||
<!-- material: MidPlane Frame --> | |||
<material id="MidPlaneID6" name="MidPlane_material"> | |||
<instance_effect url="#MidPlaneID5" /> | |||
</material> | |||
<!-- material: Cylindrical Pointer --> | |||
<material id="CylID6" name="Cyl_material"> | |||
<instance_effect url="#CylID5" /> | |||
</material> | |||
<material id="ZupID6" name="Zup_material"> | |||
<instance_effect url="#MidPlaneID5" /> | |||
</material> | |||
<material id="MarkersID6" name="markers_material"> | |||
<instance_effect url="#MarkersID5" /> | |||
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<material id="Primary_MarkerID6" name="primary_marker_material"> | |||
<instance_effect url="#DiffuseRed_EFE" /> | |||
</material> | |||
<!-- material: Letters --> | |||
<material id="LettersID6" name="material"> | |||
<instance_effect url="#LettersID5" /> | |||
</material> | |||
<material id="DiagonalID6" name="material"> | |||
<instance_effect url="#DiagonalID5" /> | |||
</material> | |||
<material id="Black_DiagonalID6" name="material"> | |||
<instance_effect url="#Black_DiagonalID5" /> | |||
</material> | |||
</library_materials> | |||
<library_nodes> | |||
<!-- node: Three clock components --> | |||
<node id="ID3" name="cube_component"> | |||
<instance_geometry url="#Clock_OuterEdge"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#ID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
<instance_geometry url="#Clock_InnerEdge"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#InnerID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="ArrowID3" name="cube_component"> | |||
<instance_geometry url="#Clock_ArrowEdge"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#ArrowID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="HourID3" name="hour_hand"> | |||
<instance_geometry url="#Clock_HourEdge"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#HourID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="ID3_EFE" name="cube_componentEFE"> | |||
<instance_geometry url="#EllipsoidOctant"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#ID6_EFE"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
<instance_geometry url="#ReflectOctant"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#ID6_EFE"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<!-- node: MidPlane Frame --> | |||
<node id="EqPlane" name="equatorial_plane"> | |||
<instance_geometry url="#EquatorialPlane"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#MidPlaneID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<!-- node: Cylindrical Pointer --> | |||
<node id="CylPointer" name="cylindrical_component"> | |||
<instance_geometry url="#Cylinder"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#CylID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="ZupPointer" name="Zup_component"> | |||
<instance_geometry url="#CubeID4"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#ZupID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="MarkersID3" name="Lagrange_markers"> | |||
<instance_geometry url="#CubeID4"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#MarkersID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="Primary_MarkerID3" name="Primary_marker"> | |||
<instance_geometry url="#CubeID4"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#Primary_MarkerID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<!-- node: Letters --> | |||
<node id="LettersID3" name="cube_component"> | |||
<instance_geometry url="#CubeID4"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#LettersID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="DiagonalID3" name="diagonal_component"> | |||
<instance_geometry url="#DiagonalID4"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#DiagonalID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
<node id="Black_DiagonalID3" name="Blackdiagonal_component"> | |||
<instance_geometry url="#DiagonalID4"> | |||
<bind_material> | |||
<technique_common> | |||
<instance_material symbol="Material2" target="#Black_DiagonalID6"> | |||
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" /> | |||
</instance_material> | |||
</technique_common> | |||
</bind_material> | |||
</instance_geometry> | |||
</node> | |||
</library_nodes> | |||
<library_geometries> | |||
<!-- geometry: Four Clock Components --> | |||
<geometry id="Clock_OuterEdge"> | |||
<mesh> | |||
<!-- | |||
********************************************** | |||
* | |||
* Insert first portion of clock's structure | |||
* | |||
********************************************** | |||
--> | |||
<source id="Clock_Positions"> | |||
<float_array id="Coordinates01" count="123"> 0.0 1.0 0.2 1.0 1.0 0.2 1.0 0.0 0.2 1.0 -1.0 0.2 0.0 -1.0 0.2 -1.0 -1.0 0.2 -1.0 0.0 0.2 -1.0 1.0 0.2 0.0 1.0 -0.2 1.0 1.0 -0.2 1.0 0.0 -0.2 1.0 -1.0 -0.2 0.0 -1.0 -0.2 -1.0 -1.0 -0.2 -1.0 0.0 -0.2 -1.0 1.0 -0.2 0.9 0.0 0.2 0.779423 0.45 0.2 0.45 0.779423 0.2 0.0 0.9 0.2 -0.45 0.779423 0.2 -0.779423 0.45 0.2 -0.9 0.0 0.2 -0.779423 -0.45 0.2 -0.45 -0.779423 0.2 0.0 -0.9 0.2 0.45 -0.779423 0.2 0.779423 -0.45 0.2 -0.9 0.0 -0.2 -0.779423 0.45 -0.2 -0.45 0.779423 -0.2 -0.0 0.9 -0.2 0.45 0.779423 -0.2 0.779423 0.45 -0.2 0.9 0.0 -0.2 0.779423 -0.45 -0.2 0.45 -0.779423 -0.2 -0.0 -0.9 -0.2 -0.45 -0.779423 -0.2 -0.779423 -0.45 -0.2 0.0 0.0 -0.2</float_array> | |||
<technique_common> | |||
<accessor source="#Coordinates01" count="41" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Clock_Normals"> | |||
<float_array id="InnerNormals01" count="18"> | |||
1.0 0.0 0.0 | |||
-1.0 0.0 0.0 | |||
0.0 1.0 0.0 | |||
0.0 -1.0 0.0 | |||
0.0 0.0 1.0 | |||
0.0 0.0 -1.0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#InnerNormals01" count="6" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="Clock_Vertices"> | |||
<input semantic="POSITION" source="#Clock_Positions" /> | |||
</vertices> | |||
<polylist count="56" material="Material2"> | |||
<input semantic="VERTEX" source="#Clock_Vertices" offset="0" /> | |||
<input semantic="NORMAL" source="#Clock_Normals" offset="1" /> | |||
<vcount> 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3</vcount> | |||
<p> 0 2 1 2 8 2 1 2 9 2 8 2 7 2 0 2 15 2 0 2 8 2 15 2 1 0 2 0 9 0 2 0 10 0 9 0 2 0 3 0 10 0 3 0 11 0 10 0 3 3 4 3 11 3 4 3 12 3 11 3 4 3 5 3 12 3 5 3 13 3 12 3 5 1 6 1 13 1 6 1 14 1 13 1 6 1 7 1 14 1 7 1 15 1 14 1 2 4 17 4 16 4 2 4 1 4 17 4 1 4 18 4 17 4 1 4 0 4 18 4 0 4 19 4 18 4 0 4 20 4 19 4 0 4 7 4 20 4 7 4 21 4 20 4 7 4 6 4 21 4 6 4 22 4 21 4 6 4 23 4 22 4 6 4 5 4 23 4 5 4 24 4 23 4 5 4 4 4 24 4 4 4 25 4 24 4 4 4 26 4 25 4 4 4 3 4 26 4 3 4 27 4 26 4 3 4 2 4 27 4 2 4 16 4 27 4 14 5 29 5 28 5 14 5 15 5 29 5 15 5 30 5 29 5 15 5 8 5 30 5 8 5 31 5 30 5 8 5 32 5 31 5 8 5 9 5 32 5 9 5 33 5 32 5 9 5 10 5 33 5 10 5 34 5 33 5 10 5 35 5 34 5 10 5 11 5 35 5 11 5 36 5 35 5 11 5 12 5 36 5 12 5 37 5 36 5 12 5 38 5 37 5 12 5 13 5 38 5 13 5 39 5 38 5 13 5 14 5 39 5 14 5 28 5 39 5 </p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<geometry id="Clock_InnerEdge"> | |||
<mesh> | |||
<!-- | |||
********************************************** | |||
* | |||
* Insert second portion of clock's structure | |||
* | |||
********************************************** | |||
--> | |||
<source id="Clock_InnerPositions"> | |||
<float_array id="InnerCoordinates01" count="123"> | |||
0.0 1.0 0.2 1.0 1.0 0.2 1.0 0.0 0.2 1.0 -1.0 0.2 0.0 -1.0 0.2 -1.0 -1.0 0.2 -1.0 0.0 0.2 -1.0 1.0 0.2 0.0 1.0 -0.2 1.0 1.0 -0.2 1.0 0.0 -0.2 1.0 -1.0 -0.2 0.0 -1.0 -0.2 -1.0 -1.0 -0.2 -1.0 0.0 -0.2 -1.0 1.0 -0.2 0.9 0.0 0.2 0.779423 0.45 0.2 0.45 0.779423 0.2 0.0 0.9 0.2 -0.45 0.779423 0.2 -0.779423 0.45 0.2 -0.9 0.0 0.2 -0.779423 -0.45 0.2 -0.45 -0.779423 0.2 0.0 -0.9 0.2 0.45 -0.779423 0.2 0.779423 -0.45 0.2 -0.9 0.0 -0.2 -0.779423 0.45 -0.2 -0.45 0.779423 -0.2 -0.0 0.9 -0.2 0.45 0.779423 -0.2 0.779423 0.45 -0.2 0.9 0.0 -0.2 0.779423 -0.45 -0.2 0.45 -0.779423 -0.2 -0.0 -0.9 -0.2 -0.45 -0.779423 -0.2 -0.779423 -0.45 -0.2 0.0 0.0 -0.2</float_array> | |||
<technique_common> | |||
<accessor source="#InnerCoordinates01" count="41" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Clock_InnerNormals"> | |||
<float_array id="InnerNormals01" count="54"> | |||
1.0 0.0 0.0 | |||
-1.0 0.0 0.0 | |||
0.0 1.0 0.0 | |||
0.0 -1.0 0.0 | |||
0.0 0.0 1.0 | |||
0.0 0.0 -1.0 | |||
-0.965926 -0.258819 0.0 | |||
-0.707107 -0.707107 0.0 | |||
-0.258819 -0.965926 0.0 | |||
0.258819 -0.965926 0.0 | |||
0.707107 -0.707107 0.0 | |||
0.965926 -0.258819 0.0 | |||
0.965926 0.258819 0.0 | |||
0.707107 0.707107 0.0 | |||
0.258819 0.965926 0.0 | |||
-0.258819 0.965926 0.0 | |||
-0.707107 0.707107 0.0 | |||
-0.965926 0.258819 0.0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#InnerNormals01" count="18" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="Clock_InnerVertices"> | |||
<input semantic="POSITION" source="#Clock_InnerPositions" /> | |||
</vertices> | |||
<polylist count="24" material="Material2"> | |||
<input semantic="VERTEX" source="#Clock_InnerVertices" offset="0" /> | |||
<input semantic="NORMAL" source="#Clock_InnerNormals" offset="1"/> | |||
<vcount>4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3</vcount> | |||
<p> 16 6 17 6 33 6 34 6 17 7 18 7 32 7 33 7 18 8 19 8 31 8 32 8 19 9 20 9 30 9 31 9 20 10 21 10 29 10 30 10 21 11 22 11 28 11 29 11 22 12 23 12 39 12 28 12 23 13 24 13 38 13 39 13 24 14 25 14 37 14 38 14 25 15 26 15 36 15 37 15 26 16 27 16 35 16 36 16 27 17 16 17 34 17 35 17 28 5 29 5 40 5 29 5 30 5 40 5 30 5 31 5 40 5 31 5 32 5 40 5 32 5 33 5 40 5 33 5 34 5 40 5 34 5 35 5 40 5 35 5 36 5 40 5 36 5 37 5 40 5 37 5 38 5 40 5 38 5 39 5 40 5 39 5 28 5 40 5 </p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<geometry id="Clock_ArrowEdge"> | |||
<mesh> | |||
<!-- | |||
********************************************** | |||
* | |||
* Insert arrow portion of clock's structure | |||
* | |||
********************************************** | |||
--> | |||
<source id="Clock_ArrowPositions"> | |||
<float_array id="ArrowCoordinates01" count="30"> 0.0 0.85 0.25 0.1 0.0 0.25 0.0 -0.2 0.25 -0.1 0.0 0.25 0.0 0.85 0.05 0.1 0.0 0.05 0.0 -0.2 0.05 -0.1 0.0 0.05 0.0 0.0 0.25 0.0 0.0 0.05 </float_array> | |||
<technique_common> | |||
<accessor source="#ArrowCoordinates01" count="10" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Clock_ArrowNormals"> | |||
<float_array id="ArrowNormals01" count="18"> | |||
0 0 1 | |||
0 0 -1 | |||
0.993151 0.116841 0.0 | |||
0.447214 -0.894427 0.0 | |||
-0.447214 -0.894427 0.0 | |||
-0.993151 0.116841 0.0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#ArrowNormals01" count="6" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="Clock_ArrowVertices"> | |||
<input semantic="POSITION" source="#Clock_ArrowPositions" /> | |||
</vertices> | |||
<polylist count="12" material="Material2"> | |||
<input semantic="VERTEX" source="#Clock_ArrowVertices" offset="0" /> | |||
<input semantic="NORMAL" source="#Clock_ArrowNormals" offset="1"/> | |||
<vcount>3 3 3 3 3 3 3 3 4 4 4 4</vcount> | |||
<p> 0 0 8 0 1 0 1 0 8 0 2 0 2 0 8 0 3 0 3 0 8 0 0 0 4 1 5 1 9 1 5 1 6 1 9 1 6 1 7 1 9 1 7 1 4 1 9 1 0 2 1 2 5 2 4 2 1 3 2 3 6 3 5 3 2 4 3 4 7 4 6 4 3 5 0 5 4 5 7 5 </p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<geometry id="Clock_HourEdge"> | |||
<mesh> | |||
<!-- | |||
********************************************** | |||
* | |||
* Insert hour_hand portion of clock's structure | |||
* | |||
********************************************** | |||
--> | |||
<source id="Clock_HourPositions"> | |||
<float_array id="HourCoordinates01" count="30"> 0.0 0.85 0.25 0.1 0.0 0.25 0.0 -0.2 0.25 -0.1 0.0 0.25 0.0 0.85 0.05 0.1 0.0 0.05 0.0 -0.2 0.05 -0.1 0.0 0.05 0.0 0.0 0.25 0.0 0.0 0.05 </float_array> | |||
<technique_common> | |||
<accessor source="#HourCoordinates01" count="10" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Clock_HourNormals"> | |||
<float_array id="HourNormals01" count="18"> | |||
0 0 1 | |||
0 0 -1 | |||
0.993151 0.116841 0.0 | |||
0.447214 -0.894427 0.0 | |||
-0.447214 -0.894427 0.0 | |||
-0.993151 0.116841 0.0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#HourNormals01" count="6" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="Clock_HourVertices"> | |||
<input semantic="POSITION" source="#Clock_HourPositions" /> | |||
</vertices> | |||
<polylist count="12" material="Material2"> | |||
<input semantic="VERTEX" source="#Clock_HourVertices" offset="0" /> | |||
<input semantic="NORMAL" source="#Clock_HourNormals" offset="1"/> | |||
<vcount>3 3 3 3 3 3 3 3 4 4 4 4</vcount> | |||
<p> 0 0 8 0 1 0 1 0 8 0 2 0 2 0 8 0 3 0 3 0 8 0 0 0 4 1 5 1 9 1 5 1 6 1 9 1 6 1 7 1 9 1 7 1 4 1 9 1 0 2 1 2 5 2 4 2 1 3 2 3 6 3 5 3 2 4 3 4 7 4 6 4 3 5 0 5 4 5 7 5 </p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<!-- geometry: Letters --> | |||
<geometry id="CubeID4"> | |||
<mesh> | |||
<source id="CubeID7_Positions"> | |||
<float_array id="CoordinatesID10" count="24"> | |||
-0.5 -0.5 -0.5 | |||
-0.5 -0.5 0.5 | |||
-0.5 0.5 -0.5 | |||
-0.5 0.5 0.5 | |||
0.5 -0.5 -0.5 | |||
0.5 -0.5 0.5 | |||
0.5 0.5 -0.5 | |||
0.5 0.5 0.5 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#CoordinatesID10" count="8" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="CubeID8_Normals"> | |||
<float_array id="NormalsID11" count="18"> | |||
0 0 -1 | |||
0 0 1 | |||
0 -1 0 | |||
0 1 0 | |||
-1 0 0 | |||
1 0 0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#NormalsID11" count="6" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="CubeID9_Vertices"> | |||
<input semantic="POSITION" source="#CubeID7_Positions" /> | |||
</vertices> | |||
<polylist count="12" material="Material2"> | |||
<input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" /> | |||
<input semantic="NORMAL" source="#CubeID8_Normals" offset="1" /> | |||
<vcount>3 3 3 3 3 3 3 3 3 3 3 3</vcount> | |||
<p> | |||
0 0 2 0 6 0 0 0 6 0 4 0 | |||
1 1 7 1 3 1 1 1 5 1 7 1 | |||
0 2 4 2 5 2 0 2 5 2 1 2 | |||
2 3 3 3 7 3 2 3 7 3 6 3 | |||
0 4 1 4 3 4 0 4 3 4 2 4 | |||
4 5 6 5 7 5 4 5 7 5 5 5 | |||
</p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<geometry id="DiagonalID4"> | |||
<mesh> | |||
<source id="DiagonalID7_Positions"> | |||
<float_array id="Diag_CoordinatesID10" count="24"> | |||
-0.5 -0.5 -0.5 | |||
-0.5 -0.5 0.5 | |||
-0.5 0.5 -0.5 | |||
-0.5 0.5 0.5 | |||
0.5 -0.5 -0.5 | |||
0.5 -0.5 0.5 | |||
0.5 0.5 -0.5 | |||
0.5 0.5 0.5 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Diag_CoordinatesID10" count="8" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
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0.7349 0.1626 0.2118 | |||
0.7684 0.1342 0.2118 | |||
0.8018 0.0959 0.2118 | |||
0.8352 0.0000 0.2118 | |||
0.0000 0.3280 0.2310 | |||
0.0320 0.3277 0.2310 | |||
0.0640 0.3269 0.2310 | |||
0.0960 0.3256 0.2310 | |||
0.1280 0.3238 0.2310 | |||
0.1600 0.3214 0.2310 | |||
0.1920 0.3184 0.2310 | |||
0.2240 0.3149 0.2310 | |||
0.2560 0.3108 0.2310 | |||
0.2880 0.3060 0.2310 | |||
0.3200 0.3006 0.2310 | |||
0.3520 0.2945 0.2310 | |||
0.3840 0.2877 0.2310 | |||
0.4160 0.2802 0.2310 | |||
0.4480 0.2717 0.2310 | |||
0.4800 0.2624 0.2310 | |||
0.5120 0.2520 0.2310 | |||
0.5440 0.2405 0.2310 | |||
0.5760 0.2276 0.2310 | |||
0.6080 0.2132 0.2310 | |||
0.6400 0.1968 0.2310 | |||
0.6720 0.1780 0.2310 | |||
0.7040 0.1558 0.2310 | |||
0.7360 0.1285 0.2310 | |||
0.7680 0.0918 0.2310 | |||
0.8000 0.0000 0.2310 | |||
0.0000 0.3116 0.2502 | |||
0.0304 0.3113 0.2502 | |||
0.0608 0.3106 0.2502 | |||
0.0912 0.3093 0.2502 | |||
0.1216 0.3076 0.2502 | |||
0.1520 0.3053 0.2502 | |||
0.1824 0.3025 0.2502 | |||
0.2128 0.2991 0.2502 | |||
0.2432 0.2952 0.2502 | |||
0.2736 0.2907 0.2502 | |||
0.3040 0.2856 0.2502 | |||
0.3344 0.2798 0.2502 | |||
0.3648 0.2733 0.2502 | |||
0.3952 0.2661 0.2502 | |||
0.4256 0.2581 0.2502 | |||
0.4560 0.2493 0.2502 | |||
0.4864 0.2394 0.2502 | |||
0.5168 0.2284 0.2502 | |||
0.5472 0.2162 0.2502 | |||
0.5775 0.2025 0.2502 | |||
0.6079 0.1869 0.2502 | |||
0.6383 0.1691 0.2502 | |||
0.6687 0.1480 0.2502 | |||
0.6991 0.1221 0.2502 | |||
0.7295 0.0872 0.2502 | |||
0.7599 0.0000 0.2502 | |||
0.0000 0.2928 0.2695 | |||
0.0286 0.2926 0.2695 | |||
0.0571 0.2919 0.2695 | |||
0.0857 0.2907 0.2695 | |||
0.1143 0.2890 0.2695 | |||
0.1428 0.2869 0.2695 | |||
0.1714 0.2842 0.2695 | |||
0.2000 0.2811 0.2695 | |||
0.2285 0.2774 0.2695 | |||
0.2571 0.2732 0.2695 | |||
0.2857 0.2684 0.2695 | |||
0.3142 0.2629 0.2695 | |||
0.3428 0.2569 0.2695 | |||
0.3714 0.2501 0.2695 | |||
0.3999 0.2426 0.2695 | |||
0.4285 0.2342 0.2695 | |||
0.4571 0.2250 0.2695 | |||
0.4856 0.2147 0.2695 | |||
0.5142 0.2032 0.2695 | |||
0.5427 0.1903 0.2695 | |||
0.5713 0.1757 0.2695 | |||
0.5999 0.1589 0.2695 | |||
0.6284 0.1391 0.2695 | |||
0.6570 0.1148 0.2695 | |||
0.6856 0.0820 0.2695 | |||
0.7141 0.0000 0.2695 | |||
0.0000 0.2712 0.2888 | |||
0.0265 0.2710 0.2888 | |||
0.0529 0.2703 0.2888 | |||
0.0794 0.2692 0.2888 | |||
0.1058 0.2677 0.2888 | |||
0.1323 0.2657 0.2888 | |||
0.1587 0.2633 0.2888 | |||
0.1852 0.2603 0.2888 | |||
0.2117 0.2569 0.2888 | |||
0.2381 0.2530 0.2888 | |||
0.2646 0.2485 0.2888 | |||
0.2910 0.2435 0.2888 | |||
0.3175 0.2379 0.2888 | |||
0.3439 0.2316 0.2888 | |||
0.3704 0.2247 0.2888 | |||
0.3969 0.2170 0.2888 | |||
0.4233 0.2084 0.2888 | |||
0.4498 0.1988 0.2888 | |||
0.4762 0.1882 0.2888 | |||
0.5027 0.1763 0.2888 | |||
0.5292 0.1627 0.2888 | |||
0.5556 0.1471 0.2888 | |||
0.5821 0.1288 0.2888 | |||
0.6085 0.1063 0.2888 | |||
0.6350 0.0759 0.2888 | |||
0.6614 0.0000 0.2888 | |||
0.0000 0.2460 0.3080 | |||
0.0240 0.2458 0.3080 | |||
0.0480 0.2452 0.3080 | |||
0.0720 0.2442 0.3080 | |||
0.0960 0.2428 0.3080 | |||
0.1200 0.2410 0.3080 | |||
0.1440 0.2388 0.3080 | |||
0.1680 0.2362 0.3080 | |||
0.1920 0.2331 0.3080 | |||
0.2160 0.2295 0.3080 | |||
0.2400 0.2255 0.3080 | |||
0.2640 0.2209 0.3080 | |||
0.2880 0.2158 0.3080 | |||
0.3120 0.2101 0.3080 | |||
0.3360 0.2038 0.3080 | |||
0.3600 0.1968 0.3080 | |||
0.3840 0.1890 0.3080 | |||
0.4080 0.1804 0.3080 | |||
0.4320 0.1707 0.3080 | |||
0.4560 0.1599 0.3080 | |||
0.4800 0.1476 0.3080 | |||
0.5040 0.1335 0.3080 | |||
0.5280 0.1168 0.3080 | |||
0.5520 0.0964 0.3080 | |||
0.5760 0.0689 0.3080 | |||
0.6000 0.0000 0.3080 | |||
0.0000 0.2160 0.3272 | |||
0.0211 0.2158 0.3272 | |||
0.0421 0.2153 0.3272 | |||
0.0632 0.2144 0.3272 | |||
0.0843 0.2132 0.3272 | |||
0.1054 0.2116 0.3272 | |||
0.1264 0.2097 0.3272 | |||
0.1475 0.2073 0.3272 | |||
0.1686 0.2046 0.3272 | |||
0.1896 0.2015 0.3272 | |||
0.2107 0.1979 0.3272 | |||
0.2318 0.1940 0.3272 | |||
0.2529 0.1895 0.3272 | |||
0.2739 0.1845 0.3272 | |||
0.2950 0.1789 0.3272 | |||
0.3161 0.1728 0.3272 | |||
0.3371 0.1660 0.3272 | |||
0.3582 0.1584 0.3272 | |||
0.3793 0.1499 0.3272 | |||
0.4004 0.1404 0.3272 | |||
0.4214 0.1296 0.3272 | |||
0.4425 0.1172 0.3272 | |||
0.4636 0.1026 0.3272 | |||
0.4846 0.0846 0.3272 | |||
0.5057 0.0605 0.3272 | |||
0.5268 0.0000 0.3272 | |||
0.0000 0.1787 0.3465 | |||
0.0174 0.1786 0.3465 | |||
0.0349 0.1781 0.3465 | |||
0.0523 0.1774 0.3465 | |||
0.0697 0.1764 0.3465 | |||
0.0872 0.1751 0.3465 | |||
0.1046 0.1735 0.3465 | |||
0.1220 0.1716 0.3465 | |||
0.1395 0.1693 0.3465 | |||
0.1569 0.1667 0.3465 | |||
0.1744 0.1638 0.3465 | |||
0.1918 0.1605 0.3465 | |||
0.2092 0.1568 0.3465 | |||
0.2267 0.1527 0.3465 | |||
0.2441 0.1481 0.3465 | |||
0.2615 0.1430 0.3465 | |||
0.2790 0.1373 0.3465 | |||
0.2964 0.1310 0.3465 | |||
0.3138 0.1240 0.3465 | |||
0.3313 0.1162 0.3465 | |||
0.3487 0.1072 0.3465 | |||
0.3661 0.0970 0.3465 | |||
0.3836 0.0849 0.3465 | |||
0.4010 0.0700 0.3465 | |||
0.4185 0.0500 0.3465 | |||
0.4359 0.0000 0.3465 | |||
0.0000 0.1280 0.3658 | |||
0.0125 0.1279 0.3658 | |||
0.0250 0.1276 0.3658 | |||
0.0375 0.1271 0.3658 | |||
0.0500 0.1264 0.3658 | |||
0.0624 0.1254 0.3658 | |||
0.0749 0.1243 0.3658 | |||
0.0874 0.1229 0.3658 | |||
0.0999 0.1213 0.3658 | |||
0.1124 0.1194 0.3658 | |||
0.1249 0.1173 0.3658 | |||
0.1374 0.1150 0.3658 | |||
0.1499 0.1123 0.3658 | |||
0.1624 0.1094 0.3658 | |||
0.1749 0.1061 0.3658 | |||
0.1873 0.1024 0.3658 | |||
0.1998 0.0984 0.3658 | |||
0.2123 0.0939 0.3658 | |||
0.2248 0.0888 0.3658 | |||
0.2373 0.0832 0.3658 | |||
0.2498 0.0768 0.3658 | |||
0.2623 0.0695 0.3658 | |||
0.2748 0.0608 0.3658 | |||
0.2873 0.0502 0.3658 | |||
0.2998 0.0358 0.3658 | |||
0.3122 0.0000 0.3658 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Ellipsoid_Coordinates" count=" 521" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Ellipsoid_Normals"> | |||
<float_array id="Ellipsoid_Normals01" count=" 2925"> | |||
0.0012 0.1487 0.9889 | |||
0.0037 0.1485 0.9889 | |||
0.0061 0.1480 0.9890 | |||
0.0085 0.1473 0.9891 | |||
0.0110 0.1463 0.9892 | |||
0.0134 0.1451 0.9893 | |||
0.0159 0.1437 0.9895 | |||
0.0183 0.1420 0.9897 | |||
0.0208 0.1400 0.9899 | |||
0.0232 0.1377 0.9902 | |||
0.0257 0.1352 0.9905 | |||
0.0281 0.1323 0.9908 | |||
0.0306 0.1291 0.9912 | |||
0.0330 0.1255 0.9915 | |||
0.0355 0.1215 0.9920 | |||
0.0380 0.1171 0.9924 | |||
0.0404 0.1122 0.9929 | |||
0.0429 0.1067 0.9934 | |||
0.0454 0.1005 0.9939 | |||
0.0479 0.0935 0.9945 | |||
0.0504 0.0856 0.9951 | |||
0.0529 0.0763 0.9957 | |||
0.0554 0.0651 0.9963 | |||
0.0580 0.0505 0.9970 | |||
0.0615 0.0214 0.9979 | |||
0.0029 0.3550 0.9349 | |||
0.0029 0.3550 0.9349 | |||
0.0087 0.3545 0.9350 | |||
0.0087 0.3545 0.9350 | |||
0.0146 0.3535 0.9353 | |||
0.0146 0.3535 0.9353 | |||
0.0204 0.3519 0.9358 | |||
0.0204 0.3519 0.9358 | |||
0.0263 0.3499 0.9364 | |||
0.0263 0.3499 0.9364 | |||
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0.0321 0.3473 0.9372 | |||
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0.0439 0.3403 0.9393 | |||
0.0439 0.3403 0.9393 | |||
0.0498 0.3360 0.9406 | |||
0.0498 0.3360 0.9406 | |||
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0.0558 0.3309 0.9420 | |||
0.0617 0.3253 0.9436 | |||
0.0617 0.3253 0.9436 | |||
0.0677 0.3188 0.9454 | |||
0.0677 0.3188 0.9454 | |||
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0.0738 0.3116 0.9473 | |||
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0.0799 0.3035 0.9495 | |||
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0.0860 0.2945 0.9518 | |||
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0.0984 0.2730 0.9570 | |||
0.0984 0.2730 0.9570 | |||
0.1047 0.2603 0.9598 | |||
0.1047 0.2603 0.9598 | |||
0.1110 0.2459 0.9629 | |||
0.1110 0.2459 0.9629 | |||
0.1175 0.2295 0.9662 | |||
0.1175 0.2295 0.9662 | |||
0.1239 0.2106 0.9697 | |||
0.1239 0.2106 0.9697 | |||
0.1305 0.1884 0.9734 | |||
0.1305 0.1884 0.9734 | |||
0.1372 0.1612 0.9773 | |||
0.1372 0.1612 0.9773 | |||
0.1442 0.1257 0.9815 | |||
0.1442 0.1257 0.9815 | |||
0.1536 0.0535 0.9867 | |||
0.1536 0.0535 0.9867 | |||
0.0038 0.4589 0.8885 | |||
0.0038 0.4589 0.8885 | |||
0.0113 0.4583 0.8887 | |||
0.0113 0.4583 0.8887 | |||
0.0188 0.4571 0.8892 | |||
0.0188 0.4571 0.8892 | |||
0.0264 0.4553 0.8900 | |||
0.0264 0.4553 0.8900 | |||
0.0340 0.4528 0.8910 | |||
0.0340 0.4528 0.8910 | |||
0.0416 0.4497 0.8922 | |||
0.0416 0.4497 0.8922 | |||
0.0492 0.4459 0.8937 | |||
0.0492 0.4459 0.8937 | |||
0.0569 0.4414 0.8955 | |||
0.0569 0.4414 0.8955 | |||
0.0647 0.4361 0.8976 | |||
0.0647 0.4361 0.8976 | |||
0.0725 0.4301 0.8999 | |||
0.0725 0.4301 0.8999 | |||
0.0803 0.4232 0.9025 | |||
0.0803 0.4232 0.9025 | |||
0.0882 0.4153 0.9054 | |||
0.0882 0.4153 0.9054 | |||
0.0963 0.4065 0.9086 | |||
0.0963 0.4065 0.9086 | |||
0.1044 0.3966 0.9120 | |||
0.1044 0.3966 0.9120 | |||
0.1126 0.3854 0.9158 | |||
0.1126 0.3854 0.9158 | |||
0.1209 0.3729 0.9200 | |||
0.1209 0.3729 0.9200 | |||
0.1293 0.3588 0.9244 | |||
0.1293 0.3588 0.9244 | |||
0.1379 0.3428 0.9292 | |||
0.1379 0.3428 0.9292 | |||
0.1466 0.3246 0.9344 | |||
0.1466 0.3246 0.9344 | |||
0.1554 0.3038 0.9400 | |||
0.1554 0.3038 0.9400 | |||
0.1645 0.2795 0.9460 | |||
0.1645 0.2795 0.9460 | |||
0.1737 0.2507 0.9524 | |||
0.1737 0.2507 0.9524 | |||
0.1832 0.2152 0.9592 | |||
0.1832 0.2152 0.9592 | |||
0.1931 0.1683 0.9666 | |||
0.1931 0.1683 0.9666 | |||
0.2067 0.0720 0.9758 | |||
0.2067 0.0720 0.9758 | |||
0.0044 0.5398 0.8418 | |||
0.0044 0.5398 0.8418 | |||
0.0133 0.5391 0.8421 | |||
0.0133 0.5391 0.8421 | |||
0.0222 0.5378 0.8428 | |||
0.0222 0.5378 0.8428 | |||
0.0311 0.5358 0.8437 | |||
0.0311 0.5358 0.8437 | |||
0.0400 0.5332 0.8451 | |||
0.0400 0.5332 0.8451 | |||
0.0490 0.5298 0.8467 | |||
0.0490 0.5298 0.8467 | |||
0.0580 0.5256 0.8487 | |||
0.0580 0.5256 0.8487 | |||
0.0672 0.5207 0.8511 | |||
0.0672 0.5207 0.8511 | |||
0.0764 0.5150 0.8538 | |||
0.0764 0.5150 0.8538 | |||
0.0856 0.5084 0.8569 | |||
0.0856 0.5084 0.8569 | |||
0.0950 0.5008 0.8603 | |||
0.0950 0.5008 0.8603 | |||
0.1046 0.4922 0.8642 | |||
0.1046 0.4922 0.8642 | |||
0.1142 0.4824 0.8685 | |||
0.1142 0.4824 0.8685 | |||
0.1240 0.4714 0.8732 | |||
0.1240 0.4714 0.8732 | |||
0.1340 0.4589 0.8783 | |||
0.1340 0.4589 0.8783 | |||
0.1442 0.4448 0.8839 | |||
0.1442 0.4448 0.8839 | |||
0.1546 0.4288 0.8901 | |||
0.1546 0.4288 0.8901 | |||
0.1652 0.4107 0.8967 | |||
0.1652 0.4107 0.8967 | |||
0.1760 0.3898 0.9039 | |||
0.1760 0.3898 0.9039 | |||
0.1872 0.3657 0.9117 | |||
0.1872 0.3657 0.9117 | |||
0.1986 0.3375 0.9201 | |||
0.1986 0.3375 0.9201 | |||
0.2104 0.3036 0.9293 | |||
0.2104 0.3036 0.9293 | |||
0.2227 0.2616 0.9391 | |||
0.2227 0.2616 0.9391 | |||
0.2356 0.2054 0.9499 | |||
0.2356 0.2054 0.9499 | |||
0.2533 0.0883 0.9634 | |||
0.2533 0.0883 0.9634 | |||
0.0050 0.6072 0.7945 | |||
0.0050 0.6072 0.7945 | |||
0.0150 0.6065 0.7949 | |||
0.0150 0.6065 0.7949 | |||
0.0249 0.6052 0.7957 | |||
0.0249 0.6052 0.7957 | |||
0.0350 0.6031 0.7969 | |||
0.0350 0.6031 0.7969 | |||
0.0451 0.6003 0.7985 | |||
0.0451 0.6003 0.7985 | |||
0.0552 0.5968 0.8005 | |||
0.0552 0.5968 0.8005 | |||
0.0654 0.5926 0.8029 | |||
0.0654 0.5926 0.8029 | |||
0.0758 0.5875 0.8057 | |||
0.0758 0.5875 0.8057 | |||
0.0862 0.5815 0.8090 | |||
0.0862 0.5815 0.8090 | |||
0.0968 0.5746 0.8127 | |||
0.0968 0.5746 0.8127 | |||
0.1076 0.5667 0.8169 | |||
0.1076 0.5667 0.8169 | |||
0.1185 0.5576 0.8216 | |||
0.1185 0.5576 0.8216 | |||
0.1296 0.5473 0.8268 | |||
0.1296 0.5473 0.8268 | |||
0.1410 0.5356 0.8326 | |||
0.1410 0.5356 0.8326 | |||
0.1526 0.5224 0.8390 | |||
0.1526 0.5224 0.8390 | |||
0.1644 0.5073 0.8459 | |||
0.1644 0.5073 0.8459 | |||
0.1766 0.4901 0.8536 | |||
0.1766 0.4901 0.8536 | |||
0.1892 0.4704 0.8619 | |||
0.1892 0.4704 0.8619 | |||
0.2021 0.4477 0.8710 | |||
0.2021 0.4477 0.8710 | |||
0.2155 0.4212 0.8810 | |||
0.2155 0.4212 0.8810 | |||
0.2294 0.3898 0.8918 | |||
0.2294 0.3898 0.8918 | |||
0.2439 0.3519 0.9037 | |||
0.2439 0.3519 0.9037 | |||
0.2590 0.3043 0.9167 | |||
0.2590 0.3043 0.9167 | |||
0.2752 0.2399 0.9310 | |||
0.2752 0.2399 0.9310 | |||
0.2974 0.1036 0.9491 | |||
0.2974 0.1036 0.9491 | |||
0.0055 0.6652 0.7467 | |||
0.0055 0.6652 0.7467 | |||
0.0164 0.6645 0.7471 | |||
0.0164 0.6645 0.7471 | |||
0.0273 0.6631 0.7480 | |||
0.0273 0.6631 0.7480 | |||
0.0383 0.6611 0.7493 | |||
0.0383 0.6611 0.7493 | |||
0.0494 0.6583 0.7511 | |||
0.0494 0.6583 0.7511 | |||
0.0606 0.6548 0.7534 | |||
0.0606 0.6548 0.7534 | |||
0.0718 0.6505 0.7561 | |||
0.0718 0.6505 0.7561 | |||
0.0832 0.6454 0.7593 | |||
0.0832 0.6454 0.7593 | |||
0.0948 0.6394 0.7630 | |||
0.0948 0.6394 0.7630 | |||
0.1065 0.6324 0.7673 | |||
0.1065 0.6324 0.7673 | |||
0.1185 0.6243 0.7721 | |||
0.1185 0.6243 0.7721 | |||
0.1307 0.6151 0.7775 | |||
0.1307 0.6151 0.7775 | |||
0.1432 0.6046 0.7836 | |||
0.1432 0.6046 0.7836 | |||
0.1559 0.5926 0.7902 | |||
0.1559 0.5926 0.7902 | |||
0.1691 0.5789 0.7977 | |||
0.1691 0.5789 0.7977 | |||
0.1826 0.5633 0.8058 | |||
0.1826 0.5633 0.8058 | |||
0.1966 0.5454 0.8148 | |||
0.1966 0.5454 0.8148 | |||
0.2110 0.5247 0.8247 | |||
0.2110 0.5247 0.8247 | |||
0.2260 0.5006 0.8356 | |||
0.2260 0.5006 0.8356 | |||
0.2417 0.4724 0.8476 | |||
0.2417 0.4724 0.8476 | |||
0.2581 0.4386 0.8608 | |||
0.2581 0.4386 0.8608 | |||
0.2754 0.3974 0.8754 | |||
0.2754 0.3974 0.8754 | |||
0.2937 0.3450 0.8915 | |||
0.2937 0.3450 0.8915 | |||
0.3134 0.2732 0.9095 | |||
0.3134 0.2732 0.9095 | |||
0.3406 0.1187 0.9327 | |||
0.3406 0.1187 0.9327 | |||
0.0059 0.7159 0.6982 | |||
0.0059 0.7159 0.6982 | |||
0.0176 0.7152 0.6987 | |||
0.0176 0.7152 0.6987 | |||
0.0294 0.7139 0.6996 | |||
0.0294 0.7139 0.6996 | |||
0.0413 0.7119 0.7011 | |||
0.0413 0.7119 0.7011 | |||
0.0532 0.7092 0.7030 | |||
0.0532 0.7092 0.7030 | |||
0.0653 0.7057 0.7055 | |||
0.0653 0.7057 0.7055 | |||
0.0775 0.7015 0.7084 | |||
0.0775 0.7015 0.7084 | |||
0.0898 0.6965 0.7119 | |||
0.0898 0.6965 0.7119 | |||
0.1024 0.6905 0.7160 | |||
0.1024 0.6905 0.7160 | |||
0.1152 0.6836 0.7207 | |||
0.1152 0.6836 0.7207 | |||
0.1282 0.6757 0.7260 | |||
0.1282 0.6757 0.7260 | |||
0.1416 0.6665 0.7319 | |||
0.1416 0.6665 0.7319 | |||
0.1553 0.6560 0.7386 | |||
0.1553 0.6560 0.7386 | |||
0.1695 0.6439 0.7461 | |||
0.1695 0.6439 0.7461 | |||
0.1840 0.6302 0.7543 | |||
0.1840 0.6302 0.7543 | |||
0.1991 0.6143 0.7635 | |||
0.1991 0.6143 0.7635 | |||
0.2148 0.5960 0.7737 | |||
0.2148 0.5960 0.7737 | |||
0.2312 0.5748 0.7850 | |||
0.2312 0.5748 0.7850 | |||
0.2483 0.5499 0.7975 | |||
0.2483 0.5499 0.7975 | |||
0.2663 0.5204 0.8113 | |||
0.2663 0.5204 0.8113 | |||
0.2853 0.4849 0.8267 | |||
0.2853 0.4849 0.8267 | |||
0.3056 0.4409 0.8439 | |||
0.3056 0.4409 0.8439 | |||
0.3273 0.3844 0.8632 | |||
0.3273 0.3844 0.8632 | |||
0.3510 0.3059 0.8850 | |||
0.3510 0.3059 0.8850 | |||
0.3840 0.1338 0.9136 | |||
0.3840 0.1338 0.9136 | |||
0.0062 0.7607 0.6491 | |||
0.0062 0.7607 0.6491 | |||
0.0187 0.7600 0.6496 | |||
0.0187 0.7600 0.6496 | |||
0.0313 0.7588 0.6506 | |||
0.0313 0.7588 0.6506 | |||
0.0439 0.7568 0.6521 | |||
0.0439 0.7568 0.6521 | |||
0.0566 0.7542 0.6542 | |||
0.0566 0.7542 0.6542 | |||
0.0694 0.7509 0.6567 | |||
0.0694 0.7509 0.6567 | |||
0.0825 0.7468 0.6599 | |||
0.0825 0.7468 0.6599 | |||
0.0957 0.7420 0.6636 | |||
0.0957 0.7420 0.6636 | |||
0.1092 0.7362 0.6679 | |||
0.1092 0.7362 0.6679 | |||
0.1229 0.7295 0.6729 | |||
0.1229 0.7295 0.6729 | |||
0.1370 0.7217 0.6785 | |||
0.1370 0.7217 0.6785 | |||
0.1514 0.7128 0.6849 | |||
0.1514 0.7128 0.6849 | |||
0.1663 0.7024 0.6920 | |||
0.1663 0.7024 0.6920 | |||
0.1817 0.6906 0.7001 | |||
0.1817 0.6906 0.7001 | |||
0.1977 0.6769 0.7090 | |||
0.1977 0.6769 0.7090 | |||
0.2143 0.6611 0.7190 | |||
0.2143 0.6611 0.7190 | |||
0.2317 0.6428 0.7301 | |||
0.2317 0.6428 0.7301 | |||
0.2499 0.6214 0.7425 | |||
0.2499 0.6214 0.7425 | |||
0.2692 0.5961 0.7564 | |||
0.2692 0.5961 0.7564 | |||
0.2896 0.5659 0.7719 | |||
0.2896 0.5659 0.7719 | |||
0.3114 0.5291 0.7894 | |||
0.3114 0.5291 0.7894 | |||
0.3348 0.4831 0.8090 | |||
0.3348 0.4831 0.8090 | |||
0.3603 0.4232 0.8314 | |||
0.3603 0.4232 0.8314 | |||
0.3884 0.3386 0.8570 | |||
0.3884 0.3386 0.8570 | |||
0.4282 0.1492 0.8913 | |||
0.4282 0.1492 0.8913 | |||
0.0066 0.8004 0.5995 | |||
0.0066 0.8004 0.5995 | |||
0.0197 0.7998 0.6000 | |||
0.0197 0.7998 0.6000 | |||
0.0329 0.7986 0.6010 | |||
0.0329 0.7986 0.6010 | |||
0.0462 0.7967 0.6025 | |||
0.0462 0.7967 0.6025 | |||
0.0596 0.7943 0.6046 | |||
0.0596 0.7943 0.6046 | |||
0.0732 0.7911 0.6073 | |||
0.0732 0.7911 0.6073 | |||
0.0869 0.7872 0.6105 | |||
0.0869 0.7872 0.6105 | |||
0.1009 0.7826 0.6143 | |||
0.1009 0.7826 0.6143 | |||
0.1152 0.7771 0.6188 | |||
0.1152 0.7771 0.6188 | |||
0.1298 0.7707 0.6239 | |||
0.1298 0.7707 0.6239 | |||
0.1449 0.7632 0.6297 | |||
0.1449 0.7632 0.6297 | |||
0.1603 0.7546 0.6364 | |||
0.1603 0.7546 0.6364 | |||
0.1763 0.7446 0.6438 | |||
0.1763 0.7446 0.6438 | |||
0.1929 0.7331 0.6522 | |||
0.1929 0.7331 0.6522 | |||
0.2102 0.7198 0.6616 | |||
0.2102 0.7198 0.6616 | |||
0.2283 0.7043 0.6722 | |||
0.2283 0.7043 0.6722 | |||
0.2473 0.6862 0.6841 | |||
0.2473 0.6862 0.6841 | |||
0.2674 0.6650 0.6974 | |||
0.2674 0.6650 0.6974 | |||
0.2888 0.6397 0.7123 | |||
0.2888 0.6397 0.7123 | |||
0.3117 0.6091 0.7292 | |||
0.3117 0.6091 0.7292 | |||
0.3364 0.5716 0.7484 | |||
0.3364 0.5716 0.7484 | |||
0.3632 0.5241 0.7703 | |||
0.3632 0.5241 0.7703 | |||
0.3928 0.4614 0.7955 | |||
0.3928 0.4614 0.7955 | |||
0.4260 0.3714 0.8250 | |||
0.4260 0.3714 0.8250 | |||
0.4736 0.1650 0.8651 | |||
0.4736 0.1650 0.8651 | |||
0.0069 0.8356 0.5493 | |||
0.0069 0.8356 0.5493 | |||
0.0206 0.8351 0.5498 | |||
0.0206 0.8351 0.5498 | |||
0.0344 0.8339 0.5508 | |||
0.0344 0.8339 0.5508 | |||
0.0483 0.8322 0.5523 | |||
0.0483 0.8322 0.5523 | |||
0.0623 0.8299 0.5544 | |||
0.0623 0.8299 0.5544 | |||
0.0765 0.8269 0.5571 | |||
0.0765 0.8269 0.5571 | |||
0.0909 0.8233 0.5603 | |||
0.0909 0.8233 0.5603 | |||
0.1056 0.8189 0.5641 | |||
0.1056 0.8189 0.5641 | |||
0.1206 0.8137 0.5686 | |||
0.1206 0.8137 0.5686 | |||
0.1361 0.8076 0.5738 | |||
0.1361 0.8076 0.5738 | |||
0.1519 0.8005 0.5797 | |||
0.1519 0.8005 0.5797 | |||
0.1683 0.7923 0.5864 | |||
0.1683 0.7923 0.5864 | |||
0.1854 0.7828 0.5940 | |||
0.1854 0.7828 0.5940 | |||
0.2031 0.7718 0.6026 | |||
0.2031 0.7718 0.6026 | |||
0.2216 0.7589 0.6123 | |||
0.2216 0.7589 0.6123 | |||
0.2412 0.7440 0.6232 | |||
0.2412 0.7440 0.6232 | |||
0.2618 0.7264 0.6355 | |||
0.2618 0.7264 0.6355 | |||
0.2838 0.7055 0.6494 | |||
0.2838 0.7055 0.6494 | |||
0.3073 0.6806 0.6651 | |||
0.3073 0.6806 0.6651 | |||
0.3327 0.6502 0.6831 | |||
0.3327 0.6502 0.6831 | |||
0.3604 0.6124 0.7037 | |||
0.3604 0.6124 0.7037 | |||
0.3908 0.5640 0.7275 | |||
0.3908 0.5640 0.7275 | |||
0.4249 0.4991 0.7552 | |||
0.4249 0.4991 0.7552 | |||
0.4638 0.4043 0.7883 | |||
0.4638 0.4043 0.7883 | |||
0.5205 0.1813 0.8344 | |||
0.5205 0.1813 0.8344 | |||
0.0071 0.8668 0.4985 | |||
0.0071 0.8668 0.4985 | |||
0.0214 0.8663 0.4990 | |||
0.0214 0.8663 0.4990 | |||
0.0357 0.8653 0.5000 | |||
0.0357 0.8653 0.5000 | |||
0.0501 0.8637 0.5016 | |||
0.0501 0.8637 0.5016 | |||
0.0646 0.8615 0.5036 | |||
0.0646 0.8615 0.5036 | |||
0.0794 0.8588 0.5062 | |||
0.0794 0.8588 0.5062 | |||
0.0944 0.8554 0.5094 | |||
0.0944 0.8554 0.5094 | |||
0.1098 0.8513 0.5131 | |||
0.1098 0.8513 0.5131 | |||
0.1255 0.8464 0.5175 | |||
0.1255 0.8464 0.5175 | |||
0.1416 0.8407 0.5226 | |||
0.1416 0.8407 0.5226 | |||
0.1583 0.8341 0.5285 | |||
0.1583 0.8341 0.5285 | |||
0.1756 0.8263 0.5351 | |||
0.1756 0.8263 0.5351 | |||
0.1935 0.8173 0.5427 | |||
0.1935 0.8173 0.5427 | |||
0.2123 0.8069 0.5513 | |||
0.2123 0.8069 0.5513 | |||
0.2321 0.7947 0.5610 | |||
0.2321 0.7947 0.5610 | |||
0.2529 0.7803 0.5719 | |||
0.2529 0.7803 0.5719 | |||
0.2751 0.7634 0.5844 | |||
0.2751 0.7634 0.5844 | |||
0.2989 0.7432 0.5985 | |||
0.2989 0.7432 0.5985 | |||
0.3246 0.7189 0.6147 | |||
0.3246 0.7189 0.6147 | |||
0.3525 0.6889 0.6333 | |||
0.3525 0.6889 0.6333 | |||
0.3833 0.6513 0.6549 | |||
0.3833 0.6513 0.6549 | |||
0.4176 0.6026 0.6801 | |||
0.4176 0.6026 0.6801 | |||
0.4565 0.5362 0.7100 | |||
0.4565 0.5362 0.7100 | |||
0.5018 0.4374 0.7462 | |||
0.5018 0.4374 0.7462 | |||
0.5690 0.1982 0.7981 | |||
0.5690 0.1982 0.7981 | |||
0.0073 0.8943 0.4474 | |||
0.0073 0.8943 0.4474 | |||
0.0220 0.8938 0.4478 | |||
0.0220 0.8938 0.4478 | |||
0.0368 0.8929 0.4488 | |||
0.0368 0.8929 0.4488 | |||
0.0517 0.8914 0.4503 | |||
0.0517 0.8914 0.4503 | |||
0.0667 0.8894 0.4522 | |||
0.0667 0.8894 0.4522 | |||
0.0820 0.8869 0.4547 | |||
0.0820 0.8869 0.4547 | |||
0.0976 0.8837 0.4577 | |||
0.0976 0.8837 0.4577 | |||
0.1135 0.8799 0.4613 | |||
0.1135 0.8799 0.4613 | |||
0.1298 0.8754 0.4656 | |||
0.1298 0.8754 0.4656 | |||
0.1466 0.8701 0.4705 | |||
0.1466 0.8701 0.4705 | |||
0.1640 0.8640 0.4761 | |||
0.1640 0.8640 0.4761 | |||
0.1820 0.8567 0.4826 | |||
0.1820 0.8567 0.4826 | |||
0.2009 0.8483 0.4899 | |||
0.2009 0.8483 0.4899 | |||
0.2207 0.8385 0.4983 | |||
0.2207 0.8385 0.4983 | |||
0.2415 0.8270 0.5077 | |||
0.2415 0.8270 0.5077 | |||
0.2637 0.8134 0.5185 | |||
0.2637 0.8134 0.5185 | |||
0.2874 0.7973 0.5308 | |||
0.2874 0.7973 0.5308 | |||
0.3129 0.7779 0.5449 | |||
0.3129 0.7779 0.5449 | |||
0.3406 0.7544 0.5611 | |||
0.3406 0.7544 0.5611 | |||
0.3711 0.7252 0.5799 | |||
0.3711 0.7252 0.5799 | |||
0.4050 0.6882 0.6019 | |||
0.4050 0.6882 0.6019 | |||
0.4433 0.6397 0.6279 | |||
0.4433 0.6397 0.6279 | |||
0.4874 0.5725 0.6593 | |||
0.4874 0.5725 0.6593 | |||
0.5397 0.4705 0.6981 | |||
0.5397 0.4705 0.6981 | |||
0.6190 0.2157 0.7552 | |||
0.6190 0.2157 0.7552 | |||
0.0075 0.9183 0.3958 | |||
0.0075 0.9183 0.3958 | |||
0.0226 0.9179 0.3962 | |||
0.0226 0.9179 0.3962 | |||
0.0378 0.9170 0.3971 | |||
0.0378 0.9170 0.3971 | |||
0.0531 0.9156 0.3985 | |||
0.0531 0.9156 0.3985 | |||
0.0686 0.9138 0.4003 | |||
0.0686 0.9138 0.4003 | |||
0.0843 0.9115 0.4026 | |||
0.0843 0.9115 0.4026 | |||
0.1003 0.9086 0.4054 | |||
0.1003 0.9086 0.4054 | |||
0.1167 0.9051 0.4088 | |||
0.1167 0.9051 0.4088 | |||
0.1336 0.9010 0.4128 | |||
0.1336 0.9010 0.4128 | |||
0.1510 0.8961 0.4174 | |||
0.1510 0.8961 0.4174 | |||
0.1690 0.8904 0.4227 | |||
0.1690 0.8904 0.4227 | |||
0.1878 0.8837 0.4288 | |||
0.1878 0.8837 0.4288 | |||
0.2074 0.8758 0.4358 | |||
0.2074 0.8758 0.4358 | |||
0.2281 0.8667 0.4437 | |||
0.2281 0.8667 0.4437 | |||
0.2500 0.8559 0.4527 | |||
0.2500 0.8559 0.4527 | |||
0.2733 0.8431 0.4631 | |||
0.2733 0.8431 0.4631 | |||
0.2984 0.8279 0.4749 | |||
0.2984 0.8279 0.4749 | |||
0.3256 0.8095 0.4885 | |||
0.3256 0.8095 0.4885 | |||
0.3554 0.7870 0.5043 | |||
0.3554 0.7870 0.5043 | |||
0.3883 0.7589 0.5228 | |||
0.3883 0.7589 0.5228 | |||
0.4254 0.7228 0.5446 | |||
0.4254 0.7228 0.5446 | |||
0.4677 0.6749 0.5708 | |||
0.4677 0.6749 0.5708 | |||
0.5172 0.6076 0.6028 | |||
0.5172 0.6076 0.6028 | |||
0.5772 0.5032 0.6432 | |||
0.5772 0.5032 0.6432 | |||
0.6702 0.2335 0.7045 | |||
0.6702 0.2335 0.7045 | |||
0.0077 0.9390 0.3438 | |||
0.0077 0.9390 0.3438 | |||
0.0231 0.9386 0.3442 | |||
0.0231 0.9386 0.3442 | |||
0.0387 0.9378 0.3450 | |||
0.0387 0.9378 0.3450 | |||
0.0543 0.9366 0.3462 | |||
0.0543 0.9366 0.3462 | |||
0.0702 0.9349 0.3479 | |||
0.0702 0.9349 0.3479 | |||
0.0863 0.9328 0.3500 | |||
0.0863 0.9328 0.3500 | |||
0.1027 0.9301 0.3526 | |||
0.1027 0.9301 0.3526 | |||
0.1195 0.9269 0.3557 | |||
0.1195 0.9269 0.3557 | |||
0.1369 0.9231 0.3593 | |||
0.1369 0.9231 0.3593 | |||
0.1548 0.9186 0.3635 | |||
0.1548 0.9186 0.3635 | |||
0.1734 0.9134 0.3684 | |||
0.1734 0.9134 0.3684 | |||
0.1928 0.9072 0.3740 | |||
0.1928 0.9072 0.3740 | |||
0.2131 0.8999 0.3804 | |||
0.2131 0.8999 0.3804 | |||
0.2346 0.8914 0.3877 | |||
0.2346 0.8914 0.3877 | |||
0.2574 0.8814 0.3961 | |||
0.2574 0.8814 0.3961 | |||
0.2818 0.8695 0.4057 | |||
0.2818 0.8695 0.4057 | |||
0.3082 0.8552 0.4167 | |||
0.3082 0.8552 0.4167 | |||
0.3370 0.8378 0.4295 | |||
0.3370 0.8378 0.4295 | |||
0.3686 0.8164 0.4444 | |||
0.3686 0.8164 0.4444 | |||
0.4040 0.7895 0.4620 | |||
0.4040 0.7895 0.4620 | |||
0.4441 0.7546 0.4830 | |||
0.4441 0.7546 0.4830 | |||
0.4905 0.7077 0.5085 | |||
0.4905 0.7077 0.5085 | |||
0.5455 0.6408 0.5401 | |||
0.5455 0.6408 0.5401 | |||
0.6136 0.5349 0.5808 | |||
0.6136 0.5349 0.5808 | |||
0.7219 0.2515 0.6446 | |||
0.7219 0.2515 0.6446 | |||
0.0078 0.9565 0.2915 | |||
0.0078 0.9565 0.2915 | |||
0.0236 0.9562 0.2918 | |||
0.0236 0.9562 0.2918 | |||
0.0394 0.9554 0.2925 | |||
0.0394 0.9554 0.2925 | |||
0.0553 0.9543 0.2936 | |||
0.0553 0.9543 0.2936 | |||
0.0715 0.9528 0.2951 | |||
0.0715 0.9528 0.2951 | |||
0.0879 0.9508 0.2969 | |||
0.0879 0.9508 0.2969 | |||
0.1047 0.9484 0.2992 | |||
0.1047 0.9484 0.2992 | |||
0.1219 0.9455 0.3020 | |||
0.1219 0.9455 0.3020 | |||
0.1397 0.9420 0.3052 | |||
0.1397 0.9420 0.3052 | |||
0.1580 0.9379 0.3089 | |||
0.1580 0.9379 0.3089 | |||
0.1771 0.9330 0.3132 | |||
0.1771 0.9330 0.3132 | |||
0.1970 0.9273 0.3182 | |||
0.1970 0.9273 0.3182 | |||
0.2180 0.9206 0.3239 | |||
0.2180 0.9206 0.3239 | |||
0.2402 0.9128 0.3304 | |||
0.2402 0.9128 0.3304 | |||
0.2639 0.9034 0.3379 | |||
0.2639 0.9034 0.3379 | |||
0.2893 0.8923 0.3465 | |||
0.2893 0.8923 0.3465 | |||
0.3168 0.8790 0.3565 | |||
0.3168 0.8790 0.3565 | |||
0.3469 0.8626 0.3681 | |||
0.3469 0.8626 0.3681 | |||
0.3804 0.8424 0.3817 | |||
0.3804 0.8424 0.3817 | |||
0.4179 0.8167 0.3978 | |||
0.4179 0.8167 0.3978 | |||
0.4609 0.7832 0.4172 | |||
0.4609 0.7832 0.4172 | |||
0.5112 0.7376 0.4411 | |||
0.5112 0.7376 0.4411 | |||
0.5718 0.6716 0.4712 | |||
0.5718 0.6716 0.4712 | |||
0.6481 0.5650 0.5106 | |||
0.6481 0.5650 0.5106 | |||
0.7730 0.2693 0.5745 | |||
0.7730 0.2693 0.5745 | |||
0.0080 0.9710 0.2389 | |||
0.0080 0.9710 0.2389 | |||
0.0239 0.9707 0.2392 | |||
0.0239 0.9707 0.2392 | |||
0.0400 0.9700 0.2398 | |||
0.0400 0.9700 0.2398 | |||
0.0562 0.9690 0.2407 | |||
0.0562 0.9690 0.2407 | |||
0.0726 0.9676 0.2419 | |||
0.0726 0.9676 0.2419 | |||
0.0893 0.9658 0.2435 | |||
0.0893 0.9658 0.2435 | |||
0.1064 0.9636 0.2454 | |||
0.1064 0.9636 0.2454 | |||
0.1239 0.9609 0.2477 | |||
0.1239 0.9609 0.2477 | |||
0.1420 0.9577 0.2505 | |||
0.1420 0.9577 0.2505 | |||
0.1607 0.9539 0.2536 | |||
0.1607 0.9539 0.2536 | |||
0.1802 0.9494 0.2573 | |||
0.1802 0.9494 0.2573 | |||
0.2006 0.9441 0.2615 | |||
0.2006 0.9441 0.2615 | |||
0.2221 0.9379 0.2664 | |||
0.2221 0.9379 0.2664 | |||
0.2449 0.9306 0.2720 | |||
0.2449 0.9306 0.2720 | |||
0.2693 0.9220 0.2784 | |||
0.2693 0.9220 0.2784 | |||
0.2955 0.9116 0.2858 | |||
0.2955 0.9116 0.2858 | |||
0.3240 0.8991 0.2944 | |||
0.3240 0.8991 0.2944 | |||
0.3554 0.8837 0.3044 | |||
0.3554 0.8837 0.3044 | |||
0.3904 0.8646 0.3163 | |||
0.3904 0.8646 0.3163 | |||
0.4300 0.8402 0.3304 | |||
0.4300 0.8402 0.3304 | |||
0.4756 0.8081 0.3476 | |||
0.4756 0.8081 0.3476 | |||
0.5295 0.7640 0.3688 | |||
0.5295 0.7640 0.3688 | |||
0.5952 0.6992 0.3960 | |||
0.5952 0.6992 0.3960 | |||
0.6797 0.5925 0.4323 | |||
0.6797 0.5925 0.4323 | |||
0.8216 0.2863 0.4930 | |||
0.8216 0.2863 0.4930 | |||
0.0081 0.9825 0.1860 | |||
0.0081 0.9825 0.1860 | |||
0.0242 0.9822 0.1863 | |||
0.0242 0.9822 0.1863 | |||
0.0405 0.9816 0.1868 | |||
0.0405 0.9816 0.1868 | |||
0.0569 0.9806 0.1875 | |||
0.0569 0.9806 0.1875 | |||
0.0735 0.9793 0.1885 | |||
0.0735 0.9793 0.1885 | |||
0.0904 0.9777 0.1897 | |||
0.0904 0.9777 0.1897 | |||
0.1077 0.9756 0.1913 | |||
0.1077 0.9756 0.1913 | |||
0.1255 0.9731 0.1931 | |||
0.1255 0.9731 0.1931 | |||
0.1438 0.9701 0.1953 | |||
0.1438 0.9701 0.1953 | |||
0.1629 0.9666 0.1978 | |||
0.1629 0.9666 0.1978 | |||
0.1827 0.9625 0.2008 | |||
0.1827 0.9625 0.2008 | |||
0.2035 0.9576 0.2042 | |||
0.2035 0.9576 0.2042 | |||
0.2254 0.9518 0.2081 | |||
0.2254 0.9518 0.2081 | |||
0.2487 0.9450 0.2126 | |||
0.2487 0.9450 0.2126 | |||
0.2736 0.9369 0.2177 | |||
0.2736 0.9369 0.2177 | |||
0.3005 0.9272 0.2237 | |||
0.3005 0.9272 0.2237 | |||
0.3299 0.9154 0.2307 | |||
0.3299 0.9154 0.2307 | |||
0.3623 0.9009 0.2389 | |||
0.3623 0.9009 0.2389 | |||
0.3986 0.8828 0.2485 | |||
0.3986 0.8828 0.2485 | |||
0.4398 0.8596 0.2602 | |||
0.4398 0.8596 0.2602 | |||
0.4877 0.8288 0.2743 | |||
0.4877 0.8288 0.2743 | |||
0.5448 0.7861 0.2921 | |||
0.5448 0.7861 0.2921 | |||
0.6152 0.7227 0.3150 | |||
0.6152 0.7227 0.3150 | |||
0.7072 0.6165 0.3462 | |||
0.7072 0.6165 0.3462 | |||
0.8656 0.3016 0.3997 | |||
0.8656 0.3016 0.3997 | |||
0.0081 0.9911 0.1330 | |||
0.0081 0.9911 0.1330 | |||
0.0244 0.9908 0.1332 | |||
0.0244 0.9908 0.1332 | |||
0.0408 0.9902 0.1335 | |||
0.0408 0.9902 0.1335 | |||
0.0574 0.9893 0.1341 | |||
0.0574 0.9893 0.1341 | |||
0.0741 0.9881 0.1348 | |||
0.0741 0.9881 0.1348 | |||
0.0912 0.9865 0.1357 | |||
0.0912 0.9865 0.1357 | |||
0.1087 0.9846 0.1368 | |||
0.1087 0.9846 0.1368 | |||
0.1267 0.9823 0.1382 | |||
0.1267 0.9823 0.1382 | |||
0.1452 0.9795 0.1398 | |||
0.1452 0.9795 0.1398 | |||
0.1645 0.9762 0.1416 | |||
0.1645 0.9762 0.1416 | |||
0.1845 0.9723 0.1438 | |||
0.1845 0.9723 0.1438 | |||
0.2056 0.9676 0.1462 | |||
0.2056 0.9676 0.1462 | |||
0.2279 0.9622 0.1491 | |||
0.2279 0.9622 0.1491 | |||
0.2515 0.9558 0.1524 | |||
0.2515 0.9558 0.1524 | |||
0.2769 0.9481 0.1562 | |||
0.2769 0.9481 0.1562 | |||
0.3044 0.9389 0.1606 | |||
0.3044 0.9389 0.1606 | |||
0.3344 0.9278 0.1657 | |||
0.3344 0.9278 0.1657 | |||
0.3676 0.9140 0.1718 | |||
0.3676 0.9140 0.1718 | |||
0.4049 0.8967 0.1789 | |||
0.4049 0.8967 0.1789 | |||
0.4474 0.8744 0.1876 | |||
0.4474 0.8744 0.1876 | |||
0.4971 0.8447 0.1982 | |||
0.4971 0.8447 0.1982 | |||
0.5567 0.8033 0.2116 | |||
0.5567 0.8033 0.2116 | |||
0.6310 0.7412 0.2290 | |||
0.6310 0.7412 0.2290 | |||
0.7293 0.6357 0.2531 | |||
0.7293 0.6357 0.2531 | |||
0.9022 0.3144 0.2953 | |||
0.9022 0.3144 0.2953 | |||
0.0082 0.9968 0.0799 | |||
0.0082 0.9968 0.0799 | |||
0.0246 0.9965 0.0800 | |||
0.0246 0.9965 0.0800 | |||
0.0410 0.9959 0.0802 | |||
0.0410 0.9959 0.0802 | |||
0.0577 0.9951 0.0805 | |||
0.0577 0.9951 0.0805 | |||
0.0746 0.9939 0.0809 | |||
0.0746 0.9939 0.0809 | |||
0.0918 0.9924 0.0815 | |||
0.0918 0.9924 0.0815 | |||
0.1094 0.9906 0.0822 | |||
0.1094 0.9906 0.0822 | |||
0.1275 0.9884 0.0830 | |||
0.1275 0.9884 0.0830 | |||
0.1461 0.9857 0.0840 | |||
0.1461 0.9857 0.0840 | |||
0.1655 0.9825 0.0851 | |||
0.1655 0.9825 0.0851 | |||
0.1858 0.9788 0.0864 | |||
0.1858 0.9788 0.0864 | |||
0.2070 0.9744 0.0879 | |||
0.2070 0.9744 0.0879 | |||
0.2295 0.9692 0.0896 | |||
0.2295 0.9692 0.0896 | |||
0.2534 0.9630 0.0917 | |||
0.2534 0.9630 0.0917 | |||
0.2791 0.9557 0.0940 | |||
0.2791 0.9557 0.0940 | |||
0.3069 0.9468 0.0967 | |||
0.3069 0.9468 0.0967 | |||
0.3374 0.9361 0.0998 | |||
0.3374 0.9361 0.0998 | |||
0.3711 0.9228 0.1035 | |||
0.3711 0.9228 0.1035 | |||
0.4091 0.9061 0.1079 | |||
0.4091 0.9061 0.1079 | |||
0.4526 0.8845 0.1133 | |||
0.4526 0.8845 0.1133 | |||
0.5035 0.8556 0.1199 | |||
0.5035 0.8556 0.1199 | |||
0.5649 0.8151 0.1282 | |||
0.5649 0.8151 0.1282 | |||
0.6419 0.7540 0.1391 | |||
0.6419 0.7540 0.1391 | |||
0.7448 0.6492 0.1543 | |||
0.7448 0.6492 0.1543 | |||
0.9286 0.3236 0.1815 | |||
0.9286 0.3236 0.1815 | |||
0.0082 0.9996 0.0266 | |||
0.0082 0.9996 0.0266 | |||
0.0246 0.9993 0.0267 | |||
0.0246 0.9993 0.0267 | |||
0.0412 0.9988 0.0267 | |||
0.0412 0.9988 0.0267 | |||
0.0579 0.9980 0.0268 | |||
0.0579 0.9980 0.0268 | |||
0.0748 0.9968 0.0270 | |||
0.0748 0.9968 0.0270 | |||
0.0921 0.9954 0.0272 | |||
0.0921 0.9954 0.0272 | |||
0.1097 0.9936 0.0274 | |||
0.1097 0.9936 0.0274 | |||
0.1279 0.9914 0.0277 | |||
0.1279 0.9914 0.0277 | |||
0.1466 0.9888 0.0280 | |||
0.1466 0.9888 0.0280 | |||
0.1661 0.9857 0.0284 | |||
0.1661 0.9857 0.0284 | |||
0.1864 0.9821 0.0288 | |||
0.1864 0.9821 0.0288 | |||
0.2077 0.9777 0.0293 | |||
0.2077 0.9777 0.0293 | |||
0.2303 0.9727 0.0299 | |||
0.2303 0.9727 0.0299 | |||
0.2544 0.9666 0.0306 | |||
0.2544 0.9666 0.0306 | |||
0.2802 0.9594 0.0314 | |||
0.2802 0.9594 0.0314 | |||
0.3082 0.9508 0.0323 | |||
0.3082 0.9508 0.0323 | |||
0.3389 0.9402 0.0333 | |||
0.3389 0.9402 0.0333 | |||
0.3729 0.9272 0.0346 | |||
0.3729 0.9272 0.0346 | |||
0.4113 0.9108 0.0361 | |||
0.4113 0.9108 0.0361 | |||
0.4552 0.8896 0.0379 | |||
0.4552 0.8896 0.0379 | |||
0.5068 0.8611 0.0401 | |||
0.5068 0.8611 0.0401 | |||
0.5691 0.8212 0.0429 | |||
0.5691 0.8212 0.0429 | |||
0.6475 0.7606 0.0466 | |||
0.6475 0.7606 0.0466 | |||
0.7528 0.6562 0.0519 | |||
0.7528 0.6562 0.0519 | |||
0.9425 0.3284 0.0612 | |||
0.9425 0.3284 0.0612 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Ellipsoid_Normals01" count=" 975" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="Ellipsoid_Vertices"> | |||
<input semantic="POSITION" source="#Ellipsoid_Positions" /> | |||
</vertices> | |||
<polylist count=" 975" material="Material2"> | |||
<input semantic="VERTEX" source="#Ellipsoid_Vertices" offset="0" /> | |||
<input semantic="NORMAL" source="#Ellipsoid_Normals" offset="1" /> | |||
<vcount> | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
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0 0 496 0 495 0 | |||
0 1 497 1 496 1 | |||
0 2 498 2 497 2 | |||
0 3 499 3 498 3 | |||
0 4 500 4 499 4 | |||
0 5 501 5 500 5 | |||
0 6 502 6 501 6 | |||
0 7 503 7 502 7 | |||
0 8 504 8 503 8 | |||
0 9 505 9 504 9 | |||
0 10 506 10 505 10 | |||
0 11 507 11 506 11 | |||
0 12 508 12 507 12 | |||
0 13 509 13 508 13 | |||
0 14 510 14 509 14 | |||
0 15 511 15 510 15 | |||
0 16 512 16 511 16 | |||
0 17 513 17 512 17 | |||
0 18 514 18 513 18 | |||
0 19 515 19 514 19 | |||
0 20 516 20 515 20 | |||
0 21 517 21 516 21 | |||
0 22 518 22 517 22 | |||
0 23 519 23 518 23 | |||
0 24 520 24 519 24 | |||
495 25 470 25 469 25 | |||
495 26 496 26 470 26 | |||
496 27 471 27 470 27 | |||
496 28 497 28 471 28 | |||
497 29 472 29 471 29 | |||
497 30 498 30 472 30 | |||
498 31 473 31 472 31 | |||
498 32 499 32 473 32 | |||
499 33 474 33 473 33 | |||
499 34 500 34 474 34 | |||
500 35 475 35 474 35 | |||
500 36 501 36 475 36 | |||
501 37 476 37 475 37 | |||
501 38 502 38 476 38 | |||
502 39 477 39 476 39 | |||
502 40 503 40 477 40 | |||
503 41 478 41 477 41 | |||
503 42 504 42 478 42 | |||
504 43 479 43 478 43 | |||
504 44 505 44 479 44 | |||
505 45 480 45 479 45 | |||
505 46 506 46 480 46 | |||
506 47 481 47 480 47 | |||
506 48 507 48 481 48 | |||
507 49 482 49 481 49 | |||
507 50 508 50 482 50 | |||
508 51 483 51 482 51 | |||
508 52 509 52 483 52 | |||
509 53 484 53 483 53 | |||
509 54 510 54 484 54 | |||
510 55 485 55 484 55 | |||
510 56 511 56 485 56 | |||
511 57 486 57 485 57 | |||
511 58 512 58 486 58 | |||
512 59 487 59 486 59 | |||
512 60 513 60 487 60 | |||
513 61 488 61 487 61 | |||
513 62 514 62 488 62 | |||
514 63 489 63 488 63 | |||
514 64 515 64 489 64 | |||
515 65 490 65 489 65 | |||
515 66 516 66 490 66 | |||
516 67 491 67 490 67 | |||
516 68 517 68 491 68 | |||
517 69 492 69 491 69 | |||
517 70 518 70 492 70 | |||
518 71 493 71 492 71 | |||
518 72 519 72 493 72 | |||
519 73 494 73 493 73 | |||
519 74 520 74 494 74 | |||
469 75 444 75 443 75 | |||
469 76 470 76 444 76 | |||
470 77 445 77 444 77 | |||
470 78 471 78 445 78 | |||
471 79 446 79 445 79 | |||
471 80 472 80 446 80 | |||
472 81 447 81 446 81 | |||
472 82 473 82 447 82 | |||
473 83 448 83 447 83 | |||
473 84 474 84 448 84 | |||
474 85 449 85 448 85 | |||
474 86 475 86 449 86 | |||
475 87 450 87 449 87 | |||
475 88 476 88 450 88 | |||
476 89 451 89 450 89 | |||
476 90 477 90 451 90 | |||
477 91 452 91 451 91 | |||
477 92 478 92 452 92 | |||
478 93 453 93 452 93 | |||
478 94 479 94 453 94 | |||
479 95 454 95 453 95 | |||
479 96 480 96 454 96 | |||
480 97 455 97 454 97 | |||
480 98 481 98 455 98 | |||
481 99 456 99 455 99 | |||
481 100 482 100 456 100 | |||
482 101 457 101 456 101 | |||
482 102 483 102 457 102 | |||
483 103 458 103 457 103 | |||
483 104 484 104 458 104 | |||
484 105 459 105 458 105 | |||
484 106 485 106 459 106 | |||
485 107 460 107 459 107 | |||
485 108 486 108 460 108 | |||
486 109 461 109 460 109 | |||
486 110 487 110 461 110 | |||
487 111 462 111 461 111 | |||
487 112 488 112 462 112 | |||
488 113 463 113 462 113 | |||
488 114 489 114 463 114 | |||
489 115 464 115 463 115 | |||
489 116 490 116 464 116 | |||
490 117 465 117 464 117 | |||
490 118 491 118 465 118 | |||
491 119 466 119 465 119 | |||
491 120 492 120 466 120 | |||
492 121 467 121 466 121 | |||
492 122 493 122 467 122 | |||
493 123 468 123 467 123 | |||
493 124 494 124 468 124 | |||
443 125 418 125 417 125 | |||
443 126 444 126 418 126 | |||
444 127 419 127 418 127 | |||
444 128 445 128 419 128 | |||
445 129 420 129 419 129 | |||
445 130 446 130 420 130 | |||
446 131 421 131 420 131 | |||
446 132 447 132 421 132 | |||
447 133 422 133 421 133 | |||
447 134 448 134 422 134 | |||
448 135 423 135 422 135 | |||
448 136 449 136 423 136 | |||
449 137 424 137 423 137 | |||
449 138 450 138 424 138 | |||
450 139 425 139 424 139 | |||
450 140 451 140 425 140 | |||
451 141 426 141 425 141 | |||
451 142 452 142 426 142 | |||
452 143 427 143 426 143 | |||
452 144 453 144 427 144 | |||
453 145 428 145 427 145 | |||
453 146 454 146 428 146 | |||
454 147 429 147 428 147 | |||
454 148 455 148 429 148 | |||
455 149 430 149 429 149 | |||
455 150 456 150 430 150 | |||
456 151 431 151 430 151 | |||
456 152 457 152 431 152 | |||
457 153 432 153 431 153 | |||
457 154 458 154 432 154 | |||
458 155 433 155 432 155 | |||
458 156 459 156 433 156 | |||
459 157 434 157 433 157 | |||
459 158 460 158 434 158 | |||
460 159 435 159 434 159 | |||
460 160 461 160 435 160 | |||
461 161 436 161 435 161 | |||
461 162 462 162 436 162 | |||
462 163 437 163 436 163 | |||
462 164 463 164 437 164 | |||
463 165 438 165 437 165 | |||
463 166 464 166 438 166 | |||
464 167 439 167 438 167 | |||
464 168 465 168 439 168 | |||
465 169 440 169 439 169 | |||
465 170 466 170 440 170 | |||
466 171 441 171 440 171 | |||
466 172 467 172 441 172 | |||
467 173 442 173 441 173 | |||
467 174 468 174 442 174 | |||
417 175 392 175 391 175 | |||
417 176 418 176 392 176 | |||
418 177 393 177 392 177 | |||
418 178 419 178 393 178 | |||
419 179 394 179 393 179 | |||
419 180 420 180 394 180 | |||
420 181 395 181 394 181 | |||
420 182 421 182 395 182 | |||
421 183 396 183 395 183 | |||
421 184 422 184 396 184 | |||
422 185 397 185 396 185 | |||
422 186 423 186 397 186 | |||
423 187 398 187 397 187 | |||
423 188 424 188 398 188 | |||
424 189 399 189 398 189 | |||
424 190 425 190 399 190 | |||
425 191 400 191 399 191 | |||
425 192 426 192 400 192 | |||
426 193 401 193 400 193 | |||
426 194 427 194 401 194 | |||
427 195 402 195 401 195 | |||
427 196 428 196 402 196 | |||
428 197 403 197 402 197 | |||
428 198 429 198 403 198 | |||
429 199 404 199 403 199 | |||
429 200 430 200 404 200 | |||
430 201 405 201 404 201 | |||
430 202 431 202 405 202 | |||
431 203 406 203 405 203 | |||
431 204 432 204 406 204 | |||
432 205 407 205 406 205 | |||
432 206 433 206 407 206 | |||
433 207 408 207 407 207 | |||
433 208 434 208 408 208 | |||
434 209 409 209 408 209 | |||
434 210 435 210 409 210 | |||
435 211 410 211 409 211 | |||
435 212 436 212 410 212 | |||
436 213 411 213 410 213 | |||
436 214 437 214 411 214 | |||
437 215 412 215 411 215 | |||
437 216 438 216 412 216 | |||
438 217 413 217 412 217 | |||
438 218 439 218 413 218 | |||
439 219 414 219 413 219 | |||
439 220 440 220 414 220 | |||
440 221 415 221 414 221 | |||
440 222 441 222 415 222 | |||
441 223 416 223 415 223 | |||
441 224 442 224 416 224 | |||
391 225 366 225 365 225 | |||
391 226 392 226 366 226 | |||
392 227 367 227 366 227 | |||
392 228 393 228 367 228 | |||
393 229 368 229 367 229 | |||
393 230 394 230 368 230 | |||
394 231 369 231 368 231 | |||
394 232 395 232 369 232 | |||
395 233 370 233 369 233 | |||
395 234 396 234 370 234 | |||
396 235 371 235 370 235 | |||
396 236 397 236 371 236 | |||
397 237 372 237 371 237 | |||
397 238 398 238 372 238 | |||
398 239 373 239 372 239 | |||
398 240 399 240 373 240 | |||
399 241 374 241 373 241 | |||
399 242 400 242 374 242 | |||
400 243 375 243 374 243 | |||
400 244 401 244 375 244 | |||
401 245 376 245 375 245 | |||
401 246 402 246 376 246 | |||
402 247 377 247 376 247 | |||
402 248 403 248 377 248 | |||
403 249 378 249 377 249 | |||
403 250 404 250 378 250 | |||
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365 275 340 275 339 275 | |||
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313 375 288 375 287 375 | |||
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314 377 289 377 288 377 | |||
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315 380 316 380 290 380 | |||
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287 425 262 425 261 425 | |||
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261 475 236 475 235 475 | |||
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235 525 210 525 209 525 | |||
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237 530 238 530 212 530 | |||
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253 562 254 562 228 562 | |||
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255 565 230 565 229 565 | |||
255 566 256 566 230 566 | |||
256 567 231 567 230 567 | |||
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257 569 232 569 231 569 | |||
257 570 258 570 232 570 | |||
258 571 233 571 232 571 | |||
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259 573 234 573 233 573 | |||
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209 575 184 575 183 575 | |||
209 576 210 576 184 576 | |||
210 577 185 577 184 577 | |||
210 578 211 578 185 578 | |||
211 579 186 579 185 579 | |||
211 580 212 580 186 580 | |||
212 581 187 581 186 581 | |||
212 582 213 582 187 582 | |||
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214 585 189 585 188 585 | |||
214 586 215 586 189 586 | |||
215 587 190 587 189 587 | |||
215 588 216 588 190 588 | |||
216 589 191 589 190 589 | |||
216 590 217 590 191 590 | |||
217 591 192 591 191 591 | |||
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218 594 219 594 193 594 | |||
219 595 194 595 193 595 | |||
219 596 220 596 194 596 | |||
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222 601 197 601 196 601 | |||
222 602 223 602 197 602 | |||
223 603 198 603 197 603 | |||
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226 609 201 609 200 609 | |||
226 610 227 610 201 610 | |||
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230 618 231 618 205 618 | |||
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231 620 232 620 206 620 | |||
232 621 207 621 206 621 | |||
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233 624 234 624 208 624 | |||
183 625 158 625 157 625 | |||
183 626 184 626 158 626 | |||
184 627 159 627 158 627 | |||
184 628 185 628 159 628 | |||
185 629 160 629 159 629 | |||
185 630 186 630 160 630 | |||
186 631 161 631 160 631 | |||
186 632 187 632 161 632 | |||
187 633 162 633 161 633 | |||
187 634 188 634 162 634 | |||
188 635 163 635 162 635 | |||
188 636 189 636 163 636 | |||
189 637 164 637 163 637 | |||
189 638 190 638 164 638 | |||
190 639 165 639 164 639 | |||
190 640 191 640 165 640 | |||
191 641 166 641 165 641 | |||
191 642 192 642 166 642 | |||
192 643 167 643 166 643 | |||
192 644 193 644 167 644 | |||
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193 646 194 646 168 646 | |||
194 647 169 647 168 647 | |||
194 648 195 648 169 648 | |||
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195 650 196 650 170 650 | |||
196 651 171 651 170 651 | |||
196 652 197 652 171 652 | |||
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198 655 173 655 172 655 | |||
198 656 199 656 173 656 | |||
199 657 174 657 173 657 | |||
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200 660 201 660 175 660 | |||
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201 662 202 662 176 662 | |||
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202 664 203 664 177 664 | |||
203 665 178 665 177 665 | |||
203 666 204 666 178 666 | |||
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204 668 205 668 179 668 | |||
205 669 180 669 179 669 | |||
205 670 206 670 180 670 | |||
206 671 181 671 180 671 | |||
206 672 207 672 181 672 | |||
207 673 182 673 181 673 | |||
207 674 208 674 182 674 | |||
157 675 132 675 131 675 | |||
157 676 158 676 132 676 | |||
158 677 133 677 132 677 | |||
158 678 159 678 133 678 | |||
159 679 134 679 133 679 | |||
159 680 160 680 134 680 | |||
160 681 135 681 134 681 | |||
160 682 161 682 135 682 | |||
161 683 136 683 135 683 | |||
161 684 162 684 136 684 | |||
162 685 137 685 136 685 | |||
162 686 163 686 137 686 | |||
163 687 138 687 137 687 | |||
163 688 164 688 138 688 | |||
164 689 139 689 138 689 | |||
164 690 165 690 139 690 | |||
165 691 140 691 139 691 | |||
165 692 166 692 140 692 | |||
166 693 141 693 140 693 | |||
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169 700 170 700 144 700 | |||
170 701 145 701 144 701 | |||
170 702 171 702 145 702 | |||
171 703 146 703 145 703 | |||
171 704 172 704 146 704 | |||
172 705 147 705 146 705 | |||
172 706 173 706 147 706 | |||
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173 708 174 708 148 708 | |||
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174 710 175 710 149 710 | |||
175 711 150 711 149 711 | |||
175 712 176 712 150 712 | |||
176 713 151 713 150 713 | |||
176 714 177 714 151 714 | |||
177 715 152 715 151 715 | |||
177 716 178 716 152 716 | |||
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179 720 180 720 154 720 | |||
180 721 155 721 154 721 | |||
180 722 181 722 155 722 | |||
181 723 156 723 155 723 | |||
181 724 182 724 156 724 | |||
131 725 106 725 105 725 | |||
131 726 132 726 106 726 | |||
132 727 107 727 106 727 | |||
132 728 133 728 107 728 | |||
133 729 108 729 107 729 | |||
133 730 134 730 108 730 | |||
134 731 109 731 108 731 | |||
134 732 135 732 109 732 | |||
135 733 110 733 109 733 | |||
135 734 136 734 110 734 | |||
136 735 111 735 110 735 | |||
136 736 137 736 111 736 | |||
137 737 112 737 111 737 | |||
137 738 138 738 112 738 | |||
138 739 113 739 112 739 | |||
138 740 139 740 113 740 | |||
139 741 114 741 113 741 | |||
139 742 140 742 114 742 | |||
140 743 115 743 114 743 | |||
140 744 141 744 115 744 | |||
141 745 116 745 115 745 | |||
141 746 142 746 116 746 | |||
142 747 117 747 116 747 | |||
142 748 143 748 117 748 | |||
143 749 118 749 117 749 | |||
143 750 144 750 118 750 | |||
144 751 119 751 118 751 | |||
144 752 145 752 119 752 | |||
145 753 120 753 119 753 | |||
145 754 146 754 120 754 | |||
146 755 121 755 120 755 | |||
146 756 147 756 121 756 | |||
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147 758 148 758 122 758 | |||
148 759 123 759 122 759 | |||
148 760 149 760 123 760 | |||
149 761 124 761 123 761 | |||
149 762 150 762 124 762 | |||
150 763 125 763 124 763 | |||
150 764 151 764 125 764 | |||
151 765 126 765 125 765 | |||
151 766 152 766 126 766 | |||
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152 768 153 768 127 768 | |||
153 769 128 769 127 769 | |||
153 770 154 770 128 770 | |||
154 771 129 771 128 771 | |||
154 772 155 772 129 772 | |||
155 773 130 773 129 773 | |||
155 774 156 774 130 774 | |||
105 775 80 775 79 775 | |||
105 776 106 776 80 776 | |||
106 777 81 777 80 777 | |||
106 778 107 778 81 778 | |||
107 779 82 779 81 779 | |||
107 780 108 780 82 780 | |||
108 781 83 781 82 781 | |||
108 782 109 782 83 782 | |||
109 783 84 783 83 783 | |||
109 784 110 784 84 784 | |||
110 785 85 785 84 785 | |||
110 786 111 786 85 786 | |||
111 787 86 787 85 787 | |||
111 788 112 788 86 788 | |||
112 789 87 789 86 789 | |||
112 790 113 790 87 790 | |||
113 791 88 791 87 791 | |||
113 792 114 792 88 792 | |||
114 793 89 793 88 793 | |||
114 794 115 794 89 794 | |||
115 795 90 795 89 795 | |||
115 796 116 796 90 796 | |||
116 797 91 797 90 797 | |||
116 798 117 798 91 798 | |||
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117 800 118 800 92 800 | |||
118 801 93 801 92 801 | |||
118 802 119 802 93 802 | |||
119 803 94 803 93 803 | |||
119 804 120 804 94 804 | |||
120 805 95 805 94 805 | |||
120 806 121 806 95 806 | |||
121 807 96 807 95 807 | |||
121 808 122 808 96 808 | |||
122 809 97 809 96 809 | |||
122 810 123 810 97 810 | |||
123 811 98 811 97 811 | |||
123 812 124 812 98 812 | |||
124 813 99 813 98 813 | |||
124 814 125 814 99 814 | |||
125 815 100 815 99 815 | |||
125 816 126 816 100 816 | |||
126 817 101 817 100 817 | |||
126 818 127 818 101 818 | |||
127 819 102 819 101 819 | |||
127 820 128 820 102 820 | |||
128 821 103 821 102 821 | |||
128 822 129 822 103 822 | |||
129 823 104 823 103 823 | |||
129 824 130 824 104 824 | |||
79 825 54 825 53 825 | |||
79 826 80 826 54 826 | |||
80 827 55 827 54 827 | |||
80 828 81 828 55 828 | |||
81 829 56 829 55 829 | |||
81 830 82 830 56 830 | |||
82 831 57 831 56 831 | |||
82 832 83 832 57 832 | |||
83 833 58 833 57 833 | |||
83 834 84 834 58 834 | |||
84 835 59 835 58 835 | |||
84 836 85 836 59 836 | |||
85 837 60 837 59 837 | |||
85 838 86 838 60 838 | |||
86 839 61 839 60 839 | |||
86 840 87 840 61 840 | |||
87 841 62 841 61 841 | |||
87 842 88 842 62 842 | |||
88 843 63 843 62 843 | |||
88 844 89 844 63 844 | |||
89 845 64 845 63 845 | |||
89 846 90 846 64 846 | |||
90 847 65 847 64 847 | |||
90 848 91 848 65 848 | |||
91 849 66 849 65 849 | |||
91 850 92 850 66 850 | |||
92 851 67 851 66 851 | |||
92 852 93 852 67 852 | |||
93 853 68 853 67 853 | |||
93 854 94 854 68 854 | |||
94 855 69 855 68 855 | |||
94 856 95 856 69 856 | |||
95 857 70 857 69 857 | |||
95 858 96 858 70 858 | |||
96 859 71 859 70 859 | |||
96 860 97 860 71 860 | |||
97 861 72 861 71 861 | |||
97 862 98 862 72 862 | |||
98 863 73 863 72 863 | |||
98 864 99 864 73 864 | |||
99 865 74 865 73 865 | |||
99 866 100 866 74 866 | |||
100 867 75 867 74 867 | |||
100 868 101 868 75 868 | |||
101 869 76 869 75 869 | |||
101 870 102 870 76 870 | |||
102 871 77 871 76 871 | |||
102 872 103 872 77 872 | |||
103 873 78 873 77 873 | |||
103 874 104 874 78 874 | |||
53 875 28 875 27 875 | |||
53 876 54 876 28 876 | |||
54 877 29 877 28 877 | |||
54 878 55 878 29 878 | |||
55 879 30 879 29 879 | |||
55 880 56 880 30 880 | |||
56 881 31 881 30 881 | |||
56 882 57 882 31 882 | |||
57 883 32 883 31 883 | |||
57 884 58 884 32 884 | |||
58 885 33 885 32 885 | |||
58 886 59 886 33 886 | |||
59 887 34 887 33 887 | |||
59 888 60 888 34 888 | |||
60 889 35 889 34 889 | |||
60 890 61 890 35 890 | |||
61 891 36 891 35 891 | |||
61 892 62 892 36 892 | |||
62 893 37 893 36 893 | |||
62 894 63 894 37 894 | |||
63 895 38 895 37 895 | |||
63 896 64 896 38 896 | |||
64 897 39 897 38 897 | |||
64 898 65 898 39 898 | |||
65 899 40 899 39 899 | |||
65 900 66 900 40 900 | |||
66 901 41 901 40 901 | |||
66 902 67 902 41 902 | |||
67 903 42 903 41 903 | |||
67 904 68 904 42 904 | |||
68 905 43 905 42 905 | |||
68 906 69 906 43 906 | |||
69 907 44 907 43 907 | |||
69 908 70 908 44 908 | |||
70 909 45 909 44 909 | |||
70 910 71 910 45 910 | |||
71 911 46 911 45 911 | |||
71 912 72 912 46 912 | |||
72 913 47 913 46 913 | |||
72 914 73 914 47 914 | |||
73 915 48 915 47 915 | |||
73 916 74 916 48 916 | |||
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0.9425 -0.3284 0.0612 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Reflect_Normals01" count=" 975" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
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<polylist count=" 975" material="Material2"> | |||
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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | |||
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495 25 469 25 470 25 | |||
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377 300 352 300 378 300 | |||
378 301 352 301 353 301 | |||
378 302 353 302 379 302 | |||
379 303 353 303 354 303 | |||
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183 625 157 625 158 625 | |||
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157 675 131 675 132 675 | |||
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105 775 79 775 80 775 | |||
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106 778 81 778 107 778 | |||
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108 782 83 782 109 782 | |||
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125 816 100 816 126 816 | |||
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127 820 102 820 128 820 | |||
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128 822 103 822 129 822 | |||
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129 824 104 824 130 824 | |||
79 825 53 825 54 825 | |||
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80 827 54 827 55 827 | |||
80 828 55 828 81 828 | |||
81 829 55 829 56 829 | |||
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95 858 70 858 96 858 | |||
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96 860 71 860 97 860 | |||
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97 862 72 862 98 862 | |||
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98 864 73 864 99 864 | |||
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53 875 27 875 28 875 | |||
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59 888 34 888 60 888 | |||
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63 896 38 896 64 896 | |||
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65 900 40 900 66 900 | |||
66 901 40 901 41 901 | |||
66 902 41 902 67 902 | |||
67 903 41 903 42 903 | |||
67 904 42 904 68 904 | |||
68 905 42 905 43 905 | |||
68 906 43 906 69 906 | |||
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70 910 45 910 71 910 | |||
71 911 45 911 46 911 | |||
71 912 46 912 72 912 | |||
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72 914 47 914 73 914 | |||
73 915 47 915 48 915 | |||
73 916 48 916 74 916 | |||
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75 920 50 920 76 920 | |||
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76 922 51 922 77 922 | |||
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77 924 52 924 78 924 | |||
27 925 1 925 2 925 | |||
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43 957 17 957 18 957 | |||
43 958 18 958 44 958 | |||
44 959 18 959 19 959 | |||
44 960 19 960 45 960 | |||
45 961 19 961 20 961 | |||
45 962 20 962 46 962 | |||
46 963 20 963 21 963 | |||
46 964 21 964 47 964 | |||
47 965 21 965 22 965 | |||
47 966 22 966 48 966 | |||
48 967 22 967 23 967 | |||
48 968 23 968 49 968 | |||
49 969 23 969 24 969 | |||
49 970 24 970 50 970 | |||
50 971 24 971 25 971 | |||
50 972 25 972 51 972 | |||
51 973 25 973 26 973 | |||
51 974 26 974 52 974 | |||
</p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<!-- EquatorialPlane (begin) --> | |||
<geometry id="EquatorialPlane"> | |||
<mesh> | |||
<source id="EquatorialPlane_Positions"> | |||
<float_array id="EquatorialPlane_Coordinates" count="48"> | |||
-5.5000 -5.5000 0.2000 | |||
5.5000 -5.5000 0.2000 | |||
5.5000 5.5000 0.2000 | |||
-5.5000 5.5000 0.2000 | |||
-5.7500 -5.7500 0.2000 | |||
5.7500 -5.7500 0.2000 | |||
5.7500 5.7500 0.2000 | |||
-5.7500 5.7500 0.2000 | |||
-5.5000 -5.5000 -0.2000 | |||
5.5000 -5.5000 -0.2000 | |||
5.5000 5.5000 -0.2000 | |||
-5.5000 5.5000 -0.2000 | |||
-5.7500 -5.7500 -0.2000 | |||
5.7500 -5.7500 -0.2000 | |||
5.7500 5.7500 -0.2000 | |||
-5.7500 5.7500 -0.2000 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#EquatorialPlane_Coordinates" count=" 16" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="EquatorialPlane_Normals"> | |||
<float_array id="EquatorialPlane_Normals01" count="18"> | |||
0.0000 0.0000 1.0000 | |||
0.0000 0.0000 -1.0000 | |||
0.0000 -1.0000 0.0000 | |||
0.0000 1.0000 0.0000 | |||
-1.0000 0.0000 0.0000 | |||
1.0000 0.0000 0.0000 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#EquatorialPlane_Normals01" count="6" stride="3"> | |||
<param name="X" type="float" /> | |||
<param name="Y" type="float" /> | |||
<param name="Z" type="float" /> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<vertices id="EquatorialPlane_Vertices"> | |||
<input semantic="POSITION" source="#EquatorialPlane_Positions" /> | |||
</vertices> | |||
<polylist count=" 12" material="Material2"> | |||
<input semantic="VERTEX" source="#EquatorialPlane_Vertices" offset="0" /> | |||
<input semantic="NORMAL" source="#EquatorialPlane_Normals" offset="1" /> | |||
<vcount> | |||
4 4 4 4 | |||
4 4 4 4 | |||
4 4 4 4 | |||
</vcount> | |||
<p> | |||
4 0 5 0 1 0 0 0 | |||
5 0 6 0 2 0 1 0 | |||
6 0 7 0 3 0 2 0 | |||
7 0 4 0 0 0 3 0 | |||
8 1 9 1 13 1 12 1 | |||
9 1 10 1 14 1 13 1 | |||
10 1 11 1 15 1 14 1 | |||
11 1 8 1 12 1 15 1 | |||
12 2 13 2 5 2 4 2 | |||
14 3 15 3 7 3 6 3 | |||
15 4 12 4 4 4 7 4 | |||
13 5 14 5 6 5 5 5 | |||
</p> | |||
</polylist> | |||
</mesh> | |||
</geometry> | |||
<!-- EquatorialPlane (end) --> | |||
</library_geometries> | |||
<library_animations> | |||
<animation id="First_rotation_euler_Z"> | |||
<!-- for EFE/Ou model b41c385, clockstop = 36.5047 and anglestop = 1800.0 --> | |||
<!-- this means that one 360 degree turn of the ellipsoid takes 7.3009 clock units --> | |||
<source id="First_rotation_euler_Z-input"> | |||
<float_array id="First_rotation_euler_Z-input-array" count="31"> | |||
0.00 | |||
1.22 | |||
2.43 | |||
3.65 | |||
4.87 | |||
6.08 | |||
7.30 | |||
8.52 | |||
9.73 | |||
10.95 | |||
12.17 | |||
13.39 | |||
14.60 | |||
15.82 | |||
17.04 | |||
18.25 | |||
19.47 | |||
20.69 | |||
21.90 | |||
23.12 | |||
24.34 | |||
25.55 | |||
26.77 | |||
27.99 | |||
29.20 | |||
30.42 | |||
31.64 | |||
32.85 | |||
34.07 | |||
35.29 | |||
36.50 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#First_rotation_euler_Z-input-array" count="31" stride="1"> | |||
<param name="TIME" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<!-- This sets the spin rate of the "Entire" ellipsoid --> | |||
<source id="First_rotation_euler_Z-output"> | |||
<float_array id="First_rotation_euler_Z-output-array" count="31"> | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
5.0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#First_rotation_euler_Z-output-array" count="31" stride="1"> | |||
<param name="ANGLE" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<!-- This sets the spin rate of the "MidPlane" Frame of reference --> | |||
<source id="Frame_rotation_euler_Z-output"> | |||
<float_array id="Frame_rotation_euler_Z-output-array" count="31"> | |||
1803.0 | |||
1743.0 | |||
1683.0 | |||
1623.0 | |||
1563.0 | |||
1503.0 | |||
1443.0 | |||
1383.0 | |||
1323.0 | |||
1263.0 | |||
1203.0 | |||
1143.0 | |||
1083.0 | |||
1023.0 | |||
963.0 | |||
903.0 | |||
843.0 | |||
783.0 | |||
723.0 | |||
663.0 | |||
603.0 | |||
543.0 | |||
483.0 | |||
423.0 | |||
363.0 | |||
303.0 | |||
243.0 | |||
183.0 | |||
123.0 | |||
63.0 | |||
3.0 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Frame_rotation_euler_Z-output-array" count="31" stride="1"> | |||
<param name="ANGLE" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<sampler id="First_rotation_euler_Z-sampler"> | |||
<input semantic="INPUT" source="#First_rotation_euler_Z-input"/> | |||
<input semantic="OUTPUT" source="#First_rotation_euler_Z-output"/> | |||
</sampler> | |||
<sampler id="Frame_rotation_euler_Z-sampler"> | |||
<input semantic="INPUT" source="#First_rotation_euler_Z-input"/> | |||
<input semantic="OUTPUT" source="#Frame_rotation_euler_Z-output"/> | |||
</sampler> | |||
<channel source="#First_rotation_euler_Z-sampler" target="EntireEllipsoid/rotationZ.ANGLE"/> | |||
<channel source="#Frame_rotation_euler_Z-sampler" target="Inertial/rotationZ.ANGLE"/> | |||
</animation> | |||
<!-- FLUID ELEMENT 1 --> | |||
<animation id="FluidElement1_location"> | |||
<source id="Lagrange1_location_X-input"> | |||
<float_array id="Lagrange1_location_X-input-array" count=" 37"> | |||
0.0000 | |||
1.0014 | |||
2.0029 | |||
3.0043 | |||
4.0057 | |||
5.0071 | |||
6.0086 | |||
7.0100 | |||
8.0114 | |||
9.0129 | |||
10.0143 | |||
11.0157 | |||
12.0171 | |||
13.0186 | |||
14.0200 | |||
15.0214 | |||
16.0229 | |||
17.0243 | |||
18.0257 | |||
19.0271 | |||
20.0286 | |||
21.0300 | |||
22.0314 | |||
23.0329 | |||
24.0343 | |||
25.0357 | |||
26.0371 | |||
27.0386 | |||
28.0400 | |||
29.0414 | |||
30.0429 | |||
31.0443 | |||
32.0457 | |||
33.0472 | |||
34.0486 | |||
35.0500 | |||
36.0514 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Lagrange1_location_X-input-array" count=" 37" stride="1"> | |||
<param name="TIME" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Lagrange1_location_X-output"> | |||
<float_array id="Lagrange1_location_X-output-array" count=" 37"> | |||
1.0000 | |||
0.9921 | |||
0.9686 | |||
0.9298 | |||
0.8763 | |||
0.8090 | |||
0.7290 | |||
0.6374 | |||
0.5358 | |||
0.4258 | |||
0.3090 | |||
0.1874 | |||
0.0628 | |||
-0.0628 | |||
-0.1874 | |||
-0.3090 | |||
-0.4258 | |||
-0.5358 | |||
-0.6374 | |||
-0.7290 | |||
-0.8090 | |||
-0.8763 | |||
-0.9298 | |||
-0.9686 | |||
-0.9921 | |||
-1.0000 | |||
-0.9921 | |||
-0.9686 | |||
-0.9298 | |||
-0.8763 | |||
-0.8090 | |||
-0.7290 | |||
-0.6374 | |||
-0.5358 | |||
-0.4258 | |||
-0.3090 | |||
-0.1874 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Lagrange1_location_X-output-array" count=" 37" stride="1"> | |||
<param name="X" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<sampler id="Lagrange1_location_X-sampler"> | |||
<input semantic="INPUT" source="#Lagrange1_location_X-input"/> | |||
<input semantic="OUTPUT" source="#Lagrange1_location_X-output"/> | |||
</sampler> | |||
<source id="Lagrange1_location_Y-output"> | |||
<float_array id="Lagrange1_location_Y-output-array" count=" 37"> | |||
-0.0000 | |||
-0.0514 | |||
-0.1020 | |||
-0.1509 | |||
-0.1975 | |||
-0.2410 | |||
-0.2807 | |||
-0.3159 | |||
-0.3462 | |||
-0.3710 | |||
-0.3899 | |||
-0.4027 | |||
-0.4092 | |||
-0.4092 | |||
-0.4027 | |||
-0.3899 | |||
-0.3710 | |||
-0.3462 | |||
-0.3159 | |||
-0.2807 | |||
-0.2410 | |||
-0.1975 | |||
-0.1509 | |||
-0.1020 | |||
-0.0514 | |||
0.0000 | |||
0.0514 | |||
0.1020 | |||
0.1509 | |||
0.1975 | |||
0.2410 | |||
0.2807 | |||
0.3159 | |||
0.3462 | |||
0.3710 | |||
0.3899 | |||
0.4027 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Lagrange1_location_Y-output-array" count=" 37" stride="1"> | |||
<param name="Y" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<sampler id="Lagrange1_location_Y-sampler"> | |||
<input semantic="INPUT" source="#Lagrange1_location_X-input"/> | |||
<input semantic="OUTPUT" source="#Lagrange1_location_Y-output"/> | |||
</sampler> | |||
<channel source="#Lagrange1_location_X-sampler" target="Lagrange01/location.X"/> | |||
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange01/location.Y"/> | |||
<channel source="#Lagrange1_location_X-sampler" target="Lagrange02/location.X"/> | |||
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange02/location.Y"/> | |||
<channel source="#Lagrange1_location_X-sampler" target="Lagrange03/location.X"/> | |||
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange03/location.Y"/> | |||
</animation> | |||
<!-- CLOCK (clockstop = 36.5047) | |||
One spin of ellipsoid (or frame) is 1.8252 EFE sqrt(pi * G * rho) units; | |||
Want 1 EFE unit to take 4.0 seconds of TIME; | |||
Hence, one spin of ellipsoid (360 degrees) is 7.3009 seconds of TIME; | |||
and 5 ellipsoid spins is 36.5047 seconds of TIME. | |||
Divide one spin (360) into 12 pieces | |||
==> 30 degrees = 1 timestep = 4 x 0.1521 = 0.6084 seconds of TIME. | |||
--> | |||
<animation id="Cube_quaternion_Z"> | |||
<source id="Cube_quaternion_Z-input"> | |||
<float_array id="Cube_quaternion_Z-input-array" count=" 147"> | |||
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 | |||
4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 7.75 | |||
8.00 8.25 8.50 8.75 9.00 9.25 9.50 9.75 10.00 10.25 10.50 10.75 11.00 11.25 11.50 11.75 | |||
12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75 | |||
16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75 | |||
20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75 | |||
24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75 | |||
28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25 31.50 31.75 | |||
32.00 32.25 32.50 32.75 33.00 33.25 33.50 33.75 34.00 34.25 34.50 34.75 35.00 35.25 35.50 35.75 | |||
36.00 36.25 36.50 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Cube_quaternion_Z-input-array" count=" 147" stride="1"> | |||
<param name="TIME" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="Cube_quaternion_Z-output"> | |||
<float_array id="Cube_quaternion_Z-output-array" count="2352"> | |||
0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 -0.3827 0.000 0.000 -0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 -0.7071 0.000 0.000 -0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 -0.9239 0.000 0.000 -0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.0000 -1.0000 0.000 0.000 -1.0000 0.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.3827 -0.9239 0.000 0.000 -0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 -0.7071 0.000 0.000 -0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 -0.3827 0.000 0.000 -0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 1.0000 0.0000 0.000 0.000 0.0000 -1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 0.3827 0.000 0.000 0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 0.7071 0.000 0.000 0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.3827 0.9239 0.000 0.000 0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.0000 1.0000 0.000 0.000 1.0000 0.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 0.9239 0.000 0.000 0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 0.7071 0.000 0.000 0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 0.3827 0.000 0.000 0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 -0.3827 0.000 0.000 -0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 -0.7071 0.000 0.000 -0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 -0.9239 0.000 0.000 -0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.0000 -1.0000 0.000 0.000 -1.0000 0.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.3827 -0.9239 0.000 0.000 -0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 -0.7071 0.000 0.000 -0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 -0.3827 0.000 0.000 -0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 1.0000 0.0000 0.000 0.000 0.0000 -1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 0.3827 0.000 0.000 0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 0.7071 0.000 0.000 0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.3827 0.9239 0.000 0.000 0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.0000 1.0000 0.000 0.000 1.0000 0.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 0.9239 0.000 0.000 0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 0.7071 0.000 0.000 0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 0.3827 0.000 0.000 0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 -0.3827 0.000 0.000 -0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 -0.7071 0.000 0.000 -0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 -0.9239 0.000 0.000 -0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.0000 -1.0000 0.000 0.000 -1.0000 0.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.3827 -0.9239 0.000 0.000 -0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 -0.7071 0.000 0.000 -0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 -0.3827 0.000 0.000 -0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 1.0000 0.0000 0.000 0.000 0.0000 -1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 0.3827 0.000 0.000 0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 0.7071 0.000 0.000 0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
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0.000 0.000 -1.00 0.00 0.3827 -0.9239 0.000 0.000 -0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
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0.000 0.000 -1.00 0.00 0.9239 0.3827 0.000 0.000 0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
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0.000 0.000 -1.00 0.00 -0.7071 -0.7071 0.000 0.000 -0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 -0.9239 0.000 0.000 -0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
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0.000 0.000 -1.00 0.00 0.3827 -0.9239 0.000 0.000 -0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 -0.7071 0.000 0.000 -0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 -0.3827 0.000 0.000 -0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 1.0000 0.0000 0.000 0.000 0.0000 -1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.9239 0.3827 0.000 0.000 0.3827 -0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.7071 0.7071 0.000 0.000 0.7071 -0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.3827 0.9239 0.000 0.000 0.9239 -0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 0.0000 1.0000 0.000 0.000 1.0000 0.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.3827 0.9239 0.000 0.000 0.9239 0.3827 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 0.7071 0.000 0.000 0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 0.3827 0.000 0.000 0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.9239 -0.3827 0.000 0.000 -0.3827 0.9239 0.000 0.00 0.000 0.000 0.000 1.000 | |||
0.000 0.000 -1.00 0.00 -0.7071 -0.7071 0.000 0.000 -0.7071 0.7071 0.000 0.00 0.000 0.000 0.000 1.000 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#Cube_quaternion_Z-output-array" count=" 147" stride="16"> | |||
<param name="TRANSFORM" type="float4x4"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<sampler id="Cube_quaternion_Z-sampler"> | |||
<input semantic="INPUT" source="#Cube_quaternion_Z-input"/> | |||
<input semantic="OUTPUT" source="#Cube_quaternion_Z-output"/> | |||
</sampler> | |||
<channel source="#Cube_quaternion_Z-sampler" target="Jetman/transformation"/> | |||
</animation> | |||
<!-- HOURHAND (clockstop = 36.5047) --> | |||
<animation id="HourHand_euler_Z"> | |||
<source id="HourHand_euler_Z-input"> | |||
<float_array id="HourHand_euler_Z-input-array" count=" 147"> | |||
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 | |||
4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 7.75 | |||
8.00 8.25 8.50 8.75 9.00 9.25 9.50 9.75 10.00 10.25 10.50 10.75 11.00 11.25 11.50 11.75 | |||
12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75 | |||
16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75 | |||
20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75 | |||
24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75 | |||
28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25 31.50 31.75 | |||
32.00 32.25 32.50 32.75 33.00 33.25 33.50 33.75 34.00 34.25 34.50 34.75 35.00 35.25 35.50 35.75 | |||
36.00 36.25 36.50 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#HourHand_euler_Z-input-array" count=" 147" stride="1"> | |||
<param name="TIME" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<source id="HourHand_euler_Z-output"> | |||
<float_array id="HourHand_euler_Z-output-array" count=" 147"> | |||
270.0 | |||
268.125 | |||
266.25 | |||
264.375 | |||
262.5 | |||
260.625 | |||
258.75 | |||
256.875 | |||
255.0 | |||
253.125 | |||
251.25 | |||
249.375 | |||
247.5 | |||
245.625 | |||
243.75 | |||
241.875 | |||
240.0 | |||
238.125 | |||
236.25 | |||
234.375 | |||
232.5 | |||
230.625 | |||
228.75 | |||
226.875 | |||
225.0 | |||
223.125 | |||
221.25 | |||
219.375 | |||
217.5 | |||
215.625 | |||
213.75 | |||
211.875 | |||
210.0 | |||
208.125 | |||
206.25 | |||
204.375 | |||
202.5 | |||
200.625 | |||
198.75 | |||
196.875 | |||
195.0 | |||
193.125 | |||
191.25 | |||
189.375 | |||
187.5 | |||
185.625 | |||
183.75 | |||
181.875 | |||
180.0 | |||
178.125 | |||
176.25 | |||
174.375 | |||
172.5 | |||
170.625 | |||
168.75 | |||
166.875 | |||
165.0 | |||
163.125 | |||
161.25 | |||
159.375 | |||
157.5 | |||
155.625 | |||
153.75 | |||
151.875 | |||
150.0 | |||
148.125 | |||
146.25 | |||
144.375 | |||
142.5 | |||
140.625 | |||
138.75 | |||
136.875 | |||
135.0 | |||
133.125 | |||
131.25 | |||
129.375 | |||
127.5 | |||
125.625 | |||
123.75 | |||
121.875 | |||
120.0 | |||
118.125 | |||
116.25 | |||
114.375 | |||
112.5 | |||
110.625 | |||
108.75 | |||
106.875 | |||
105.0 | |||
103.125 | |||
101.25 | |||
99.375 | |||
97.5 | |||
95.625 | |||
93.75 | |||
91.875 | |||
90.0 | |||
88.125 | |||
86.25 | |||
84.375 | |||
82.5 | |||
80.625 | |||
78.75 | |||
76.875 | |||
75.0 | |||
73.125 | |||
71.25 | |||
69.375 | |||
67.5 | |||
65.625 | |||
63.75 | |||
61.875 | |||
60.0 | |||
58.125 | |||
56.25 | |||
54.375 | |||
52.5 | |||
50.625 | |||
48.75 | |||
46.875 | |||
45.0 | |||
43.125 | |||
41.25 | |||
39.375 | |||
37.5 | |||
35.625 | |||
33.75 | |||
31.875 | |||
30.0 | |||
28.125 | |||
26.25 | |||
24.375 | |||
22.5 | |||
20.625 | |||
18.75 | |||
16.875 | |||
15.0 | |||
13.125 | |||
11.25 | |||
9.375 | |||
7.5 | |||
5.625 | |||
3.75 | |||
1.875 | |||
0.0 | |||
-1.875 | |||
-3.75 | |||
</float_array> | |||
<technique_common> | |||
<accessor source="#HourHand_euler_Z-output-array" count=" 147" stride="1"> | |||
<param name="ANGLE" type="float"/> | |||
</accessor> | |||
</technique_common> | |||
</source> | |||
<sampler id="HourHand_euler_Z-sampler"> | |||
<input semantic="INPUT" source="#HourHand_euler_Z-input"/> | |||
<input semantic="OUTPUT" source="#HourHand_euler_Z-output"/> | |||
</sampler> | |||
<channel source="#HourHand_euler_Z-sampler" target="HourHand/rotationZ.ANGLE"/> | |||
</animation> | |||
</library_animations> | |||
<library_controllers/> | |||
<library_visual_scenes> | |||
<visual_scene id="ID1"> | |||
<node id="EntireEllipsoid" name="OculusRift_EFE"> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 5.0</rotate> | |||
<scale sid="scale">5.0 5.0 5.0</scale> | |||
<node id="First" name="First_instance_EFE"> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<instance_node url="#ID3_EFE" /> | |||
</node> | |||
<node id="Second" name="Second_instance_EFE"> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 180.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<instance_node url="#ID3_EFE" /> | |||
</node> | |||
<node id="Third" name="Third_instance_EFE"> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 180.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<instance_node url="#ID3_EFE" /> | |||
</node> | |||
<node id="Fourth" name="Fourth_instance_EFE"> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 180.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 180.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<instance_node url="#ID3_EFE" /> | |||
</node> | |||
<!-- instance: Cylindrical Pointer --> | |||
<node id="CylinderPointer" name="instance_cylinder"> | |||
<translate sid="location">-1.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 180</rotate> | |||
<scale sid="scale">0.05 0.025 0.025</scale> | |||
<instance_node url="#CylPointer" /> | |||
</node> | |||
<!-- Begin LAGRANGE markers --> | |||
<node id="Lagrange01" name="instance_Lagrange01"> | |||
<translate sid="location">1.0000 0.0000 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">0.06 0.06 0.06</scale> | |||
<instance_node url="#Primary_MarkerID3" /> | |||
</node> | |||
<node id="Shrink02" name="instance_Shrink02"> | |||
<scale sid="scale">0.8 0.8 0.8</scale> | |||
<node id="Lagrange02" name="instance_Lagrange02"> | |||
<translate sid="location">1.0000 0.0000 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">0.075 0.075 0.075</scale> | |||
<instance_node url="#Primary_MarkerID3" /> | |||
</node> | |||
</node> | |||
<node id="Shrink03" name="instance_Shrink03"> | |||
<scale sid="scale">0.6 0.6 0.6</scale> | |||
<node id="Lagrange03" name="instance_Lagrange03"> | |||
<translate sid="location">1.0000 0.0000 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">0.1 0.1 0.1</scale> | |||
<instance_node url="#Primary_MarkerID3" /> | |||
</node> | |||
</node> | |||
<node id="Marker01" name="instance_marker01"> | |||
<matrix>0.025 0.0 0.0 1.0000 0.0 0.025 0.0 -0.0000 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker02" name="instance_marker02"> | |||
<matrix>0.025 0.0 0.0 0.9921 0.0 0.025 0.0 -0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker03" name="instance_marker03"> | |||
<matrix>0.025 0.0 0.0 0.9686 0.0 0.025 0.0 -0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker04" name="instance_marker04"> | |||
<matrix>0.025 0.0 0.0 0.9298 0.0 0.025 0.0 -0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker05" name="instance_marker05"> | |||
<matrix>0.025 0.0 0.0 0.8763 0.0 0.025 0.0 -0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker06" name="instance_marker06"> | |||
<matrix>0.025 0.0 0.0 0.8090 0.0 0.025 0.0 -0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker07" name="instance_marker07"> | |||
<matrix>0.025 0.0 0.0 0.7290 0.0 0.025 0.0 -0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker08" name="instance_marker08"> | |||
<matrix>0.025 0.0 0.0 0.6374 0.0 0.025 0.0 -0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker09" name="instance_marker09"> | |||
<matrix>0.025 0.0 0.0 0.5358 0.0 0.025 0.0 -0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker10" name="instance_marker10"> | |||
<matrix>0.025 0.0 0.0 0.4258 0.0 0.025 0.0 -0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker11" name="instance_marker11"> | |||
<matrix>0.025 0.0 0.0 0.3090 0.0 0.025 0.0 -0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker12" name="instance_marker12"> | |||
<matrix>0.025 0.0 0.0 0.1874 0.0 0.025 0.0 -0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker13" name="instance_marker13"> | |||
<matrix>0.025 0.0 0.0 0.0628 0.0 0.025 0.0 -0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker14" name="instance_marker14"> | |||
<matrix>0.025 0.0 0.0 -0.0628 0.0 0.025 0.0 -0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker15" name="instance_marker15"> | |||
<matrix>0.025 0.0 0.0 -0.1874 0.0 0.025 0.0 -0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker16" name="instance_marker16"> | |||
<matrix>0.025 0.0 0.0 -0.3090 0.0 0.025 0.0 -0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker17" name="instance_marker17"> | |||
<matrix>0.025 0.0 0.0 -0.4258 0.0 0.025 0.0 -0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker18" name="instance_marker18"> | |||
<matrix>0.025 0.0 0.0 -0.5358 0.0 0.025 0.0 -0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker19" name="instance_marker19"> | |||
<matrix>0.025 0.0 0.0 -0.6374 0.0 0.025 0.0 -0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker20" name="instance_marker20"> | |||
<matrix>0.025 0.0 0.0 -0.7290 0.0 0.025 0.0 -0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker21" name="instance_marker21"> | |||
<matrix>0.025 0.0 0.0 -0.8090 0.0 0.025 0.0 -0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker22" name="instance_marker22"> | |||
<matrix>0.025 0.0 0.0 -0.8763 0.0 0.025 0.0 -0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker23" name="instance_marker23"> | |||
<matrix>0.025 0.0 0.0 -0.9298 0.0 0.025 0.0 -0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker24" name="instance_marker24"> | |||
<matrix>0.025 0.0 0.0 -0.9686 0.0 0.025 0.0 -0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker25" name="instance_marker25"> | |||
<matrix>0.025 0.0 0.0 -0.9921 0.0 0.025 0.0 -0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker26" name="instance_marker26"> | |||
<matrix>0.025 0.0 0.0 -1.0000 0.0 0.025 0.0 -0.0000 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<!-- Second Half --> | |||
<node id="Marker28" name="instance_marker28"> | |||
<matrix>0.025 0.0 0.0 -0.9921 0.0 0.025 0.0 0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker29" name="instance_marker29"> | |||
<matrix>0.025 0.0 0.0 -0.9686 0.0 0.025 0.0 0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker30" name="instance_marker30"> | |||
<matrix>0.025 0.0 0.0 -0.9298 0.0 0.025 0.0 0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker31" name="instance_marker31"> | |||
<matrix>0.025 0.0 0.0 -0.8763 0.0 0.025 0.0 0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker32" name="instance_marker32"> | |||
<matrix>0.025 0.0 0.0 -0.8090 0.0 0.025 0.0 0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker33" name="instance_marker33"> | |||
<matrix>0.025 0.0 0.0 -0.7290 0.0 0.025 0.0 0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker34" name="instance_marker34"> | |||
<matrix>0.025 0.0 0.0 -0.6374 0.0 0.025 0.0 0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker35" name="instance_marker35"> | |||
<matrix>0.025 0.0 0.0 -0.5358 0.0 0.025 0.0 0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker36" name="instance_marker36"> | |||
<matrix>0.025 0.0 0.0 -0.4258 0.0 0.025 0.0 0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker37" name="instance_marker37"> | |||
<matrix>0.025 0.0 0.0 -0.3090 0.0 0.025 0.0 0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker38" name="instance_marker38"> | |||
<matrix>0.025 0.0 0.0 -0.1874 0.0 0.025 0.0 0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker39" name="instance_marker39"> | |||
<matrix>0.025 0.0 0.0 -0.0628 0.0 0.025 0.0 0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker40" name="instance_marker40"> | |||
<matrix>0.025 0.0 0.0 0.0628 0.0 0.025 0.0 0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker41" name="instance_marker41"> | |||
<matrix>0.025 0.0 0.0 0.1874 0.0 0.025 0.0 0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker42" name="instance_marker42"> | |||
<matrix>0.025 0.0 0.0 0.3090 0.0 0.025 0.0 0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker43" name="instance_marker43"> | |||
<matrix>0.025 0.0 0.0 0.4258 0.0 0.025 0.0 0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker44" name="instance_marker44"> | |||
<matrix>0.025 0.0 0.0 0.5358 0.0 0.025 0.0 0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker45" name="instance_marker45"> | |||
<matrix>0.025 0.0 0.0 0.6374 0.0 0.025 0.0 0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker46" name="instance_marker46"> | |||
<matrix>0.025 0.0 0.0 0.7290 0.0 0.025 0.0 0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker47" name="instance_marker47"> | |||
<matrix>0.025 0.0 0.0 0.8090 0.0 0.025 0.0 0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker48" name="instance_marker48"> | |||
<matrix>0.025 0.0 0.0 0.8763 0.0 0.025 0.0 0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker49" name="instance_marker49"> | |||
<matrix>0.025 0.0 0.0 0.9298 0.0 0.025 0.0 0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker50" name="instance_marker50"> | |||
<matrix>0.025 0.0 0.0 0.9686 0.0 0.025 0.0 0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<node id="Marker51" name="instance_marker51"> | |||
<matrix>0.025 0.0 0.0 0.9921 0.0 0.025 0.0 0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix> | |||
<instance_node url="#MarkersID3" /> | |||
</node> | |||
<!-- End LAGRANGE markers --> | |||
</node> <!-- END EntireEllipsoid --> | |||
<node id="Inertial" name="instance_inertial"> <!-- Start Inertial Grouping of Objects --> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 1803.0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="Zup_Pointer" name="instance_zupPointer"> | |||
<translate>0.0 0.0 5.0</translate> | |||
<rotate sid="rotationX">1 0 0 0.0</rotate> | |||
<rotate sid="rotationY">0 1 0 0.0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0.0</rotate> | |||
<scale sid="scale">0.125 0.5 1.5</scale> | |||
<instance_node url="#ZupPointer" /> | |||
</node> | |||
<!-- instance: MidPlane Frame (MidPlane flips with rotationX = 180 for clockwise spin)--> | |||
<node id="MidPlane" name="instance_MidPlane"> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.25 1.25 1.25</scale> | |||
<instance_node url="#EqPlane" /> | |||
</node> | |||
<!-- BEGIN LABELING HERE --> | |||
<node name="Labels"> | |||
<translate>7.0 -2.0 5.0</translate> | |||
<rotate sid="rotationX">1 0 0 0.0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 180</rotate> | |||
<scale sid="scale">0.1 0.1 0.1</scale> | |||
<!-- Equals sign #1 --> | |||
<node name="Equals1"> | |||
<translate>0.0 15.0 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDd51" name="instance_51"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd52" name="instance_52"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd53" name="instance_53"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd55" name="instance_55"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd56" name="instance_56"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 4.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd57" name="instance_57"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- Equals sign #2 --> | |||
<node name="Equals2"> | |||
<translate>0.0 15.0 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDd51" name="instance_51"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd52" name="instance_52"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd53" name="instance_53"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd55" name="instance_55"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd56" name="instance_56"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 4.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDd57" name="instance_57"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- Division sign #1 --> | |||
<node name="Divide1"> | |||
<translate>0.0 4.4 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 0.75 1.0</scale> | |||
<node id="IDd21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd22" name="instance_22"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 1.1 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd23" name="instance_23"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd24" name="instance_24"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 2.2 0 0 -1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd25" name="instance_25"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd26" name="instance_26"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd27" name="instance_27"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- Division sign #2 --> | |||
<node name="Divide2"> | |||
<translate>0.0 4.4 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 0.75 1.0</scale> | |||
<node id="IDd21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd22" name="instance_22"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 1.1 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd23" name="instance_23"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd24" name="instance_24"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 2.2 0 0 -1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd25" name="instance_25"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd26" name="instance_26"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
<node id="IDd27" name="instance_27"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#Black_DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- Letter "a" #1 --> | |||
<node name="Letter_a1"> | |||
<translate>0.0 8.0 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDa01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa07" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa10" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa18" name="instance_18"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa31" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa20" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- Letter "a" #2 --> | |||
<node name="Letter_a2"> | |||
<translate>0.0 8.0 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDa01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa07" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa10" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa18" name="instance_18"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa31" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa20" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- Letter "a" #2 --> | |||
<node name="Letter_a2"> | |||
<translate>0.0 8.0 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDa01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa07" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa10" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa18" name="instance_18"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa31" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDa20" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDa21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- Letter "c" --> | |||
<node name="Letter_c"> | |||
<translate>0.0 0.0 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="ID001" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID002" name="instance_2"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID006" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID007" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID010" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID011" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID018" name="instance_18"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID019" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID020" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID021" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- Letter "b" ... has 8 + (4 x 15) = 68 lines --> | |||
<node name="Letter_b"> | |||
<translate>0.0 0.0 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDb01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb02" name="instance_2"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb03" name="instance_3"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb04" name="instance_4"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb05" name="instance_5"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb12" name="instance_12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb07" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb08" name="instance_8"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb09" name="instance_9"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb10" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb20" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- DECIMAL POINTS --> | |||
<node id="IDD01" name="Decimal_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 25.0 0 0 1 1.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDD02" name="Decimal_2"> | |||
<matrix>0.25 0 0 0.0 0 1 0 25.0 0 0 1 -8.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<!-- Number "0" #1 ... has 8 + (4 x 18) = 80 lines --> | |||
<node name="Number_0"> | |||
<translate>0.0 20.0 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDb01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb02" name="instance_2"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb03" name="instance_3"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb04" name="instance_4"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb05" name="instance_5"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz19" name="instance_z19"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb07" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb08" name="instance_8"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb09" name="instance_9"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb10" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb20" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDz11" name="instance_z11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz12" name="instance_z12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz13" name="instance_z13"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- Number "0" #2 ... has 8 + (4 x 18) = 80 lines --> | |||
<node name="Number_0b"> | |||
<translate>0.0 20.0 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<node id="IDb01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb02" name="instance_2"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb03" name="instance_3"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb04" name="instance_4"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb05" name="instance_5"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz19" name="instance_z19"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb07" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb08" name="instance_8"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb09" name="instance_9"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb10" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb11" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb19" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb20" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb21" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDz11" name="instance_z11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz12" name="instance_z12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz13" name="instance_z13"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- Number "1" ... has 8 + (4 x 8) = 40 lines --> | |||
<!-- Number "2" #1 ... has 8 + (4 x 17) = 76 lines --> | |||
<!-- Number "2" #2 ... has 8 + (4 x 17) = 76 lines --> | |||
<!-- Number "3" ... has 8 + (4 x 18) = 80 lines --> | |||
<!-- Number "4" ... has 8 + (4 x 13) = 60 lines --> | |||
<!-- Number "5" ... has 8 + (4 x 17) = 76 lines --> | |||
<!-- Number "6" ... has 8 + (4 x 18) = 80 lines --> | |||
<!-- Number "7" ... has 8 + (4 x 14) = 64 lines --> | |||
<!-- Number "8" ... has 8 + (4 x 22) = 96 lines --> | |||
<!-- Number "9" ... has 8 + (4 x 15) = 68 lines --> | |||
<!-- bovera_Digit1 is "4" --> | |||
<node name="bovera_Digit1"> | |||
<translate>0.0 26.8 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<!-- Number "4" ... has 8 + (4 x 13) = 60 lines --> | |||
<node id="IDe01" name="instance_e01"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDe02" name="instance_e02"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDe02" name="instance_e02"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb04" name="instance_4"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb05" name="instance_5"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb06" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb08" name="instance_8"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb09" name="instance_9"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDn09" name="instance_9"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDf12" name="instance_n12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDn12" name="instance_n12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz12" name="instance_z12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDz13" name="instance_z13"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- bovera_Digit2 is "1" --> | |||
<node name="bovera_Digit2"> | |||
<translate>0.0 31.8 1.0</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<!-- Number "1" ... has 8 + (4 x 8) = 40 lines --> | |||
<node id="ID101" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID102" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID103" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID104" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID105" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID106" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID107" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID109" name="instance_z19"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
</node> | |||
<!-- covera_Digit1 is "3" --> | |||
<node name="covera_Digit1"> | |||
<translate>0.0 26.8 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<!-- Number "3" ... has 8 + (4 x 18) = 80 lines --> | |||
<node id="ID301" name="instance_e01"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID302" name="instance_e02"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID303" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID304" name="instance_5"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID305" name="instance_z19"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID306" name="instance_6"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID307" name="instance_7"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID308" name="instance_8"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID309" name="instance_9"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID310" name="instance_10"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID311" name="instance_11"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID312" name="instance_19"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID313" name="instance_20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID314" name="instance_21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID315" name="instance_e19"> | |||
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID316" name="instance_e20"> | |||
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="ID317" name="instance_z12"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="ID318" name="instance_z13"> | |||
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- covera_Digit2 is "8" --> | |||
<node name="covera_Digit2"> | |||
<translate>0.0 31.8 -8.5</translate> | |||
<rotate sid="rotationX">1 0 0 0</rotate> | |||
<rotate sid="rotationY">0 1 0 0</rotate> | |||
<rotate sid="rotationZ">0 0 1 0</rotate> | |||
<scale sid="scale">1.0 1.0 1.0</scale> | |||
<!-- Number "8" ... has 8 + (4 x 22) = 96 lines --> | |||
<node id="IDe01" name="instance_e01"> | |||
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDe02" name="instance_e02"> | |||
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb01" name="instance_1"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb02" name="instance_2"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDe19" name="instance_e19"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDe21" name="instance_e21"> | |||
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#DiagonalID3" /> | |||
</node> | |||
<node id="IDb04" name="instance_4"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
<node id="IDb05" name="instance_5"> | |||
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
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<instance_node url="#DiagonalID3" /> | |||
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<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix> | |||
<instance_node url="#LettersID3" /> | |||
</node> | |||
</node> | |||
<!-- END LABELING HERE --> | |||
</node> | |||
<!-- BEGIN CLOCK --> | |||
<node id="EntireClock" name="instance_Clock"> | |||
<translate>7.0 0.0 5.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.00 1.00 1.00</scale> | |||
<node id="firstclock" name="instance_1"> <!-- TWO --> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate> | |||
<scale sid="scale">1.00 1.00 1.00</scale> | |||
<instance_node url="#ID3" /> | |||
</node> <!-- /TWO --> | |||
<node id="Jetman" name="instance_Arrow"> <!-- TWO --> | |||
<matrix sid="transformation"> 0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000</matrix> | |||
<instance_node url="#ArrowID3" /> | |||
</node> <!-- /TWO --> | |||
<node id="HourHand" name="instance_Hour"> <!-- TWO --> | |||
<translate>0.0 0.0 0.0</translate> | |||
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate> | |||
<rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate> | |||
<rotate sid="rotationZ">0.0 0.0 1 270.0</rotate> | |||
<scale sid="scale">0.75 0.75 0.75</scale> | |||
<instance_node url="#HourID3" /> | |||
</node> <!-- /TWO --> | |||
</node> | |||
<!-- END CLOCK --> | |||
</node> <!-- End Inertial Grouping of Objects --> | |||
</visual_scene> | |||
</library_visual_scenes> | |||
<scene> | |||
<instance_visual_scene url="#ID1" /> | |||
</scene> | |||
</COLLADA> | |||
</pre> | |||
</div> | |||
==Inside the Oculus Rift S Environment== | |||
===Introduction=== | |||
The [https://www.oculus.com/rift-s/ Oculus Rift S] will import user-constructed 3D objects and allow you to place those objects in a high-quality, interactive virtual reality (VR) environment. But the Oculus system does not accept COLLADA-formatted files directly. Instead, it is set up to import files that are in a ".glb" format, which is the binary version of a "GL Transmission Format" ([https://www.khronos.org/gltf/ glTF]) file. My original expectation was that, after I learned how to construct some intricate and astrophysically interesting 3D visual scenes using COLLADA — successfully accomplished (!) as illustrated above — all I would need to do is find a community tool that could translate a COLLADA (.dae) file into glTF (.glb). | |||
Here are a few discoveries I made along the way: | |||
<ul> | |||
<li>The Windows 10 startup menu includes a "3D Viewer" app but, at least on my Lenova PC, it does not recognize .dae-formatted files.</li> | |||
<li>The Windows 10 startup menu includes a "Paint 3D" application. Using this app, it was very easy to "draw" some simple 3D geometric objects — such as a cube or a torus — and it was straightforward to export each object to a .glb-formatted file.</li> | |||
<li>[https://www.adobe.com/products/photoshop.html Adobe Photoshop] can read in a COLLADA (.dae) file and it is capable of exporting a 3D scene in .glb format.</li> | |||
<li>[https://blackthread.io BlackThread.io] offers a browser-based tool, named "glTF Converter", that can ostensibly translate .dae-formatted files into .glb-formatted files.</li> | |||
<li>The [https://www.khronos.org Khronos Group]'s "COLLADA to glTF" conversion tool can be located under [https://github.com/KhronosGroup/COLLADA2GLTF/ the group's name on GitHub].</li> | |||
</ul> | |||
===Khronos Group's COLLADA2GLTF Converter=== | |||
Among this group of potentially useful tools, we have had — by far — the most success/luck using the <font color="red">Khronos Group's COLLADA2GLTF</font> converter. We downloaded and installed version 2 of this Khronos Group conversion tool on our Mac Pro. The executable, named <b>COLLADA2GLTF-bin</b>, was installed on our Mac at the end of a directory tree named …/Dropbox/Lenovo/COLLADA_to_gltf/COLLADA2GLTF-v2/. In order to translate a specific COLLADA-formatted (''filename.dae) file: | |||
<ul> | |||
<li>From inside the Mac's "Terminal" application, we changed directories until we were sitting in the above-specified Mac (Dropbox) directory</li> | |||
<li>We moved (or copied) the chosen COLLADA-formatted file (<b>''filename''.dae</b>) into the same directory | |||
<li>At the terminal prompt, we typed the line command: <b>./COLLADA2GLTF-bin -i ''filename''.dae -b</b></li> | |||
<li>The .glb-formatted output file was stored as <b>…/Dropbox/Lenovo/COLLADA_to_gltf/COLLADA2GLTF-v2/output/''filename''.glb</b></li> | |||
</ul> | |||
<table border="1" cellpadding="8" align="center"> | |||
<tr> | |||
<td align="center">Example Mac-Pro Line Commands + Responses</td> | |||
</tr> | |||
<tr><td align="left"> | |||
<pre> | |||
command: pwd | |||
response: ../Dropbox/Lenovo/COLLADA_to_gltf/COLLADA2GLTF-v2 | |||
command: ls *.dae | |||
response: Inertial17.dae | |||
command: ./COLLADA2GLTF-bin -i Inertial17.dae -b | |||
response: Converting Inertial17.dae -> output/Inertial17.glb | |||
Time: 48.166 ms | |||
</pre> | |||
</td></tr> | |||
</table> | |||
<font color="red">CAUTION!</font> While we found this COLLADA2GLTF converter to be a very useful tool, we also discovered that porting a model from one visualization environment to another can be a challenging and frustrating endeavor. It is difficult enough to build a (error-free) COLLADA-formatted model that will properly display a desired animated scene in the Mac's Preview app. But it is naive to expect that that same COLLADA code will survive a translation to glTF and seamlessly construct the identical animated scene within the Oculus Rift S environment. In a pair of accompanying chapters — [[User:Tohline/Appendix/Ramblings/OculusRift_S|this one]], followed by [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus#Rebuild_Riemann_S-Type_Ellipsoid_Inside_Oculus_Rift_S_Environment|another one]] — we have chronicled the steps that we have taken to generate our first few (error-free) COLLADA-based models that display properly in both environments. Experience has taught us that … (1) When interpreting COLLADA's <xml>-formatted instructions, the Mac's Preview app is considerably more forgiving than is the Oculus system; (2) almost any code that display's properly in the Mac's Preview app will survive the translation to glTF, in the sense that the COLLADA2GLTF converter seldom complains; but, (3) nevertheless, frequently the Oculus system won't display the model because it detects an error(s), but it almost never suggests what the error(s) might be. When embarking on the development of a new interactive and animated 3D visual scene, the best strategy is a time-consuming one: Start with a COLLADA code that works in both environments — we provide two such codes herein; make only incremental changes and ensure that the model displays properly in the Mac's Preview app; convert the COLLADA-based code to glTF (.glb); don the Oculus Rift S headset & hand controllers, and attempt to import this new model into your "Oculus Home". | |||
===Import to Oculus Rift S Environment=== | |||
We purchased a Lenovo PC (Windows 10) gaming laptop to drive the Oculus Rift S system; more specifically, it is Lenovo's Legion Y740 15" with NVIDIA GeForce GTX 1660Ti 6GB. Two connections were required: (1) Mini DisplayPort; and (2) USB. We downloaded and installed the Oculus program files under the directory <b>C:\Program Files\Oculus</b>. We also mounted Dropbox on the Lenovo, which gave us immediate access to the model files that were created using the Mac Pro. As an example, we located the model file named <b>Inertial17.glb</b> and placed a copy of the file in the directory <b>… This PC\Documents\Oculus Home\_Import</b>. Any (error free) ".glb"-formatted file that is located in this directory is available for import into the Oculus' 3D virtual-reality environment. | |||
When we want to view one of our models, we first start the Oculus application on the Lenovo then click on "Devices" to check whether the headset and two hand controllers are in proper communication with the PC (GREEN buttons) or not (RED buttons). We don the headset & controllers, thereby entering the Oculus Rift S VR environment. [Occasionally we forget to start the Oculus app before putting on the headset. When this happens, the app seems to sense that we have donned the headset and it starts itself!] The following sequence of steps allows us to place the example model, <b>Inertial17</b>, into our ''Oculus Home''. | |||
<table border="1" align="left" width="100%" cellpadding="8"> | |||
<tr> | |||
<th align="center" colspan="2"><font size="+1">Inside the ''Oculus Rift S'' Home Environment</font></th> | |||
</tr> | |||
<tr> | |||
<td align="center">[[File:HomeImage01sm.png|200px|Oculus Home (view 1)]]</td> | |||
<td align="left">The image shown here, immediately to the left, is a snapshot of the first scene that is displayed in our ''Oculus Home'' shortly after we have donned the headset and the pair of hand controllers. The shallow, curved desk immediately in front of us presents ten or so clickable panels (menu choices). In the image, we have highlighted the "Home" button by pointing to it with the index finger of our right hand. | |||
<ul> | |||
<li><font color="red">Click</font> on the "Home" button; the interactive panels in this scene will disappear.</li> | |||
<li>Wait (~ 10 seconds) and our stored "Home" environment will load.</li> | |||
<li>"Menu" button vs. "Oculus" button</li> | |||
</ul> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td align="center">[[File:HomeImage02sm.mod.png|200px|Oculus Home (view 2)]]</td> | |||
<td align="left"> | |||
<ul> | |||
<li><font color="red">Click</font> the "Menu" button on the left-hand controller; it sits just below the "Y" and "X" buttons;</li> | |||
</ul> | |||
The image shown here, immediately to the left, is a snapshot of a portion of the scene that is displayed after we have clicked the "Menu" button on our left-hand controller. As illustrated, we have pointed to — and thereby have highlighted in blue — the top menu item, "<font color="blue">Places</font>," and we are in the process of sliding our aim down to the next menu item, "Inventory." | |||
<ul> | |||
<li><font color="red">Click</font> the "Inventory" menu item.</li> | |||
</ul> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td align="center">[[File:HomeImage03sm.mod.png|200px|Oculus Home (view 3)]]</td> | |||
<td align="left"> | |||
As is shown here, immediately to the left, the menu panel is updated after the "Inventory" button has been clicked, as directed above. | |||
<ul> | |||
<li><font color="red">Click</font> the "My Imports" menu item.</li> | |||
</ul> | |||
After highlighting then clicking "<font color="blue">My Imports</font>," a three-dimensional display case (a shadow box) containing up to 4 × 3 objects appears, as is illustrated here in the screenshot on the left. Each object in this display case is generated from one of the (error free) ".glb"-formatted files that is located in the aforementioned Lenovo directory <b>… This PC\Documents\Oculus Home\_Import</b> — including files that reside in subdirectories of this parent _Import directory. | |||
</td> | |||
</tr> | |||
<tr> | |||
<td align="left" colspan="2"> | |||
NOTE: | |||
<ul> | |||
<li>The display case can hold more than twelve objects, but it will only display twelve at a time. In order to see more, you need to point to (any) one of the displayed objects then use the hand-controller's toggle button to scroll the shelves of the display case up or down.</li> | |||
<li>If Oculus sees a (error free) ".glb" file that it has never seen before — for example, a new model file that you have just placed in the PC's <b>…\_Import</b> directory — it will display a panel asking you to "<font color="blue">Confirm</font>" that you have permission to load this material.</li> | |||
<li>If the Oculus determines that one of your ".glb" files contains an error, it may try to display the faulty object in the display case and attach some sort of warning message. More often than not, however, it will simply ignore the file and leave you wondering why the object does not appear in the display case. | |||
</ul> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td align="center">[[File:HomeImage04sm.mod.png|200px|Oculus Home (view 4)]]</td> | |||
<td align="left"> | |||
<ul> | |||
<li>Point at an object in the display case, then <font color="red">Grab</font> it (using the controller's middle-finger "grip" switch) and place it somewhere in your ''Home'' room.</li> | |||
</ul> | |||
In the image shown here, immediately on the left, we are pointing at, and are about to "grab", the model we have named, <b>MultiLagrange18</b>. We could have, just as well, pointed at and grabbed the model sitting on the shelf next to it named, <b>Inertial17</b>. | |||
<br /> | |||
It is worth mentioning that after you have ''grabbed'' an object — and before you have placed it in the room — you can do several things with it. | |||
<ol><li>Using the hand controller's ''thumbstick'', you can move the object farther from (or closer to) you by pushing the thumbstick away from you (or by pulling it toward you).</li> | |||
<li>Using the controller's index-finger ''trigger'', you can toggle between a mode that lets you spin the object and a mode that let's you resize it. In either mode, the direction or amplitude of the spin/resizing is determined by pushing the ''thumbstick'' to the left or right varying amounts.</li> | |||
</ol> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td align="center">[[File:HomeImage05sm.png|200px|Oculus Home (view 5)]]</td> | |||
<td align="left"> | |||
The image shown here, immediately on the left, is a snapshot of our Oculus ''Home'' shortly after our model named, <b>Inertial17</b>, has been resized (enlarged) then placed in the room. | |||
</td> | |||
</tr> | |||
<tr> | |||
<td align="left" colspan="2"> | |||
NOTE: The steps required to remove a model from the "<font color="blue">My Imports</font>" Inventory — that is, from the display case — are not easy to guess. Here we identify what appears to be the required sequence of steps, using our model, <b>MultiLagrange18</b>, as an example. | |||
<ul> | |||
<li>Assuming the <b>MultiLagrange18</b> model is one of the objects that is on display in the ''Oculus Home'' room, grab it with the right-hand controller and use the index-finger "trigger" to toggle to the mode that lets you spin the object (the resize mode does not seem to work for this task).</li> | |||
<li>Press the "B" button; this should return the object to the "My Imports" display case.</li> | |||
<li>Point your index finger at the compartment on the "My Imports" display case that contains the (miniaturized) <b>MultiLagrange18</b> model, then use your thumb to press the "B" controller button. [Be careful not to squeeze the "grip" button with your middle finger instead, as you will end up unintentionally grabbing the object again.] A small panel containing bibliographical information about the <b>MultiLagrange18</b> file will appear immediately in front of your face; an even smaller accompanying panel will ask if you want to "Remove Upload", that is, do you want to remove the file from the inventory.</li> | |||
<li>Point your index finger at the smaller of these two panels and click on it (using the middle finger's "grip" button) to indicate you want the file removed. The panels will disappear but, confusingly, the inventory display box will not change in any way to signify that your request is being implemented.</li> | |||
<li>Remove the headset; sit down in front of the Lenovo PC; locate the <b>MultiLagrange18.glb</b> that has been stored in the Oculus' _Import directory and trash it! | |||
The next time you don the Oculus Rift S headset and look at the "My Imports" display case, the <b>MultiLagrange18</b> will no lonber be among the group of displayed objects. | |||
</ul> | |||
</td> | |||
</tr> | |||
</table> | |||
<p> </p> | |||
<table border="1" align="center" cellpadding="0" width="710px" cellpadding="5"> | |||
<tr> | |||
<th align="center" colspan="2"><font size="+1">Additional Photos from Inside the ''Oculus Rift S'' Home Environment</font></th> | |||
</tr> | |||
<tr> | |||
<td align="center">[[File:B41c385 Oculus03.jpg|350px|Third Oculus Rift Selfie]]</td> | |||
<td align="center">[[File:B41c385 Oculus02.jpg|350px|Second Oculus Rift Selfie]]</td> | |||
</tr> | |||
<tr> | |||
<td align="center" colspan="2">[[File:B41c385 Oculus01.jpg|700px|Third Oculus Rift Selfie]]</td> | |||
</tr> | |||
<tr> | |||
<td align="left" colspan="2"> | |||
Two of our COLLADA-driven animated models can be identified in each of the three frames of this image montage: In all three cases, the one on the right is model <b>Inertial17</b> and the one on the left is model <b>MultiLagrange18</b>. The bottom (selfie) visual scene illustrates that we can add to our Oculus home environment other items that are straightforwardly selected from a large Oculus objects inventory. | |||
</td> | |||
</tr> | |||
</table> | |||
==Footnotes== | |||
<sup>‡</sup>Adopting the characteristic mass <math>~(M_\mathrm{Ch} = \mu_e^{-2} \cdot 1.14205 \times 10^{34} ~\mathrm{g})</math> and characteristic length <math>~(\ell_1 = \mu_e^{-1} \cdot 7.71395 \times 10^{8} ~\mathrm{cm})</math> that are associated with a [[User:Tohline/SSC/Structure/WhiteDwarfs#White_Dwarfs|white dwarf]] equation of state, we can reasonably state that the characteristic mean density of a spherically symmetric white dwarf is, | |||
<table border="0" cellpadding="5" align="center"> | |||
<tr> | |||
<td align="right"> | |||
<math>~{\bar\rho}_\mathrm{WD}</math> | |||
</td> | |||
<td align="center"> | |||
<math>~\equiv</math> | |||
</td> | |||
<td align="left"> | |||
<math>~ | |||
\frac{3 M_\mathrm{Ch}}{4\pi \ell_1^3} = \mu_e \cdot 5.93972 \times 10^{6}~\mathrm{g}~{\mathrm{cm}}^{-3} \, . | |||
</math> | |||
</td> | |||
</tr> | |||
</table> | |||
Drawing from our [[#Animation|above discussion of timescales that arise in the context of our COLLADA-driven animations]], we therefore appreciate that the characteristic oscillation period associated with a white dwarf whose molecular weight of electrons is <math>~\mu_e = 2</math>, proves to be, | |||
<table border="0" cellpadding="5" align="center"> | |||
<tr> | |||
<td align="right"> | |||
<math>~[P_0]_\mathrm{WD}</math> | |||
</td> | |||
<td align="center"> | |||
<math>~=</math> | |||
</td> | |||
<td align="left"> | |||
<math>~ | |||
\biggl[ \frac{4\pi}{G{\bar\rho}_\mathrm{WD}} \biggr]^{1 / 2} = 3.98~\mathrm{s}\, . | |||
</math> | |||
</td> | |||
</tr> | |||
</table> | |||
By presenting animation scenes in which one wall-clock "hour" equates to approximately 4 seconds of real time, we can reasonably assert that our animated models fairly represent how a Riemann-ellipsoid-like white dwarf should behave in real time. | |||
=See Also= | |||
* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype|Ou's Riemann-Like Ellipsoids]] | * Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype|Ou's Riemann-Like Ellipsoids]] | ||
* [[User:Tohline/Appendix/Ramblings/VirtualReality|Virtual Reality and 3D Printing]] | |||
* [[User:Tohline/Appendix/Ramblings/OculusRift_S|Success Importing Animated Scene into Oculus Rift S]] | * [[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS|Riemann Meets COLLADA & Oculus Rift S]]: Example <b>(b/a, c/a) = (0.41, 0.385)</b> | ||
* [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus|Carefully (Re)Build Riemann S | ** [[User:Tohline/Appendix/Ramblings/VirtualReality#Virtual_Reality_and_3D_Printing|Virtual Reality and 3D Printing]] | ||
** [[User:Tohline/Appendix/Ramblings/OculusRift_S|Success Importing Animated Scene into Oculus Rift S]] | |||
** [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]] | |||
** Other Example S-type Riemann Ellipsoids: | |||
*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB90C333|(b/a, c/a) = (0.90, 0.333)]]</b> | |||
*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB74C692|(b/a, c/a) = (0.74, 0.692)]]</b> | |||
*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB28C256|(b/a, c/a) = (0.28, 0.256)]]</b> | |||
{{LSU_HBook_footer}} | {{LSU_HBook_footer}} | ||
Latest revision as of 03:56, 14 June 2020
Riemann Meets COLLADA & Oculus Rift S
If you want to jump straight to the fun part, copy the ASCII text file that is contained below within the scrollable box named, Inertial17.dae, and read the accompanying instructions regarding how to view this example model on a Mac. A second file — presenting the same example model, but as viewed from a rotating frame of reference — can be extracted from a separate scrollable box named, MultiLagrange18.dae.
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Example Model
Key Physical Parameters
The model that we have chosen to use in our first successful construction of a COLLADA-based, 3D and interactive animation has the following properties; this model has been selected from Table 2 of our accompanying discussion of Riemann S-type ellipsoids:
|
Figure 1a |
|
<math>~\frac{b}{a} = 0.41</math> |
|
Figure 1b |
||
|
<math>~\frac{c}{a} = 0.385</math> |
||||||
|
Direct |
|
Adjoint |
||||
|
<math>~\Omega_\mathrm{EFE} = 0.547874</math> |
<math>~\Omega_\mathrm{EFE} = - 0.079886</math> |
|||||
|
<math>~\lambda_\mathrm{EFE} = 0.079886</math> |
<math>~\lambda_\mathrm{EFE} = - 0.547874</math> |
|||||
|
<math>~f = - 0.415418</math> |
<math>~f = - 19.53923</math> |
|||||
The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [EFE], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" EFE Diagram that appears as Figure 2 on p. 902 of S. Chandrasekhar (1965); essentially the same diagram appears in §49 (p. 147) of [EFE].
In a separate chapter we have discussed various properties of uniformly rotating, Jacobi ellipsoids; they are equilibrium configurations that lie along the sequence that runs from "M2" (on the b/a = 1, Maclaurin sequence) to the origin of this diagram. Our chosen model lies off of — just above — the Jacobi-ellipsoid sequence, which means that it is not rotating as a solid body. Instead, as we focus first on the direct (as opposed to the adjoint) configuration, we appreciate that while the ellipsoid is spinning prograde (counter-clockwise) with a frequency given by |ΩEFE|, each Lagrangian fluid element inside as well as on the surface of the ellipsoid is traveling retrograde (clockwise) along an elliptical path with a frequency given by |λEFE|.
The COLLADA Code & Initial 3D Scene
The following scrollable box titled, Inertial17.dae, contains an <xml>-formatted COLLADA code that, when properly executed, uses the interactive, 3D animation capabilities of video game drivers to illustrate, in a quantitatively precise fashion, the dynamical flows that are associated with our chosen example model of an equilibrium S-type Riemann ellipsoid. On a Macintosh computer platform, all of the features of this animated and interactive model can be accessed by simply opening the file using Apple's in-house "Preview" application. Figure 1b provides a snapshot of the Preview app's window immediately (TIME = 0.0) after the COLLADA code has been read into the app. More elements of this 3D visual scene will be identified and discussed below, but for now we simply point out that the center of the opaque, purple ellipsoid coincides with the origin of the principal underlying "laboratory" coordinate frame — that is, at (X0, Y0, Z0) = (0, 0, 0) — and the ellipsoid has the desired axis ratios (b/a, c/a) = (0.41, 0.385).
Inertial17.dae … a COLLADA code containing 7968 lines of <xml>-formatted ASCII text
<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
<COLLADA xmlns="http://www.collada.org/2005/11/COLLADASchema" version="1.4.1">
<asset>
<contributor>
<author>jet53man</author>
<authoring_tool>Raw XML</authoring_tool>
</contributor>
<created>2020-04-28</created>
<modified>2020-05-20</modified>
<unit meter="0.0254" name="inch" />
<up_axis>Z_UP</up_axis>
<!--
This file originally was named FullLast45X.dae ...
here its assigned name is Inertial17.dae (etc.)
we are inserting various objects, drawn from b41c385_DI.dae
<node> <geometry> <material> <effect>
*** firstclock: ID3 Clock_OuterEdge ID6 ID5
*** : Clock_InnerEdge InnerID6 InnerID5
*** Jetman : ArrowID3 Clock_ArrowEdge ArrowID6 ArrowID5
*** HourHand : HourID3 Clock_HourEdge HourID6 HourID5
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</asset>
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<color>0.5 0.0 0.99 1.0</color>
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<transparency>
<float sid="transparency">1.0</float>
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</profile_COMMON>
</effect>
<effect id="DiffuseRed_EFE">
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<lambert>
<diffuse>
<color>1.0 0.0 0.0 1.0</color>
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</effect>
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<!-- material: MidPlane Frame -->
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<!-- material: Cylindrical Pointer -->
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<material id="Primary_MarkerID6" name="primary_marker_material">
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<!-- material: Letters -->
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<!-- node: Three clock components -->
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<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="Clock_InnerVertices">
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</vertices>
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<input semantic="VERTEX" source="#Clock_InnerVertices" offset="0" />
<input semantic="NORMAL" source="#Clock_InnerNormals" offset="1"/>
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</mesh>
</geometry>
<geometry id="Clock_ArrowEdge">
<mesh>
<!--
**********************************************
*
* Insert arrow portion of clock's structure
*
**********************************************
-->
<source id="Clock_ArrowPositions">
<float_array id="ArrowCoordinates01" count="30"> 0.0 0.85 0.25 0.1 0.0 0.25 0.0 -0.2 0.25 -0.1 0.0 0.25 0.0 0.85 0.05 0.1 0.0 0.05 0.0 -0.2 0.05 -0.1 0.0 0.05 0.0 0.0 0.25 0.0 0.0 0.05 </float_array>
<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
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</technique_common>
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<source id="Clock_ArrowNormals">
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<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
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<vertices id="Clock_ArrowVertices">
<input semantic="POSITION" source="#Clock_ArrowPositions" />
</vertices>
<polylist count="12" material="Material2">
<input semantic="VERTEX" source="#Clock_ArrowVertices" offset="0" />
<input semantic="NORMAL" source="#Clock_ArrowNormals" offset="1"/>
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</polylist>
</mesh>
</geometry>
<geometry id="Clock_HourEdge">
<mesh>
<!--
**********************************************
*
* Insert hour_hand portion of clock's structure
*
**********************************************
-->
<source id="Clock_HourPositions">
<float_array id="HourCoordinates01" count="30"> 0.0 0.85 0.25 0.1 0.0 0.25 0.0 -0.2 0.25 -0.1 0.0 0.25 0.0 0.85 0.05 0.1 0.0 0.05 0.0 -0.2 0.05 -0.1 0.0 0.05 0.0 0.0 0.25 0.0 0.0 0.05 </float_array>
<technique_common>
<accessor source="#HourCoordinates01" count="10" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
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</source>
<source id="Clock_HourNormals">
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
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<vertices id="Clock_HourVertices">
<input semantic="POSITION" source="#Clock_HourPositions" />
</vertices>
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<input semantic="VERTEX" source="#Clock_HourVertices" offset="0" />
<input semantic="NORMAL" source="#Clock_HourNormals" offset="1"/>
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</mesh>
</geometry>
<!-- geometry: Letters -->
<geometry id="CubeID4">
<mesh>
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<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
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<source id="CubeID8_Normals">
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0 0 1
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
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<vertices id="CubeID9_Vertices">
<input semantic="POSITION" source="#CubeID7_Positions" />
</vertices>
<polylist count="12" material="Material2">
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<input semantic="NORMAL" source="#CubeID8_Normals" offset="1" />
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<p>
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<geometry id="DiagonalID4">
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0.5 -0.5 0.5
0.5 0.5 -0.5
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<technique_common>
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<param name="X" type="float" />
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<param name="Z" type="float" />
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</source>
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0 -1 0
0 1 0
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<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
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<vertices id="DiagonalID9_Vertices">
<input semantic="POSITION" source="#DiagonalID7_Positions" />
</vertices>
<polylist count="8" material="Material2">
<input semantic="VERTEX" source="#DiagonalID9_Vertices" offset="0" />
<input semantic="NORMAL" source="#DiagonalID8_Normals" offset="1" />
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<p>
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0 4 3 4 2 4 4 5 6 5 7 5
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</polylist>
</mesh>
</geometry>
<!-- geometry: Cubes for Lagrangian Markers -->
<geometry id="CubeID4">
<mesh>
<source id="CubeID7_Positions">
<float_array id="CoordinatesID10" count="24">
-0.5 -0.5 -0.5
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0.5 -0.5 -0.5
0.5 -0.5 0.5
0.5 0.5 -0.5
0.5 0.5 0.5
</float_array>
<technique_common>
<accessor source="#CoordinatesID10" count="8" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="CubeID8_Normals">
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0 0 -1
0 0 1
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</float_array>
<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="CubeID9_Vertices">
<input semantic="POSITION" source="#CubeID7_Positions" />
</vertices>
<polylist count="12" material="Material2">
<input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" />
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<p>
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</p>
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</mesh>
</geometry>
<!-- geometry: Cylindrical Pointer -->
<geometry id="Cylinder">
<mesh>
<source id="Cyl_Positions">
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<technique_common>
<accessor source="#CylCoords01" count="18" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="Cyl_Normals">
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0.0 1.0 0.0
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<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="Cyl_Vertices">
<input semantic="POSITION" source="#Cyl_Positions" />
</vertices>
<polylist count="32" material="Material2">
<input semantic="VERTEX" source="#Cyl_Vertices" offset="0" />
<input semantic="NORMAL" source="#Cyl_Normals" offset="1" />
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<p>
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11 11 10 11 17 11
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</polylist>
</mesh>
</geometry>
<!--
**********************************************
*
* Insert Geometry of Ellipsoid Octant
*
**********************************************
-->
<geometry id="EllipsoidOctant">
<mesh>
<source id="Ellipsoid_Positions">
<float_array id="Ellipsoid_Coordinates" count=" 1563">
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</p>
</polylist>
</mesh>
</geometry>
<!-- EquatorialPlane (begin) -->
<geometry id="EquatorialPlane">
<mesh>
<source id="EquatorialPlane_Positions">
<float_array id="EquatorialPlane_Coordinates" count="48">
-5.5000 -5.5000 0.2000
5.5000 -5.5000 0.2000
5.5000 5.5000 0.2000
-5.5000 5.5000 0.2000
-5.7500 -5.7500 0.2000
5.7500 -5.7500 0.2000
5.7500 5.7500 0.2000
-5.7500 5.7500 0.2000
-5.5000 -5.5000 -0.2000
5.5000 -5.5000 -0.2000
5.5000 5.5000 -0.2000
-5.5000 5.5000 -0.2000
-5.7500 -5.7500 -0.2000
5.7500 -5.7500 -0.2000
5.7500 5.7500 -0.2000
-5.7500 5.7500 -0.2000
</float_array>
<technique_common>
<accessor source="#EquatorialPlane_Coordinates" count=" 16" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="EquatorialPlane_Normals">
<float_array id="EquatorialPlane_Normals01" count="18">
0.0000 0.0000 1.0000
0.0000 0.0000 -1.0000
0.0000 -1.0000 0.0000
0.0000 1.0000 0.0000
-1.0000 0.0000 0.0000
1.0000 0.0000 0.0000
</float_array>
<technique_common>
<accessor source="#EquatorialPlane_Normals01" count="6" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="EquatorialPlane_Vertices">
<input semantic="POSITION" source="#EquatorialPlane_Positions" />
</vertices>
<polylist count=" 12" material="Material2">
<input semantic="VERTEX" source="#EquatorialPlane_Vertices" offset="0" />
<input semantic="NORMAL" source="#EquatorialPlane_Normals" offset="1" />
<vcount>
4 4 4 4
4 4 4 4
4 4 4 4
</vcount>
<p>
4 0 5 0 1 0 0 0
5 0 6 0 2 0 1 0
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7 0 4 0 0 0 3 0
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13 5 14 5 6 5 5 5
</p>
</polylist>
</mesh>
</geometry>
<!-- EquatorialPlane (end) -->
</library_geometries>
<library_animations>
<animation id="First_rotation_euler_Z">
<!-- for EFE/Ou model b41c385, clockstop = 36.5047 and anglestop = 1800.0 -->
<!-- this means that one 360 degree turn of the ellipsoid takes 7.3009 clock units -->
<source id="First_rotation_euler_Z-input">
<float_array id="First_rotation_euler_Z-input-array" count="31">
0.00
1.22
2.43
3.65
4.87
6.08
7.30
8.52
9.73
10.95
12.17
13.39
14.60
15.82
17.04
18.25
19.47
20.69
21.90
23.12
24.34
25.55
26.77
27.99
29.20
30.42
31.64
32.85
34.07
35.29
36.50
</float_array>
<technique_common>
<accessor source="#First_rotation_euler_Z-input-array" count="31" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<!-- This sets the spin rate of the "Entire" ellipsoid -->
<source id="First_rotation_euler_Z-output">
<float_array id="First_rotation_euler_Z-output-array" count="31">
3.0
63.0
123.0
183.0
243.0
303.0
363.0
423.0
483.0
543.0
603.0
663.0
723.0
783.0
843.0
903.0
963.0
1023.0
1083.0
1143.0
1203.0
1263.0
1323.0
1383.0
1443.0
1503.0
1563.0
1623.0
1683.0
1743.0
1803.0
</float_array>
<technique_common>
<accessor source="#First_rotation_euler_Z-output-array" count="31" stride="1">
<param name="ANGLE" type="float"/>
</accessor>
</technique_common>
</source>
<!-- This sets the spin rate of the "MidPlane" Frame of reference -->
<source id="Frame_rotation_euler_Z-output">
<float_array id="Frame_rotation_euler_Z-output-array" count="31">
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
</float_array>
<technique_common>
<accessor source="#Frame_rotation_euler_Z-output-array" count="31" stride="1">
<param name="ANGLE" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="First_rotation_euler_Z-sampler">
<input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
<input semantic="OUTPUT" source="#First_rotation_euler_Z-output"/>
</sampler>
<sampler id="Frame_rotation_euler_Z-sampler">
<input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
<input semantic="OUTPUT" source="#Frame_rotation_euler_Z-output"/>
</sampler>
<channel source="#First_rotation_euler_Z-sampler" target="EntireEllipsoid/rotationZ.ANGLE"/>
<channel source="#Frame_rotation_euler_Z-sampler" target="Inertial/rotationZ.ANGLE"/>
</animation>
<!-- FLUID ELEMENT 1 -->
<animation id="FluidElement1_location">
<source id="Lagrange1_location_X-input">
<float_array id="Lagrange1_location_X-input-array" count=" 37">
0.0000
1.0014
2.0029
3.0043
4.0057
5.0071
6.0086
7.0100
8.0114
9.0129
10.0143
11.0157
12.0171
13.0186
14.0200
15.0214
16.0229
17.0243
18.0257
19.0271
20.0286
21.0300
22.0314
23.0329
24.0343
25.0357
26.0371
27.0386
28.0400
29.0414
30.0429
31.0443
32.0457
33.0472
34.0486
35.0500
36.0514
</float_array>
<technique_common>
<accessor source="#Lagrange1_location_X-input-array" count=" 37" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<source id="Lagrange1_location_X-output">
<float_array id="Lagrange1_location_X-output-array" count=" 37">
1.0000
0.9921
0.9686
0.9298
0.8763
0.8090
0.7290
0.6374
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</float_array>
<technique_common>
<accessor source="#Lagrange1_location_X-output-array" count=" 37" stride="1">
<param name="X" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="Lagrange1_location_X-sampler">
<input semantic="INPUT" source="#Lagrange1_location_X-input"/>
<input semantic="OUTPUT" source="#Lagrange1_location_X-output"/>
</sampler>
<source id="Lagrange1_location_Y-output">
<float_array id="Lagrange1_location_Y-output-array" count=" 37">
-0.0000
-0.0514
-0.1020
-0.1509
-0.1975
-0.2410
-0.2807
-0.3159
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0.1509
0.1975
0.2410
0.2807
0.3159
0.3462
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</float_array>
<technique_common>
<accessor source="#Lagrange1_location_Y-output-array" count=" 37" stride="1">
<param name="Y" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="Lagrange1_location_Y-sampler">
<input semantic="INPUT" source="#Lagrange1_location_X-input"/>
<input semantic="OUTPUT" source="#Lagrange1_location_Y-output"/>
</sampler>
<channel source="#Lagrange1_location_X-sampler" target="Lagrange01/location.X"/>
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange01/location.Y"/>
</animation>
<!-- CLOCK (clockstop = 36.5047)
One spin of ellipsoid (or frame) is 1.8252 EFE sqrt(pi * G * rho) units;
Want 1 EFE unit to take 4.0 seconds of TIME;
Hence, one spin of ellipsoid (360 degrees) is 7.3009 seconds of TIME;
and 5 ellipsoid spins is 36.5047 seconds of TIME.
Divide one spin (360) into 12 pieces
==> 30 degrees = 1 timestep = 4 x 0.1521 = 0.6084 seconds of TIME.
-->
<animation id="Cube_quaternion_Z">
<source id="Cube_quaternion_Z-input">
<float_array id="Cube_quaternion_Z-input-array" count=" 147">
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75
4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 7.75
8.00 8.25 8.50 8.75 9.00 9.25 9.50 9.75 10.00 10.25 10.50 10.75 11.00 11.25 11.50 11.75
12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75
16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75
20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25 31.50 31.75
32.00 32.25 32.50 32.75 33.00 33.25 33.50 33.75 34.00 34.25 34.50 34.75 35.00 35.25 35.50 35.75
36.00 36.25 36.50
</float_array>
<technique_common>
<accessor source="#Cube_quaternion_Z-input-array" count=" 147" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<source id="Cube_quaternion_Z-output">
<float_array id="Cube_quaternion_Z-output-array" count="2352">
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<!-- HOURHAND (clockstop = 36.5047) -->
<animation id="HourHand_euler_Z">
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16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75
20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25 31.50 31.75
32.00 32.25 32.50 32.75 33.00 33.25 33.50 33.75 34.00 34.25 34.50 34.75 35.00 35.25 35.50 35.75
36.00 36.25 36.50
</float_array>
<technique_common>
<accessor source="#HourHand_euler_Z-input-array" count=" 147" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<source id="HourHand_euler_Z-output">
<float_array id="HourHand_euler_Z-output-array" count=" 147">
270.0
268.125
266.25
264.375
262.5
260.625
258.75
256.875
255.0
253.125
251.25
249.375
247.5
245.625
243.75
241.875
240.0
238.125
236.25
234.375
232.5
230.625
228.75
226.875
225.0
223.125
221.25
219.375
217.5
215.625
213.75
211.875
210.0
208.125
206.25
204.375
202.5
200.625
198.75
196.875
195.0
193.125
191.25
189.375
187.5
185.625
183.75
181.875
180.0
178.125
176.25
174.375
172.5
170.625
168.75
166.875
165.0
163.125
161.25
159.375
157.5
155.625
153.75
151.875
150.0
148.125
146.25
144.375
142.5
140.625
138.75
136.875
135.0
133.125
131.25
129.375
127.5
125.625
123.75
121.875
120.0
118.125
116.25
114.375
112.5
110.625
108.75
106.875
105.0
103.125
101.25
99.375
97.5
95.625
93.75
91.875
90.0
88.125
86.25
84.375
82.5
80.625
78.75
76.875
75.0
73.125
71.25
69.375
67.5
65.625
63.75
61.875
60.0
58.125
56.25
54.375
52.5
50.625
48.75
46.875
45.0
43.125
41.25
39.375
37.5
35.625
33.75
31.875
30.0
28.125
26.25
24.375
22.5
20.625
18.75
16.875
15.0
13.125
11.25
9.375
7.5
5.625
3.75
1.875
0.0
-1.875
-3.75
</float_array>
<technique_common>
<accessor source="#HourHand_euler_Z-output-array" count=" 147" stride="1">
<param name="ANGLE" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="HourHand_euler_Z-sampler">
<input semantic="INPUT" source="#HourHand_euler_Z-input"/>
<input semantic="OUTPUT" source="#HourHand_euler_Z-output"/>
</sampler>
<channel source="#HourHand_euler_Z-sampler" target="HourHand/rotationZ.ANGLE"/>
</animation>
</library_animations>
<library_controllers/>
<library_visual_scenes>
<visual_scene id="ID1">
<node id="EntireEllipsoid" name="OculusRift_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 3.0</rotate>
<scale sid="scale">5.0 5.0 5.0</scale>
<node id="First" name="First_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<node id="Second" name="Second_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 180.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<node id="Third" name="Third_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 180.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<node id="Fourth" name="Fourth_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 180.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 180.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<!-- instance: Cylindrical Pointer -->
<node id="CylinderPointer" name="instance_cylinder">
<translate sid="location">-1.0 0.0 0.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 180</rotate>
<scale sid="scale">0.05 0.025 0.025</scale>
<instance_node url="#CylPointer" />
</node>
<!-- Begin LAGRANGE markers -->
<node id="Lagrange01" name="instance_Lagrange01">
<translate sid="location">1.0000 0.0000 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">0.075 0.075 0.075</scale>
<instance_node url="#Primary_MarkerID3" />
</node>
<node id="Marker01" name="instance_marker01">
<matrix>0.025 0.0 0.0 1.0000 0.0 0.025 0.0 -0.0000 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker02" name="instance_marker02">
<matrix>0.025 0.0 0.0 0.9921 0.0 0.025 0.0 -0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker03" name="instance_marker03">
<matrix>0.025 0.0 0.0 0.9686 0.0 0.025 0.0 -0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker04" name="instance_marker04">
<matrix>0.025 0.0 0.0 0.9298 0.0 0.025 0.0 -0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker05" name="instance_marker05">
<matrix>0.025 0.0 0.0 0.8763 0.0 0.025 0.0 -0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker06" name="instance_marker06">
<matrix>0.025 0.0 0.0 0.8090 0.0 0.025 0.0 -0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker07" name="instance_marker07">
<matrix>0.025 0.0 0.0 0.7290 0.0 0.025 0.0 -0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker08" name="instance_marker08">
<matrix>0.025 0.0 0.0 0.6374 0.0 0.025 0.0 -0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker09" name="instance_marker09">
<matrix>0.025 0.0 0.0 0.5358 0.0 0.025 0.0 -0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker10" name="instance_marker10">
<matrix>0.025 0.0 0.0 0.4258 0.0 0.025 0.0 -0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker11" name="instance_marker11">
<matrix>0.025 0.0 0.0 0.3090 0.0 0.025 0.0 -0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker12" name="instance_marker12">
<matrix>0.025 0.0 0.0 0.1874 0.0 0.025 0.0 -0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker13" name="instance_marker13">
<matrix>0.025 0.0 0.0 0.0628 0.0 0.025 0.0 -0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker14" name="instance_marker14">
<matrix>0.025 0.0 0.0 -0.0628 0.0 0.025 0.0 -0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker15" name="instance_marker15">
<matrix>0.025 0.0 0.0 -0.1874 0.0 0.025 0.0 -0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker16" name="instance_marker16">
<matrix>0.025 0.0 0.0 -0.3090 0.0 0.025 0.0 -0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker17" name="instance_marker17">
<matrix>0.025 0.0 0.0 -0.4258 0.0 0.025 0.0 -0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker18" name="instance_marker18">
<matrix>0.025 0.0 0.0 -0.5358 0.0 0.025 0.0 -0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker19" name="instance_marker19">
<matrix>0.025 0.0 0.0 -0.6374 0.0 0.025 0.0 -0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker20" name="instance_marker20">
<matrix>0.025 0.0 0.0 -0.7290 0.0 0.025 0.0 -0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker21" name="instance_marker21">
<matrix>0.025 0.0 0.0 -0.8090 0.0 0.025 0.0 -0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker22" name="instance_marker22">
<matrix>0.025 0.0 0.0 -0.8763 0.0 0.025 0.0 -0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker23" name="instance_marker23">
<matrix>0.025 0.0 0.0 -0.9298 0.0 0.025 0.0 -0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker24" name="instance_marker24">
<matrix>0.025 0.0 0.0 -0.9686 0.0 0.025 0.0 -0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker25" name="instance_marker25">
<matrix>0.025 0.0 0.0 -0.9921 0.0 0.025 0.0 -0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker26" name="instance_marker26">
<matrix>0.025 0.0 0.0 -1.0000 0.0 0.025 0.0 -0.0000 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<!-- Second Half -->
<node id="Marker28" name="instance_marker28">
<matrix>0.025 0.0 0.0 -0.9921 0.0 0.025 0.0 0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker29" name="instance_marker29">
<matrix>0.025 0.0 0.0 -0.9686 0.0 0.025 0.0 0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker30" name="instance_marker30">
<matrix>0.025 0.0 0.0 -0.9298 0.0 0.025 0.0 0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker31" name="instance_marker31">
<matrix>0.025 0.0 0.0 -0.8763 0.0 0.025 0.0 0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker32" name="instance_marker32">
<matrix>0.025 0.0 0.0 -0.8090 0.0 0.025 0.0 0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker33" name="instance_marker33">
<matrix>0.025 0.0 0.0 -0.7290 0.0 0.025 0.0 0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker34" name="instance_marker34">
<matrix>0.025 0.0 0.0 -0.6374 0.0 0.025 0.0 0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker35" name="instance_marker35">
<matrix>0.025 0.0 0.0 -0.5358 0.0 0.025 0.0 0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker36" name="instance_marker36">
<matrix>0.025 0.0 0.0 -0.4258 0.0 0.025 0.0 0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker37" name="instance_marker37">
<matrix>0.025 0.0 0.0 -0.3090 0.0 0.025 0.0 0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker38" name="instance_marker38">
<matrix>0.025 0.0 0.0 -0.1874 0.0 0.025 0.0 0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker39" name="instance_marker39">
<matrix>0.025 0.0 0.0 -0.0628 0.0 0.025 0.0 0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker40" name="instance_marker40">
<matrix>0.025 0.0 0.0 0.0628 0.0 0.025 0.0 0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker41" name="instance_marker41">
<matrix>0.025 0.0 0.0 0.1874 0.0 0.025 0.0 0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker42" name="instance_marker42">
<matrix>0.025 0.0 0.0 0.3090 0.0 0.025 0.0 0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker43" name="instance_marker43">
<matrix>0.025 0.0 0.0 0.4258 0.0 0.025 0.0 0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker44" name="instance_marker44">
<matrix>0.025 0.0 0.0 0.5358 0.0 0.025 0.0 0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker45" name="instance_marker45">
<matrix>0.025 0.0 0.0 0.6374 0.0 0.025 0.0 0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker46" name="instance_marker46">
<matrix>0.025 0.0 0.0 0.7290 0.0 0.025 0.0 0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker47" name="instance_marker47">
<matrix>0.025 0.0 0.0 0.8090 0.0 0.025 0.0 0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker48" name="instance_marker48">
<matrix>0.025 0.0 0.0 0.8763 0.0 0.025 0.0 0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker49" name="instance_marker49">
<matrix>0.025 0.0 0.0 0.9298 0.0 0.025 0.0 0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker50" name="instance_marker50">
<matrix>0.025 0.0 0.0 0.9686 0.0 0.025 0.0 0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker51" name="instance_marker51">
<matrix>0.025 0.0 0.0 0.9921 0.0 0.025 0.0 0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<!-- End LAGRANGE markers -->
</node> <!-- END EntireEllipsoid -->
<node id="Inertial" name="instance_inertial"> <!-- Start Inertial Grouping of Objects -->
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 3.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="Zup_Pointer" name="instance_zupPointer">
<translate>0.0 0.0 5.0</translate>
<rotate sid="rotationX">1 0 0 0.0</rotate>
<rotate sid="rotationY">0 1 0 0.0</rotate>
<rotate sid="rotationZ">0 0 1 0.0</rotate>
<scale sid="scale">0.125 0.5 1.5</scale>
<instance_node url="#ZupPointer" />
</node>
<!-- instance: MidPlane Frame (MidPlane flips with rotationX = 180 for clockwise spin)-->
<node id="MidPlane" name="instance_MidPlane">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.25 1.25 1.25</scale>
<instance_node url="#EqPlane" />
</node>
<!-- BEGIN LABELING HERE -->
<node name="Labels">
<translate>7.0 -2.0 5.0</translate>
<rotate sid="rotationX">1 0 0 0.0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 180</rotate>
<scale sid="scale">0.1 0.1 0.1</scale>
<!-- Equals sign #1 -->
<node name="Equals1">
<translate>0.0 15.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDd51" name="instance_51">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd52" name="instance_52">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd53" name="instance_53">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd55" name="instance_55">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd56" name="instance_56">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd57" name="instance_57">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Equals sign #2 -->
<node name="Equals2">
<translate>0.0 15.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDd51" name="instance_51">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd52" name="instance_52">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd53" name="instance_53">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd55" name="instance_55">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd56" name="instance_56">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd57" name="instance_57">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Division sign #1 -->
<node name="Divide1">
<translate>0.0 4.4 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 0.75 1.0</scale>
<node id="IDd21" name="instance_21">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd22" name="instance_22">
<matrix>0.25 0 0 0.0 0 -1 0 1.1 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd23" name="instance_23">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd24" name="instance_24">
<matrix>0.25 0 0 0.0 0 -1 0 2.2 0 0 -1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd25" name="instance_25">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd26" name="instance_26">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd27" name="instance_27">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
</node>
<!-- Division sign #2 -->
<node name="Divide2">
<translate>0.0 4.4 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 0.75 1.0</scale>
<node id="IDd21" name="instance_21">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd22" name="instance_22">
<matrix>0.25 0 0 0.0 0 -1 0 1.1 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd23" name="instance_23">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd24" name="instance_24">
<matrix>0.25 0 0 0.0 0 -1 0 2.2 0 0 -1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd25" name="instance_25">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd26" name="instance_26">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd27" name="instance_27">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
</node>
<!-- Letter "a" #1 -->
<node name="Letter_a1">
<translate>0.0 8.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDa01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa18" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa31" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "a" #2 -->
<node name="Letter_a2">
<translate>0.0 8.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDa01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa18" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa31" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "a" #2 -->
<node name="Letter_a2">
<translate>0.0 8.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDa01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa18" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa31" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "c" -->
<node name="Letter_c">
<translate>0.0 0.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="ID001" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID002" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID006" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID007" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID010" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID011" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID018" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID019" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID020" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID021" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "b" ... has 8 + (4 x 15) = 68 lines -->
<node name="Letter_b">
<translate>0.0 0.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb03" name="instance_3">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb12" name="instance_12">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- DECIMAL POINTS -->
<node id="IDD01" name="Decimal_1">
<matrix>0.25 0 0 0.0 0 1 0 25.0 0 0 1 1.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDD02" name="Decimal_2">
<matrix>0.25 0 0 0.0 0 1 0 25.0 0 0 1 -8.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<!-- Number "0" #1 ... has 8 + (4 x 18) = 80 lines -->
<node name="Number_0">
<translate>0.0 20.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb03" name="instance_3">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz19" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz11" name="instance_z11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Number "0" #2 ... has 8 + (4 x 18) = 80 lines -->
<node name="Number_0b">
<translate>0.0 20.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb03" name="instance_3">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz19" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz11" name="instance_z11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Number "1" ... has 8 + (4 x 8) = 40 lines -->
<!-- Number "2" #1 ... has 8 + (4 x 17) = 76 lines -->
<!-- Number "2" #2 ... has 8 + (4 x 17) = 76 lines -->
<!-- Number "3" ... has 8 + (4 x 18) = 80 lines -->
<!-- Number "4" ... has 8 + (4 x 13) = 60 lines -->
<!-- Number "5" ... has 8 + (4 x 17) = 76 lines -->
<!-- Number "6" ... has 8 + (4 x 18) = 80 lines -->
<!-- Number "7" ... has 8 + (4 x 14) = 64 lines -->
<!-- Number "8" ... has 8 + (4 x 22) = 96 lines -->
<!-- Number "9" ... has 8 + (4 x 15) = 68 lines -->
<!-- bovera_Digit1 is "4" -->
<node name="bovera_Digit1">
<translate>0.0 26.8 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "4" ... has 8 + (4 x 13) = 60 lines -->
<node id="IDe01" name="instance_e01">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe02" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe02" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDn09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDf12" name="instance_n12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDn12" name="instance_n12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- bovera_Digit2 is "1" -->
<node name="bovera_Digit2">
<translate>0.0 31.8 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "1" ... has 8 + (4 x 8) = 40 lines -->
<node id="ID101" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID102" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID103" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID104" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID105" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID106" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID107" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID109" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- covera_Digit1 is "3" -->
<node name="covera_Digit1">
<translate>0.0 26.8 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "3" ... has 8 + (4 x 18) = 80 lines -->
<node id="ID301" name="instance_e01">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID302" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID303" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID304" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID305" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID306" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID307" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID308" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID309" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID310" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID311" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID312" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID313" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID314" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID315" name="instance_e19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID316" name="instance_e20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID317" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID318" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- covera_Digit2 is "8" -->
<node name="covera_Digit2">
<translate>0.0 31.8 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "8" ... has 8 + (4 x 22) = 96 lines -->
<node id="IDe01" name="instance_e01">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe02" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe19" name="instance_e19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDe21" name="instance_e21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz19" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDe19" name="instance_e19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDe20" name="instance_e20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- covera_Digit3 is "5" -->
<node name="covera_Digit3">
<translate>0.0 37.1 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "5" ... has 8 + (4 x 17) = 76 lines -->
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDf06" name="instance_f6">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDf11" name="instance_f11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDf21" name="instance_f21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- END LABELING HERE -->
</node>
<!-- BEGIN CLOCK -->
<node id="EntireClock" name="instance_Clock">
<translate>7.0 0.0 5.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.00 1.00 1.00</scale>
<node id="firstclock" name="instance_1"> <!-- TWO -->
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.00 1.00 1.00</scale>
<instance_node url="#ID3" />
</node> <!-- /TWO -->
<node id="Jetman" name="instance_Arrow"> <!-- TWO -->
<matrix sid="transformation"> 0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000</matrix>
<instance_node url="#ArrowID3" />
</node> <!-- /TWO -->
<node id="HourHand" name="instance_Hour"> <!-- TWO -->
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1 270.0</rotate>
<scale sid="scale">0.75 0.75 0.75</scale>
<instance_node url="#HourID3" />
</node> <!-- /TWO -->
</node>
<!-- END CLOCK -->
</node> <!-- End Inertial Grouping of Objects -->
</visual_scene>
</library_visual_scenes>
<scene>
<instance_visual_scene url="#ID1" />
</scene>
</COLLADA>
|
Instructions for Viewing the Example Model on a Mac:
Instructions for Viewing the Example Model on a Windows 10 PC:
|
At TIME = 0.0 (see, again, Figure 1b), our purple ellipsoid is oriented such that its longest axis (of length, 2a) aligns with the X0-axis and such that the small red cubic "fluid marker" at the tip of the ellipsoid lies in the plus-X direction — initially at location (X0, Y0, Z0) = (+a, 0, 0). At the opposite end of the ellipsoid — initially at location (X0, Y0, Z0) = (-a, 0, 0) — we have attached a stubby black pointer; as the ellipsoid spins, this black pointer will remain affixed to the ellipsoid to aid in counting spin cycles, whereas the red fluid marker will not. The ellipsoid's shortest axis (length, 2c) aligns with the Z0-axis, with straight up being associated with the positive Z direction. The ellipsoid's intermediate axis (length, 2b) initially aligns with the lab's Y0-axis, with the positive direction being defined by the standard "righthand rule."
In addition to displaying an opaque purple Riemann ellipsoid, our COLLADA-defined 3D visual scene contains (see, again, Figure 1b):
- A square gray "frame" that lies in the laboratory frame's equatorial, Z0 = 0.0, plane, just outside of and "framing" the ellipsoid; and a small gray solid rectangle that hovers above the ellipsoid and is affixed to the plus-Z0 axis, also intended to provide 3D orientation and registration queues.
- A couple of lines of alpha-numeric characters that has been attached to an imaginary laboratory wall to label/quantify the geometric properties of this ellipsoid.
- A clock that has been hung on the same imaginary laboratory wall.
- A yellow-dotted ellipse (comprised of 50 individual small yellow markers) that lies in the equatorial plane and is attached to the ellipsoid, marking the trajectory that will be followed by the red cubic "fluid marker" during the animation sequence.
Animation
When the "play" button is clicked on the Preview app's control panel (again, reference Figure 1b), the COLLADA-directed scene-animation begins. Three different characteristic timescales are relevant:
- We use the motion of the hands on the wall-mounted clock to identify the natural oscillation frequency of the physical system, namely, <math>~\Omega_0 \equiv [\pi G \rho]^{1 / 2}</math>. More specifically, by declaration, one oscillation period of the red "minute" hand — that is to say, one wall-clock "hour" — is <math>~P_0 = 2\pi[\pi G \rho]^{-1 / 2} = [4\pi/(G \rho)]^{1 / 2}</math>. One full cycle of the wall-clock's black "hour" hand is therefore 12P0. For pedagogical purposes, in all of our COLLADA-driven animations we have equated P0 with a COLLADA TIME interval of 4.0, which means that during each animation, one wall-clock hour passes every (approximately) 4 seconds of real time.‡
- The purple ellipsoid spins in a prograde direction about its shortest axis — that is, about the Z0-axis — on a timescale set by the value of <math>~\Omega_\mathrm{EFE}</math>, which has already been normalized to Ω0. Specifically, as viewed from the inertial frame of reference, the ellipsoid will complete one full spin in a time, <math>~P_\mathrm{spin} = |\Omega_\mathrm{EFE}|^{-1} = [0.5479]^{-1} = 1.825</math> wall-clock hours, which is approximately 7.3 seconds of real time.
- As viewed from a frame of reference that is spinning with the ellipsoid, each Lagrangian fluid element inside as well as on the surface of the ellipsoid moves in a retro-grade direction along an elliptical trajectory that has the same ellipticity as does the equatorial surface of the 3D ellipsoid. Each and every Lagrangian fluid element completes one full elliptical orbit in a time, <math>~P_\mathrm{Lagrange} = \lambda_\mathrm{EFE}^{-1} = [0.0799]^{-1} = 12.52</math> wall-clock hours, which is about 50 seconds of real time.
In the COLLADA-based code (Inertial17.dae) that has been provided above in the scrollable box, we have instructed the animation sequence to follow the system's evolution through five complete spins of the purple ellipsoid. (Unless the pause button is clicked, the animation will actually loop repeatedly, but the time on the wall-mounted clock will reset to 0h0m after every fifth spin period.) In practice, this animation sequence lasts (5 × 1.825) × 4 = 36.5 seconds of real time.
Figure 2 displays a pair of still-frame images of our example (purple) ellipsoidal configuration after the ellipsoid has completed precisely five (counter-clockwise) spin cycles. (The snapshots have been taken at the same point in time, but from two different camera viewing angles.) In the left-hand image (Figure 2a), the time on the clock appears to be about 9h8m. This means that as the ellipsoid has completed five spin cycles, the "minute" hand of the clock has completed approximately [9 + 8/60] ≈ 9.13 cycles. Dividing this number by 5 gives a value of <math>~P_\mathrm{spin} \approx 1.827</math>, which is indeed the spin period we identified earlier. This illustrates that the proper physical timescales governing oscillations of the wall-mounted clock and of the spinning ellipsoid have been implemented in a quantitatively accurate manner within the COLLADA code.
| Figure 2a | Figure 2b |
|---|---|
|
|
|
In Figure 1b, above, we have used a small red cube to mark the Lagrangian fluid element that is initially (TIME = 0.0) located at the end of the longest axis of the ellipsoid (in the +X direction). In Figure 2b we can see where this fluid element is located after the ellipsoid has completed five complete spins. After moving in a retrograde (clockwise) direction along its assigned elliptical trajectory while the ellipsoid completed five full spins, we see that the red-tagged Lagrangian fluid element has completed a little less than 3/4 of one full orbit; let's call it 73% of one orbit. We therefore infer from the COLLADA-driven animation that <math>~0.73 P_\mathrm{Lagrange}\approx~5 P_\mathrm{spin}</math>, that is, <math>~P_\mathrm{Lagrange}\approx 6.849 P_\mathrm{spin}</math>. This is indeed a proper reflection of the physical properties of our chosen example Riemann S-type ellipsoid, as its mathematically determined equilibrium frequency ratio is, <math>~|\Omega_\mathrm{EFE}|/|\lambda_\mathrm{EFE}| = 6.8582</math>. This, too, illustrates that the proper physical timescales governing oscillations of our chosen example Riemann ellipsoid have been implemented in a quantitatively accurate manner within the COLLADA code.
Rotating Reference Frame
|
The following scrollable box titled, MultiLagrange18.dae, contains another <xml>-formatted COLLADA code. It is identical in most respects to the COLLADA code named Inertial17.dae that has been discussed above in considerable detail. But there are two key differences:
- As Figure 3 illustrates, while the surface of the ellipsoid is still colored purple, it has been made partially transparent to reveal the location of three — rather than only one — Lagrangian fluid elements. All three are initially positioned along the plus-X0 axis, but two are located inside, rather than on the surface of, the ellipsoid.
- This new, "MultiLagrange" COLLADA animation presents the system's evolution as viewed from a frame of reference that is spinning with the frequency of the ellipsoid, ΩEFE. As before, the COLLADA-driven animation is carried through five full ellipsoid spins, but from the perspective of this new rotating frame, the ellipsoid remains stationary and it is the components of the "laboratory" that actually spin; and they spin clockwise rather than counter-clockwise.
From the point of view of this rotating reference frame, it is much easier to watch and diagnose the behavior of the fluid motion interior to the surface of the ellipsoid. Note, in particular, the relative speed and alignment of the three fluid elements at different points along their coordinated orbits. Because Riemann S-type ellipsoids are uniform-density configurations and they are composed of an incompressible fluid, at all points in time and in space (within the volume of the ellipsoid) the divergence of the velocity must be zero.
MultiLagrange18.dae … a COLLADA code containing 7994 lines of <xml>-formatted ASCII text
<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
<COLLADA xmlns="http://www.collada.org/2005/11/COLLADASchema" version="1.4.1">
<asset>
<contributor>
<author>jet53man</author>
<authoring_tool>Raw XML</authoring_tool>
</contributor>
<created>2020-04-28</created>
<modified>2020-05-10</modified>
<unit meter="0.0254" name="inch" />
<up_axis>Z_UP</up_axis>
<!--
This file originally was named FullLast45X.dae ...
here its assigned name is RiemannBuild05.dae (etc.)
we are inserting various objects, drawn from b41c385_DI.dae
<node> <geometry> <material> <effect>
*** firstclock: ID3 Clock_OuterEdge ID6 ID5
*** : Clock_InnerEdge InnerID6 InnerID5
*** Jetman : ArrowID3 Clock_ArrowEdge ArrowID6 ArrowID5
*** HourHand : HourID3 Clock_HourEdge HourID6 HourID5
-->
</asset>
<library_effects>
<effect id="DiffusePurple_00">
<profile_COMMON>
<technique sid="COMMON">
<phong>
<diffuse>
<color>0.5 0.0 0.99 1.0</color>
</diffuse>
<transparency>
<float sid="transparency">0.6</float>
</transparency>
</phong>
</technique>
</profile_COMMON>
</effect>
<effect id="DiffuseRed_EFE">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>1.0 0.0 0.0 1.0</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<!-- effect: MidPlane Frame -->
<effect id="MidPlaneID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0.0 0.0 0.6 0.5</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<!-- effect: Cylindrical Pointer -->
<effect id="CylID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0.0 0.0 0.0 1.0</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<effect id="MarkersID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>1 1 0 1</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<!-- effect: Letters -->
<effect id="LettersID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0 0 0 1</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<effect id="DiagonalID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0 0 1 1</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<effect id="Black_DiagonalID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0 0 0 1</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<!-- effect: Four Clock Components -->
<effect id="ID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0 0 1 1</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<effect id="InnerID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0.4 0.0 0.7 0.4</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<effect id="ArrowID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>1.0 0.0 0.0 1.0</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
<effect id="HourID5">
<profile_COMMON>
<technique sid="COMMON">
<lambert>
<diffuse>
<color>0.0 0.0 0.0 1.0</color>
</diffuse>
</lambert>
</technique>
</profile_COMMON>
</effect>
</library_effects>
<library_materials>
<!-- material: Four Clock Components -->
<material id="ID6" name="material">
<instance_effect url="#ID5" />
</material>
<material id="InnerID6" name="Inner_material">
<instance_effect url="#InnerID5" />
</material>
<material id="ArrowID6" name="Arrow_material">
<instance_effect url="#ArrowID5" />
</material>
<material id="HourID6" name="Hour_material">
<instance_effect url="#HourID5" />
</material>
<material id="ID6_EFE" name="material">
<instance_effect url="#DiffusePurple_00" />
</material>
<!-- material: MidPlane Frame -->
<material id="MidPlaneID6" name="MidPlane_material">
<instance_effect url="#MidPlaneID5" />
</material>
<!-- material: Cylindrical Pointer -->
<material id="CylID6" name="Cyl_material">
<instance_effect url="#CylID5" />
</material>
<material id="ZupID6" name="Zup_material">
<instance_effect url="#MidPlaneID5" />
</material>
<material id="MarkersID6" name="markers_material">
<instance_effect url="#MarkersID5" />
</material>
<material id="Primary_MarkerID6" name="primary_marker_material">
<instance_effect url="#DiffuseRed_EFE" />
</material>
<!-- material: Letters -->
<material id="LettersID6" name="material">
<instance_effect url="#LettersID5" />
</material>
<material id="DiagonalID6" name="material">
<instance_effect url="#DiagonalID5" />
</material>
<material id="Black_DiagonalID6" name="material">
<instance_effect url="#Black_DiagonalID5" />
</material>
</library_materials>
<library_nodes>
<!-- node: Three clock components -->
<node id="ID3" name="cube_component">
<instance_geometry url="#Clock_OuterEdge">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#ID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
<instance_geometry url="#Clock_InnerEdge">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#InnerID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<node id="ArrowID3" name="cube_component">
<instance_geometry url="#Clock_ArrowEdge">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#ArrowID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<node id="HourID3" name="hour_hand">
<instance_geometry url="#Clock_HourEdge">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#HourID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<node id="ID3_EFE" name="cube_componentEFE">
<instance_geometry url="#EllipsoidOctant">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#ID6_EFE">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
<instance_geometry url="#ReflectOctant">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#ID6_EFE">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<!-- node: MidPlane Frame -->
<node id="EqPlane" name="equatorial_plane">
<instance_geometry url="#EquatorialPlane">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#MidPlaneID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<!-- node: Cylindrical Pointer -->
<node id="CylPointer" name="cylindrical_component">
<instance_geometry url="#Cylinder">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#CylID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<node id="ZupPointer" name="Zup_component">
<instance_geometry url="#CubeID4">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#ZupID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<node id="MarkersID3" name="Lagrange_markers">
<instance_geometry url="#CubeID4">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#MarkersID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
</bind_material>
</instance_geometry>
</node>
<node id="Primary_MarkerID3" name="Primary_marker">
<instance_geometry url="#CubeID4">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#Primary_MarkerID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
</instance_material>
</technique_common>
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</node>
<!-- node: Letters -->
<node id="LettersID3" name="cube_component">
<instance_geometry url="#CubeID4">
<bind_material>
<technique_common>
<instance_material symbol="Material2" target="#LettersID6">
<bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
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<node id="DiagonalID3" name="diagonal_component">
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<bind_material>
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<instance_material symbol="Material2" target="#DiagonalID6">
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<bind_material>
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<instance_material symbol="Material2" target="#Black_DiagonalID6">
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<!-- geometry: Four Clock Components -->
<geometry id="Clock_OuterEdge">
<mesh>
<!--
**********************************************
*
* Insert first portion of clock's structure
*
**********************************************
-->
<source id="Clock_Positions">
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<!--
**********************************************
*
* Insert second portion of clock's structure
*
**********************************************
-->
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="Clock_InnerVertices">
<input semantic="POSITION" source="#Clock_InnerPositions" />
</vertices>
<polylist count="24" material="Material2">
<input semantic="VERTEX" source="#Clock_InnerVertices" offset="0" />
<input semantic="NORMAL" source="#Clock_InnerNormals" offset="1"/>
<vcount>4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3</vcount>
<p> 16 6 17 6 33 6 34 6 17 7 18 7 32 7 33 7 18 8 19 8 31 8 32 8 19 9 20 9 30 9 31 9 20 10 21 10 29 10 30 10 21 11 22 11 28 11 29 11 22 12 23 12 39 12 28 12 23 13 24 13 38 13 39 13 24 14 25 14 37 14 38 14 25 15 26 15 36 15 37 15 26 16 27 16 35 16 36 16 27 17 16 17 34 17 35 17 28 5 29 5 40 5 29 5 30 5 40 5 30 5 31 5 40 5 31 5 32 5 40 5 32 5 33 5 40 5 33 5 34 5 40 5 34 5 35 5 40 5 35 5 36 5 40 5 36 5 37 5 40 5 37 5 38 5 40 5 38 5 39 5 40 5 39 5 28 5 40 5 </p>
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</mesh>
</geometry>
<geometry id="Clock_ArrowEdge">
<mesh>
<!--
**********************************************
*
* Insert arrow portion of clock's structure
*
**********************************************
-->
<source id="Clock_ArrowPositions">
<float_array id="ArrowCoordinates01" count="30"> 0.0 0.85 0.25 0.1 0.0 0.25 0.0 -0.2 0.25 -0.1 0.0 0.25 0.0 0.85 0.05 0.1 0.0 0.05 0.0 -0.2 0.05 -0.1 0.0 0.05 0.0 0.0 0.25 0.0 0.0 0.05 </float_array>
<technique_common>
<accessor source="#ArrowCoordinates01" count="10" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="Clock_ArrowNormals">
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<technique_common>
<accessor source="#ArrowNormals01" count="6" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
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</technique_common>
</source>
<vertices id="Clock_ArrowVertices">
<input semantic="POSITION" source="#Clock_ArrowPositions" />
</vertices>
<polylist count="12" material="Material2">
<input semantic="VERTEX" source="#Clock_ArrowVertices" offset="0" />
<input semantic="NORMAL" source="#Clock_ArrowNormals" offset="1"/>
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</polylist>
</mesh>
</geometry>
<geometry id="Clock_HourEdge">
<mesh>
<!--
**********************************************
*
* Insert hour_hand portion of clock's structure
*
**********************************************
-->
<source id="Clock_HourPositions">
<float_array id="HourCoordinates01" count="30"> 0.0 0.85 0.25 0.1 0.0 0.25 0.0 -0.2 0.25 -0.1 0.0 0.25 0.0 0.85 0.05 0.1 0.0 0.05 0.0 -0.2 0.05 -0.1 0.0 0.05 0.0 0.0 0.25 0.0 0.0 0.05 </float_array>
<technique_common>
<accessor source="#HourCoordinates01" count="10" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="Clock_HourNormals">
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0 0 -1
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<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
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<vertices id="Clock_HourVertices">
<input semantic="POSITION" source="#Clock_HourPositions" />
</vertices>
<polylist count="12" material="Material2">
<input semantic="VERTEX" source="#Clock_HourVertices" offset="0" />
<input semantic="NORMAL" source="#Clock_HourNormals" offset="1"/>
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</polylist>
</mesh>
</geometry>
<!-- geometry: Letters -->
<geometry id="CubeID4">
<mesh>
<source id="CubeID7_Positions">
<float_array id="CoordinatesID10" count="24">
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0.5 -0.5 -0.5
0.5 -0.5 0.5
0.5 0.5 -0.5
0.5 0.5 0.5
</float_array>
<technique_common>
<accessor source="#CoordinatesID10" count="8" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="CubeID8_Normals">
<float_array id="NormalsID11" count="18">
0 0 -1
0 0 1
0 -1 0
0 1 0
-1 0 0
1 0 0
</float_array>
<technique_common>
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<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="CubeID9_Vertices">
<input semantic="POSITION" source="#CubeID7_Positions" />
</vertices>
<polylist count="12" material="Material2">
<input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" />
<input semantic="NORMAL" source="#CubeID8_Normals" offset="1" />
<vcount>3 3 3 3 3 3 3 3 3 3 3 3</vcount>
<p>
0 0 2 0 6 0 0 0 6 0 4 0
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0 4 1 4 3 4 0 4 3 4 2 4
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</p>
</polylist>
</mesh>
</geometry>
<geometry id="DiagonalID4">
<mesh>
<source id="DiagonalID7_Positions">
<float_array id="Diag_CoordinatesID10" count="24">
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-0.5 -0.5 0.5
-0.5 0.5 -0.5
-0.5 0.5 0.5
0.5 -0.5 -0.5
0.5 -0.5 0.5
0.5 0.5 -0.5
0.5 0.5 0.5
</float_array>
<technique_common>
<accessor source="#Diag_CoordinatesID10" count="8" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="DiagonalID8_Normals">
<float_array id="Diagonal_NormalsID11" count="21">
0 0 -1
0 0 1
0 -1 0
0 1 0
-1 0 0
1 0 0
0 -0.707 0.707
</float_array>
<technique_common>
<accessor source="#Diagonal_NormalsID11" count="7" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="DiagonalID9_Vertices">
<input semantic="POSITION" source="#DiagonalID7_Positions" />
</vertices>
<polylist count="8" material="Material2">
<input semantic="VERTEX" source="#DiagonalID9_Vertices" offset="0" />
<input semantic="NORMAL" source="#DiagonalID8_Normals" offset="1" />
<vcount>3 3 3 3 3 3 3 3</vcount>
<p>
0 0 2 0 6 0 0 0 6 0 4 0
2 3 3 3 7 3 2 3 7 3 6 3
0 4 3 4 2 4 4 5 6 5 7 5
0 6 7 6 3 6 0 6 4 6 7 6
</p>
</polylist>
</mesh>
</geometry>
<!-- geometry: Cubes for Lagrangian Markers -->
<geometry id="CubeID4">
<mesh>
<source id="CubeID7_Positions">
<float_array id="CoordinatesID10" count="24">
-0.5 -0.5 -0.5
-0.5 -0.5 0.5
-0.5 0.5 -0.5
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0.5 -0.5 -0.5
0.5 -0.5 0.5
0.5 0.5 -0.5
0.5 0.5 0.5
</float_array>
<technique_common>
<accessor source="#CoordinatesID10" count="8" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="CubeID8_Normals">
<float_array id="NormalsID11" count="18">
0 0 -1
0 0 1
0 -1 0
0 1 0
-1 0 0
1 0 0
</float_array>
<technique_common>
<accessor source="#NormalsID11" count="6" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="CubeID9_Vertices">
<input semantic="POSITION" source="#CubeID7_Positions" />
</vertices>
<polylist count="12" material="Material2">
<input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" />
<input semantic="NORMAL" source="#CubeID8_Normals" offset="1" />
<vcount>3 3 3 3 3 3 3 3 3 3 3 3</vcount>
<p>
0 0 2 0 6 0 0 0 6 0 4 0
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0 2 4 2 5 2 0 2 5 2 1 2
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0 4 1 4 3 4 0 4 3 4 2 4
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</p>
</polylist>
</mesh>
</geometry>
<!-- geometry: Cylindrical Pointer -->
<geometry id="Cylinder">
<mesh>
<source id="Cyl_Positions">
<float_array id="CylCoords01" count="54">
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-1.0 0.3827 0.9239
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1.0 -0.9239 0.3827
1.0 -0.3827 0.9239
1.0 0.3827 0.9239
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1.0 -0.3827 -0.9239
1.0 -0.9239 -0.3827
1.5 0.0000 0.0000
</float_array>
<technique_common>
<accessor source="#CylCoords01" count="18" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="Cyl_Normals">
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1.0 0.0 0.0
-1.0 0.0 0.0
0.0 1.0 0.0
0.0 -1.0 0.0
0.0 0.0 1.0
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0.0 0.7071 0.7071
0.0 0.7071 -0.7071
0.0 -0.7071 0.7071
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0.8795 -0.4760 0.0000
</float_array>
<technique_common>
<accessor source="#CylNormals01" count="18" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="Cyl_Vertices">
<input semantic="POSITION" source="#Cyl_Positions" />
</vertices>
<polylist count="32" material="Material2">
<input semantic="VERTEX" source="#Cyl_Vertices" offset="0" />
<input semantic="NORMAL" source="#Cyl_Normals" offset="1" />
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<p>
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2 1 3 1 8 1
3 1 4 1 8 1
4 1 5 1 8 1
5 1 6 1 8 1
6 1 7 1 8 1
7 1 0 1 8 1
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11 11 10 11 17 11
12 12 11 12 17 12
13 13 12 13 17 13
14 14 13 14 17 14
15 15 14 15 17 15
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7 3 16 3 0 3
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</p>
</polylist>
</mesh>
</geometry>
<!--
**********************************************
*
* Insert Geometry of Ellipsoid Octant
*
**********************************************
-->
<geometry id="EllipsoidOctant">
<mesh>
<source id="Ellipsoid_Positions">
<float_array id="Ellipsoid_Coordinates" count=" 1563">
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</p>
</polylist>
</mesh>
</geometry>
<!-- EquatorialPlane (begin) -->
<geometry id="EquatorialPlane">
<mesh>
<source id="EquatorialPlane_Positions">
<float_array id="EquatorialPlane_Coordinates" count="48">
-5.5000 -5.5000 0.2000
5.5000 -5.5000 0.2000
5.5000 5.5000 0.2000
-5.5000 5.5000 0.2000
-5.7500 -5.7500 0.2000
5.7500 -5.7500 0.2000
5.7500 5.7500 0.2000
-5.7500 5.7500 0.2000
-5.5000 -5.5000 -0.2000
5.5000 -5.5000 -0.2000
5.5000 5.5000 -0.2000
-5.5000 5.5000 -0.2000
-5.7500 -5.7500 -0.2000
5.7500 -5.7500 -0.2000
5.7500 5.7500 -0.2000
-5.7500 5.7500 -0.2000
</float_array>
<technique_common>
<accessor source="#EquatorialPlane_Coordinates" count=" 16" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<source id="EquatorialPlane_Normals">
<float_array id="EquatorialPlane_Normals01" count="18">
0.0000 0.0000 1.0000
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0.0000 -1.0000 0.0000
0.0000 1.0000 0.0000
-1.0000 0.0000 0.0000
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</float_array>
<technique_common>
<accessor source="#EquatorialPlane_Normals01" count="6" stride="3">
<param name="X" type="float" />
<param name="Y" type="float" />
<param name="Z" type="float" />
</accessor>
</technique_common>
</source>
<vertices id="EquatorialPlane_Vertices">
<input semantic="POSITION" source="#EquatorialPlane_Positions" />
</vertices>
<polylist count=" 12" material="Material2">
<input semantic="VERTEX" source="#EquatorialPlane_Vertices" offset="0" />
<input semantic="NORMAL" source="#EquatorialPlane_Normals" offset="1" />
<vcount>
4 4 4 4
4 4 4 4
4 4 4 4
</vcount>
<p>
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</p>
</polylist>
</mesh>
</geometry>
<!-- EquatorialPlane (end) -->
</library_geometries>
<library_animations>
<animation id="First_rotation_euler_Z">
<!-- for EFE/Ou model b41c385, clockstop = 36.5047 and anglestop = 1800.0 -->
<!-- this means that one 360 degree turn of the ellipsoid takes 7.3009 clock units -->
<source id="First_rotation_euler_Z-input">
<float_array id="First_rotation_euler_Z-input-array" count="31">
0.00
1.22
2.43
3.65
4.87
6.08
7.30
8.52
9.73
10.95
12.17
13.39
14.60
15.82
17.04
18.25
19.47
20.69
21.90
23.12
24.34
25.55
26.77
27.99
29.20
30.42
31.64
32.85
34.07
35.29
36.50
</float_array>
<technique_common>
<accessor source="#First_rotation_euler_Z-input-array" count="31" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<!-- This sets the spin rate of the "Entire" ellipsoid -->
<source id="First_rotation_euler_Z-output">
<float_array id="First_rotation_euler_Z-output-array" count="31">
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
</float_array>
<technique_common>
<accessor source="#First_rotation_euler_Z-output-array" count="31" stride="1">
<param name="ANGLE" type="float"/>
</accessor>
</technique_common>
</source>
<!-- This sets the spin rate of the "MidPlane" Frame of reference -->
<source id="Frame_rotation_euler_Z-output">
<float_array id="Frame_rotation_euler_Z-output-array" count="31">
1803.0
1743.0
1683.0
1623.0
1563.0
1503.0
1443.0
1383.0
1323.0
1263.0
1203.0
1143.0
1083.0
1023.0
963.0
903.0
843.0
783.0
723.0
663.0
603.0
543.0
483.0
423.0
363.0
303.0
243.0
183.0
123.0
63.0
3.0
</float_array>
<technique_common>
<accessor source="#Frame_rotation_euler_Z-output-array" count="31" stride="1">
<param name="ANGLE" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="First_rotation_euler_Z-sampler">
<input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
<input semantic="OUTPUT" source="#First_rotation_euler_Z-output"/>
</sampler>
<sampler id="Frame_rotation_euler_Z-sampler">
<input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
<input semantic="OUTPUT" source="#Frame_rotation_euler_Z-output"/>
</sampler>
<channel source="#First_rotation_euler_Z-sampler" target="EntireEllipsoid/rotationZ.ANGLE"/>
<channel source="#Frame_rotation_euler_Z-sampler" target="Inertial/rotationZ.ANGLE"/>
</animation>
<!-- FLUID ELEMENT 1 -->
<animation id="FluidElement1_location">
<source id="Lagrange1_location_X-input">
<float_array id="Lagrange1_location_X-input-array" count=" 37">
0.0000
1.0014
2.0029
3.0043
4.0057
5.0071
6.0086
7.0100
8.0114
9.0129
10.0143
11.0157
12.0171
13.0186
14.0200
15.0214
16.0229
17.0243
18.0257
19.0271
20.0286
21.0300
22.0314
23.0329
24.0343
25.0357
26.0371
27.0386
28.0400
29.0414
30.0429
31.0443
32.0457
33.0472
34.0486
35.0500
36.0514
</float_array>
<technique_common>
<accessor source="#Lagrange1_location_X-input-array" count=" 37" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<source id="Lagrange1_location_X-output">
<float_array id="Lagrange1_location_X-output-array" count=" 37">
1.0000
0.9921
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</float_array>
<technique_common>
<accessor source="#Lagrange1_location_X-output-array" count=" 37" stride="1">
<param name="X" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="Lagrange1_location_X-sampler">
<input semantic="INPUT" source="#Lagrange1_location_X-input"/>
<input semantic="OUTPUT" source="#Lagrange1_location_X-output"/>
</sampler>
<source id="Lagrange1_location_Y-output">
<float_array id="Lagrange1_location_Y-output-array" count=" 37">
-0.0000
-0.0514
-0.1020
-0.1509
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</float_array>
<technique_common>
<accessor source="#Lagrange1_location_Y-output-array" count=" 37" stride="1">
<param name="Y" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="Lagrange1_location_Y-sampler">
<input semantic="INPUT" source="#Lagrange1_location_X-input"/>
<input semantic="OUTPUT" source="#Lagrange1_location_Y-output"/>
</sampler>
<channel source="#Lagrange1_location_X-sampler" target="Lagrange01/location.X"/>
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange01/location.Y"/>
<channel source="#Lagrange1_location_X-sampler" target="Lagrange02/location.X"/>
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange02/location.Y"/>
<channel source="#Lagrange1_location_X-sampler" target="Lagrange03/location.X"/>
<channel source="#Lagrange1_location_Y-sampler" target="Lagrange03/location.Y"/>
</animation>
<!-- CLOCK (clockstop = 36.5047)
One spin of ellipsoid (or frame) is 1.8252 EFE sqrt(pi * G * rho) units;
Want 1 EFE unit to take 4.0 seconds of TIME;
Hence, one spin of ellipsoid (360 degrees) is 7.3009 seconds of TIME;
and 5 ellipsoid spins is 36.5047 seconds of TIME.
Divide one spin (360) into 12 pieces
==> 30 degrees = 1 timestep = 4 x 0.1521 = 0.6084 seconds of TIME.
-->
<animation id="Cube_quaternion_Z">
<source id="Cube_quaternion_Z-input">
<float_array id="Cube_quaternion_Z-input-array" count=" 147">
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75
4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 7.75
8.00 8.25 8.50 8.75 9.00 9.25 9.50 9.75 10.00 10.25 10.50 10.75 11.00 11.25 11.50 11.75
12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75
16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75
20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25 31.50 31.75
32.00 32.25 32.50 32.75 33.00 33.25 33.50 33.75 34.00 34.25 34.50 34.75 35.00 35.25 35.50 35.75
36.00 36.25 36.50
</float_array>
<technique_common>
<accessor source="#Cube_quaternion_Z-input-array" count=" 147" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<source id="Cube_quaternion_Z-output">
<float_array id="Cube_quaternion_Z-output-array" count="2352">
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<!-- HOURHAND (clockstop = 36.5047) -->
<animation id="HourHand_euler_Z">
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20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25 31.50 31.75
32.00 32.25 32.50 32.75 33.00 33.25 33.50 33.75 34.00 34.25 34.50 34.75 35.00 35.25 35.50 35.75
36.00 36.25 36.50
</float_array>
<technique_common>
<accessor source="#HourHand_euler_Z-input-array" count=" 147" stride="1">
<param name="TIME" type="float"/>
</accessor>
</technique_common>
</source>
<source id="HourHand_euler_Z-output">
<float_array id="HourHand_euler_Z-output-array" count=" 147">
270.0
268.125
266.25
264.375
262.5
260.625
258.75
256.875
255.0
253.125
251.25
249.375
247.5
245.625
243.75
241.875
240.0
238.125
236.25
234.375
232.5
230.625
228.75
226.875
225.0
223.125
221.25
219.375
217.5
215.625
213.75
211.875
210.0
208.125
206.25
204.375
202.5
200.625
198.75
196.875
195.0
193.125
191.25
189.375
187.5
185.625
183.75
181.875
180.0
178.125
176.25
174.375
172.5
170.625
168.75
166.875
165.0
163.125
161.25
159.375
157.5
155.625
153.75
151.875
150.0
148.125
146.25
144.375
142.5
140.625
138.75
136.875
135.0
133.125
131.25
129.375
127.5
125.625
123.75
121.875
120.0
118.125
116.25
114.375
112.5
110.625
108.75
106.875
105.0
103.125
101.25
99.375
97.5
95.625
93.75
91.875
90.0
88.125
86.25
84.375
82.5
80.625
78.75
76.875
75.0
73.125
71.25
69.375
67.5
65.625
63.75
61.875
60.0
58.125
56.25
54.375
52.5
50.625
48.75
46.875
45.0
43.125
41.25
39.375
37.5
35.625
33.75
31.875
30.0
28.125
26.25
24.375
22.5
20.625
18.75
16.875
15.0
13.125
11.25
9.375
7.5
5.625
3.75
1.875
0.0
-1.875
-3.75
</float_array>
<technique_common>
<accessor source="#HourHand_euler_Z-output-array" count=" 147" stride="1">
<param name="ANGLE" type="float"/>
</accessor>
</technique_common>
</source>
<sampler id="HourHand_euler_Z-sampler">
<input semantic="INPUT" source="#HourHand_euler_Z-input"/>
<input semantic="OUTPUT" source="#HourHand_euler_Z-output"/>
</sampler>
<channel source="#HourHand_euler_Z-sampler" target="HourHand/rotationZ.ANGLE"/>
</animation>
</library_animations>
<library_controllers/>
<library_visual_scenes>
<visual_scene id="ID1">
<node id="EntireEllipsoid" name="OculusRift_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 5.0</rotate>
<scale sid="scale">5.0 5.0 5.0</scale>
<node id="First" name="First_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<node id="Second" name="Second_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 180.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<node id="Third" name="Third_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 180.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<node id="Fourth" name="Fourth_instance_EFE">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 180.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 180.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<instance_node url="#ID3_EFE" />
</node>
<!-- instance: Cylindrical Pointer -->
<node id="CylinderPointer" name="instance_cylinder">
<translate sid="location">-1.0 0.0 0.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 180</rotate>
<scale sid="scale">0.05 0.025 0.025</scale>
<instance_node url="#CylPointer" />
</node>
<!-- Begin LAGRANGE markers -->
<node id="Lagrange01" name="instance_Lagrange01">
<translate sid="location">1.0000 0.0000 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">0.06 0.06 0.06</scale>
<instance_node url="#Primary_MarkerID3" />
</node>
<node id="Shrink02" name="instance_Shrink02">
<scale sid="scale">0.8 0.8 0.8</scale>
<node id="Lagrange02" name="instance_Lagrange02">
<translate sid="location">1.0000 0.0000 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">0.075 0.075 0.075</scale>
<instance_node url="#Primary_MarkerID3" />
</node>
</node>
<node id="Shrink03" name="instance_Shrink03">
<scale sid="scale">0.6 0.6 0.6</scale>
<node id="Lagrange03" name="instance_Lagrange03">
<translate sid="location">1.0000 0.0000 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">0.1 0.1 0.1</scale>
<instance_node url="#Primary_MarkerID3" />
</node>
</node>
<node id="Marker01" name="instance_marker01">
<matrix>0.025 0.0 0.0 1.0000 0.0 0.025 0.0 -0.0000 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker02" name="instance_marker02">
<matrix>0.025 0.0 0.0 0.9921 0.0 0.025 0.0 -0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker03" name="instance_marker03">
<matrix>0.025 0.0 0.0 0.9686 0.0 0.025 0.0 -0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker04" name="instance_marker04">
<matrix>0.025 0.0 0.0 0.9298 0.0 0.025 0.0 -0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker05" name="instance_marker05">
<matrix>0.025 0.0 0.0 0.8763 0.0 0.025 0.0 -0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker06" name="instance_marker06">
<matrix>0.025 0.0 0.0 0.8090 0.0 0.025 0.0 -0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker07" name="instance_marker07">
<matrix>0.025 0.0 0.0 0.7290 0.0 0.025 0.0 -0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker08" name="instance_marker08">
<matrix>0.025 0.0 0.0 0.6374 0.0 0.025 0.0 -0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker09" name="instance_marker09">
<matrix>0.025 0.0 0.0 0.5358 0.0 0.025 0.0 -0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker10" name="instance_marker10">
<matrix>0.025 0.0 0.0 0.4258 0.0 0.025 0.0 -0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker11" name="instance_marker11">
<matrix>0.025 0.0 0.0 0.3090 0.0 0.025 0.0 -0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker12" name="instance_marker12">
<matrix>0.025 0.0 0.0 0.1874 0.0 0.025 0.0 -0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker13" name="instance_marker13">
<matrix>0.025 0.0 0.0 0.0628 0.0 0.025 0.0 -0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker14" name="instance_marker14">
<matrix>0.025 0.0 0.0 -0.0628 0.0 0.025 0.0 -0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker15" name="instance_marker15">
<matrix>0.025 0.0 0.0 -0.1874 0.0 0.025 0.0 -0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker16" name="instance_marker16">
<matrix>0.025 0.0 0.0 -0.3090 0.0 0.025 0.0 -0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker17" name="instance_marker17">
<matrix>0.025 0.0 0.0 -0.4258 0.0 0.025 0.0 -0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker18" name="instance_marker18">
<matrix>0.025 0.0 0.0 -0.5358 0.0 0.025 0.0 -0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker19" name="instance_marker19">
<matrix>0.025 0.0 0.0 -0.6374 0.0 0.025 0.0 -0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker20" name="instance_marker20">
<matrix>0.025 0.0 0.0 -0.7290 0.0 0.025 0.0 -0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker21" name="instance_marker21">
<matrix>0.025 0.0 0.0 -0.8090 0.0 0.025 0.0 -0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker22" name="instance_marker22">
<matrix>0.025 0.0 0.0 -0.8763 0.0 0.025 0.0 -0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker23" name="instance_marker23">
<matrix>0.025 0.0 0.0 -0.9298 0.0 0.025 0.0 -0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker24" name="instance_marker24">
<matrix>0.025 0.0 0.0 -0.9686 0.0 0.025 0.0 -0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker25" name="instance_marker25">
<matrix>0.025 0.0 0.0 -0.9921 0.0 0.025 0.0 -0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker26" name="instance_marker26">
<matrix>0.025 0.0 0.0 -1.0000 0.0 0.025 0.0 -0.0000 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<!-- Second Half -->
<node id="Marker28" name="instance_marker28">
<matrix>0.025 0.0 0.0 -0.9921 0.0 0.025 0.0 0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker29" name="instance_marker29">
<matrix>0.025 0.0 0.0 -0.9686 0.0 0.025 0.0 0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker30" name="instance_marker30">
<matrix>0.025 0.0 0.0 -0.9298 0.0 0.025 0.0 0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker31" name="instance_marker31">
<matrix>0.025 0.0 0.0 -0.8763 0.0 0.025 0.0 0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker32" name="instance_marker32">
<matrix>0.025 0.0 0.0 -0.8090 0.0 0.025 0.0 0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker33" name="instance_marker33">
<matrix>0.025 0.0 0.0 -0.7290 0.0 0.025 0.0 0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker34" name="instance_marker34">
<matrix>0.025 0.0 0.0 -0.6374 0.0 0.025 0.0 0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker35" name="instance_marker35">
<matrix>0.025 0.0 0.0 -0.5358 0.0 0.025 0.0 0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker36" name="instance_marker36">
<matrix>0.025 0.0 0.0 -0.4258 0.0 0.025 0.0 0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker37" name="instance_marker37">
<matrix>0.025 0.0 0.0 -0.3090 0.0 0.025 0.0 0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker38" name="instance_marker38">
<matrix>0.025 0.0 0.0 -0.1874 0.0 0.025 0.0 0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker39" name="instance_marker39">
<matrix>0.025 0.0 0.0 -0.0628 0.0 0.025 0.0 0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker40" name="instance_marker40">
<matrix>0.025 0.0 0.0 0.0628 0.0 0.025 0.0 0.4092 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker41" name="instance_marker41">
<matrix>0.025 0.0 0.0 0.1874 0.0 0.025 0.0 0.4027 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker42" name="instance_marker42">
<matrix>0.025 0.0 0.0 0.3090 0.0 0.025 0.0 0.3899 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker43" name="instance_marker43">
<matrix>0.025 0.0 0.0 0.4258 0.0 0.025 0.0 0.3710 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker44" name="instance_marker44">
<matrix>0.025 0.0 0.0 0.5358 0.0 0.025 0.0 0.3462 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker45" name="instance_marker45">
<matrix>0.025 0.0 0.0 0.6374 0.0 0.025 0.0 0.3159 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker46" name="instance_marker46">
<matrix>0.025 0.0 0.0 0.7290 0.0 0.025 0.0 0.2807 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker47" name="instance_marker47">
<matrix>0.025 0.0 0.0 0.8090 0.0 0.025 0.0 0.2410 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker48" name="instance_marker48">
<matrix>0.025 0.0 0.0 0.8763 0.0 0.025 0.0 0.1975 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker49" name="instance_marker49">
<matrix>0.025 0.0 0.0 0.9298 0.0 0.025 0.0 0.1509 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker50" name="instance_marker50">
<matrix>0.025 0.0 0.0 0.9686 0.0 0.025 0.0 0.1020 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<node id="Marker51" name="instance_marker51">
<matrix>0.025 0.0 0.0 0.9921 0.0 0.025 0.0 0.0514 0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
<instance_node url="#MarkersID3" />
</node>
<!-- End LAGRANGE markers -->
</node> <!-- END EntireEllipsoid -->
<node id="Inertial" name="instance_inertial"> <!-- Start Inertial Grouping of Objects -->
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 1803.0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="Zup_Pointer" name="instance_zupPointer">
<translate>0.0 0.0 5.0</translate>
<rotate sid="rotationX">1 0 0 0.0</rotate>
<rotate sid="rotationY">0 1 0 0.0</rotate>
<rotate sid="rotationZ">0 0 1 0.0</rotate>
<scale sid="scale">0.125 0.5 1.5</scale>
<instance_node url="#ZupPointer" />
</node>
<!-- instance: MidPlane Frame (MidPlane flips with rotationX = 180 for clockwise spin)-->
<node id="MidPlane" name="instance_MidPlane">
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.25 1.25 1.25</scale>
<instance_node url="#EqPlane" />
</node>
<!-- BEGIN LABELING HERE -->
<node name="Labels">
<translate>7.0 -2.0 5.0</translate>
<rotate sid="rotationX">1 0 0 0.0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 180</rotate>
<scale sid="scale">0.1 0.1 0.1</scale>
<!-- Equals sign #1 -->
<node name="Equals1">
<translate>0.0 15.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDd51" name="instance_51">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd52" name="instance_52">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd53" name="instance_53">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd55" name="instance_55">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd56" name="instance_56">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd57" name="instance_57">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Equals sign #2 -->
<node name="Equals2">
<translate>0.0 15.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDd51" name="instance_51">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd52" name="instance_52">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd53" name="instance_53">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd55" name="instance_55">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd56" name="instance_56">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDd57" name="instance_57">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Division sign #1 -->
<node name="Divide1">
<translate>0.0 4.4 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 0.75 1.0</scale>
<node id="IDd21" name="instance_21">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd22" name="instance_22">
<matrix>0.25 0 0 0.0 0 -1 0 1.1 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd23" name="instance_23">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd24" name="instance_24">
<matrix>0.25 0 0 0.0 0 -1 0 2.2 0 0 -1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd25" name="instance_25">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd26" name="instance_26">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd27" name="instance_27">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
</node>
<!-- Division sign #2 -->
<node name="Divide2">
<translate>0.0 4.4 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 0.75 1.0</scale>
<node id="IDd21" name="instance_21">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd22" name="instance_22">
<matrix>0.25 0 0 0.0 0 -1 0 1.1 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd23" name="instance_23">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd24" name="instance_24">
<matrix>0.25 0 0 0.0 0 -1 0 2.2 0 0 -1 1.1 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd25" name="instance_25">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd26" name="instance_26">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 2.2 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
<node id="IDd27" name="instance_27">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#Black_DiagonalID3" />
</node>
</node>
<!-- Letter "a" #1 -->
<node name="Letter_a1">
<translate>0.0 8.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDa01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa18" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa31" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "a" #2 -->
<node name="Letter_a2">
<translate>0.0 8.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDa01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa18" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa31" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "a" #2 -->
<node name="Letter_a2">
<translate>0.0 8.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDa01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa18" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 1 4.4 0 -1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa19" name="instance_19">
<matrix>0.25 0 0 0.0 0 0 -1 3.3 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa31" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDa20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDa21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "c" -->
<node name="Letter_c">
<translate>0.0 0.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="ID001" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID002" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID006" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID007" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID010" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID011" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID018" name="instance_18">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID019" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID020" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID021" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- Letter "b" ... has 8 + (4 x 15) = 68 lines -->
<node name="Letter_b">
<translate>0.0 0.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb03" name="instance_3">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb12" name="instance_12">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- DECIMAL POINTS -->
<node id="IDD01" name="Decimal_1">
<matrix>0.25 0 0 0.0 0 1 0 25.0 0 0 1 1.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDD02" name="Decimal_2">
<matrix>0.25 0 0 0.0 0 1 0 25.0 0 0 1 -8.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<!-- Number "0" #1 ... has 8 + (4 x 18) = 80 lines -->
<node name="Number_0">
<translate>0.0 20.0 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb03" name="instance_3">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz19" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz11" name="instance_z11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
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<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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</node>
<!-- Number "0" #2 ... has 8 + (4 x 18) = 80 lines -->
<node name="Number_0b">
<translate>0.0 20.0 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDz19" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
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<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
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<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
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<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
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<node id="IDz11" name="instance_z11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- Number "1" ... has 8 + (4 x 8) = 40 lines -->
<!-- Number "2" #1 ... has 8 + (4 x 17) = 76 lines -->
<!-- Number "2" #2 ... has 8 + (4 x 17) = 76 lines -->
<!-- Number "3" ... has 8 + (4 x 18) = 80 lines -->
<!-- Number "4" ... has 8 + (4 x 13) = 60 lines -->
<!-- Number "5" ... has 8 + (4 x 17) = 76 lines -->
<!-- Number "6" ... has 8 + (4 x 18) = 80 lines -->
<!-- Number "7" ... has 8 + (4 x 14) = 64 lines -->
<!-- Number "8" ... has 8 + (4 x 22) = 96 lines -->
<!-- Number "9" ... has 8 + (4 x 15) = 68 lines -->
<!-- bovera_Digit1 is "4" -->
<node name="bovera_Digit1">
<translate>0.0 26.8 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "4" ... has 8 + (4 x 13) = 60 lines -->
<node id="IDe01" name="instance_e01">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe02" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe02" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDn09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDf12" name="instance_n12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDn12" name="instance_n12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- bovera_Digit2 is "1" -->
<node name="bovera_Digit2">
<translate>0.0 31.8 1.0</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "1" ... has 8 + (4 x 8) = 40 lines -->
<node id="ID101" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID102" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID103" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID104" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID105" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID106" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID107" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID109" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
</node>
<!-- covera_Digit1 is "3" -->
<node name="covera_Digit1">
<translate>0.0 26.8 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "3" ... has 8 + (4 x 18) = 80 lines -->
<node id="ID301" name="instance_e01">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID302" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID303" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID304" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID305" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID306" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID307" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID308" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID309" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID310" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID311" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID312" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID313" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID314" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID315" name="instance_e19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID316" name="instance_e20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="ID317" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="ID318" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- covera_Digit2 is "8" -->
<node name="covera_Digit2">
<translate>0.0 31.8 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "8" ... has 8 + (4 x 22) = 96 lines -->
<node id="IDe01" name="instance_e01">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe02" name="instance_e02">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb02" name="instance_2">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDe19" name="instance_e19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDe21" name="instance_e21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz19" name="instance_z19">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 6.6 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDe19" name="instance_e19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDe20" name="instance_e20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- covera_Digit3 is "5" -->
<node name="covera_Digit3">
<translate>0.0 37.1 -8.5</translate>
<rotate sid="rotationX">1 0 0 0</rotate>
<rotate sid="rotationY">0 1 0 0</rotate>
<rotate sid="rotationZ">0 0 1 0</rotate>
<scale sid="scale">1.0 1.0 1.0</scale>
<!-- Number "5" ... has 8 + (4 x 17) = 76 lines -->
<node id="IDb01" name="instance_1">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb04" name="instance_4">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 4.4 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb05" name="instance_5">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 5.5 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDf06" name="instance_f6">
<matrix>0.25 0 0 0.0 0 1 0 0.0 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb06" name="instance_6">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb07" name="instance_7">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb08" name="instance_8">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 2.2 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb09" name="instance_9">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 1.1 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb10" name="instance_10">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb11" name="instance_11">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 0.0 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDb19" name="instance_19">
<matrix>0.25 0 0 0.0 0 -1 0 3.3 0 0 -1 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDb20" name="instance_20">
<matrix>0.25 0 0 0.0 0 0 1 3.3 0 -1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
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<node id="IDf11" name="instance_f11">
<matrix>0.25 0 0 0.0 0 1 0 3.3 0 0 1 6.6 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
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<node id="IDb21" name="instance_21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 0.0 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
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<node id="IDf21" name="instance_f21">
<matrix>0.25 0 0 0.0 0 0 -1 0.0 0 1 0 3.3 0 0 0 1.0</matrix>
<instance_node url="#DiagonalID3" />
</node>
<node id="IDz12" name="instance_z12">
<matrix>0.25 0 0 0.0 0 1 0 1.1 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
<node id="IDz13" name="instance_z13">
<matrix>0.25 0 0 0.0 0 1 0 2.2 0 0 1 3.3 0 0 0 1.0</matrix>
<instance_node url="#LettersID3" />
</node>
</node>
<!-- END LABELING HERE -->
</node>
<!-- BEGIN CLOCK -->
<node id="EntireClock" name="instance_Clock">
<translate>7.0 0.0 5.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.00 1.00 1.00</scale>
<node id="firstclock" name="instance_1"> <!-- TWO -->
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
<scale sid="scale">1.00 1.00 1.00</scale>
<instance_node url="#ID3" />
</node> <!-- /TWO -->
<node id="Jetman" name="instance_Arrow"> <!-- TWO -->
<matrix sid="transformation"> 0.000 0.000 -1.00 0.00 -1.0000 0.0000 0.000 0.000 0.0000 1.0000 0.000 0.00 0.000 0.000 0.000 1.000</matrix>
<instance_node url="#ArrowID3" />
</node> <!-- /TWO -->
<node id="HourHand" name="instance_Hour"> <!-- TWO -->
<translate>0.0 0.0 0.0</translate>
<rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
<rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
<rotate sid="rotationZ">0.0 0.0 1 270.0</rotate>
<scale sid="scale">0.75 0.75 0.75</scale>
<instance_node url="#HourID3" />
</node> <!-- /TWO -->
</node>
<!-- END CLOCK -->
</node> <!-- End Inertial Grouping of Objects -->
</visual_scene>
</library_visual_scenes>
<scene>
<instance_visual_scene url="#ID1" />
</scene>
</COLLADA>
Inside the Oculus Rift S Environment
Introduction
The Oculus Rift S will import user-constructed 3D objects and allow you to place those objects in a high-quality, interactive virtual reality (VR) environment. But the Oculus system does not accept COLLADA-formatted files directly. Instead, it is set up to import files that are in a ".glb" format, which is the binary version of a "GL Transmission Format" (glTF) file. My original expectation was that, after I learned how to construct some intricate and astrophysically interesting 3D visual scenes using COLLADA — successfully accomplished (!) as illustrated above — all I would need to do is find a community tool that could translate a COLLADA (.dae) file into glTF (.glb).
Here are a few discoveries I made along the way:
- The Windows 10 startup menu includes a "3D Viewer" app but, at least on my Lenova PC, it does not recognize .dae-formatted files.
- The Windows 10 startup menu includes a "Paint 3D" application. Using this app, it was very easy to "draw" some simple 3D geometric objects — such as a cube or a torus — and it was straightforward to export each object to a .glb-formatted file.
- Adobe Photoshop can read in a COLLADA (.dae) file and it is capable of exporting a 3D scene in .glb format.
- BlackThread.io offers a browser-based tool, named "glTF Converter", that can ostensibly translate .dae-formatted files into .glb-formatted files.
- The Khronos Group's "COLLADA to glTF" conversion tool can be located under the group's name on GitHub.
Khronos Group's COLLADA2GLTF Converter
Among this group of potentially useful tools, we have had — by far — the most success/luck using the Khronos Group's COLLADA2GLTF converter. We downloaded and installed version 2 of this Khronos Group conversion tool on our Mac Pro. The executable, named COLLADA2GLTF-bin, was installed on our Mac at the end of a directory tree named …/Dropbox/Lenovo/COLLADA_to_gltf/COLLADA2GLTF-v2/. In order to translate a specific COLLADA-formatted (filename.dae) file:
- From inside the Mac's "Terminal" application, we changed directories until we were sitting in the above-specified Mac (Dropbox) directory
- We moved (or copied) the chosen COLLADA-formatted file (filename.dae) into the same directory
- At the terminal prompt, we typed the line command: ./COLLADA2GLTF-bin -i filename.dae -b
- The .glb-formatted output file was stored as …/Dropbox/Lenovo/COLLADA_to_gltf/COLLADA2GLTF-v2/output/filename.glb
| Example Mac-Pro Line Commands + Responses |
command: pwd
response: ../Dropbox/Lenovo/COLLADA_to_gltf/COLLADA2GLTF-v2
command: ls *.dae
response: Inertial17.dae
command: ./COLLADA2GLTF-bin -i Inertial17.dae -b
response: Converting Inertial17.dae -> output/Inertial17.glb
Time: 48.166 ms
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CAUTION! While we found this COLLADA2GLTF converter to be a very useful tool, we also discovered that porting a model from one visualization environment to another can be a challenging and frustrating endeavor. It is difficult enough to build a (error-free) COLLADA-formatted model that will properly display a desired animated scene in the Mac's Preview app. But it is naive to expect that that same COLLADA code will survive a translation to glTF and seamlessly construct the identical animated scene within the Oculus Rift S environment. In a pair of accompanying chapters — this one, followed by another one — we have chronicled the steps that we have taken to generate our first few (error-free) COLLADA-based models that display properly in both environments. Experience has taught us that … (1) When interpreting COLLADA's <xml>-formatted instructions, the Mac's Preview app is considerably more forgiving than is the Oculus system; (2) almost any code that display's properly in the Mac's Preview app will survive the translation to glTF, in the sense that the COLLADA2GLTF converter seldom complains; but, (3) nevertheless, frequently the Oculus system won't display the model because it detects an error(s), but it almost never suggests what the error(s) might be. When embarking on the development of a new interactive and animated 3D visual scene, the best strategy is a time-consuming one: Start with a COLLADA code that works in both environments — we provide two such codes herein; make only incremental changes and ensure that the model displays properly in the Mac's Preview app; convert the COLLADA-based code to glTF (.glb); don the Oculus Rift S headset & hand controllers, and attempt to import this new model into your "Oculus Home".
Import to Oculus Rift S Environment
We purchased a Lenovo PC (Windows 10) gaming laptop to drive the Oculus Rift S system; more specifically, it is Lenovo's Legion Y740 15" with NVIDIA GeForce GTX 1660Ti 6GB. Two connections were required: (1) Mini DisplayPort; and (2) USB. We downloaded and installed the Oculus program files under the directory C:\Program Files\Oculus. We also mounted Dropbox on the Lenovo, which gave us immediate access to the model files that were created using the Mac Pro. As an example, we located the model file named Inertial17.glb and placed a copy of the file in the directory … This PC\Documents\Oculus Home\_Import. Any (error free) ".glb"-formatted file that is located in this directory is available for import into the Oculus' 3D virtual-reality environment.
When we want to view one of our models, we first start the Oculus application on the Lenovo then click on "Devices" to check whether the headset and two hand controllers are in proper communication with the PC (GREEN buttons) or not (RED buttons). We don the headset & controllers, thereby entering the Oculus Rift S VR environment. [Occasionally we forget to start the Oculus app before putting on the headset. When this happens, the app seems to sense that we have donned the headset and it starts itself!] The following sequence of steps allows us to place the example model, Inertial17, into our Oculus Home.
| Inside the Oculus Rift S Home Environment | |
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The image shown here, immediately to the left, is a snapshot of the first scene that is displayed in our Oculus Home shortly after we have donned the headset and the pair of hand controllers. The shallow, curved desk immediately in front of us presents ten or so clickable panels (menu choices). In the image, we have highlighted the "Home" button by pointing to it with the index finger of our right hand.
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The image shown here, immediately to the left, is a snapshot of a portion of the scene that is displayed after we have clicked the "Menu" button on our left-hand controller. As illustrated, we have pointed to — and thereby have highlighted in blue — the top menu item, "Places," and we are in the process of sliding our aim down to the next menu item, "Inventory."
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As is shown here, immediately to the left, the menu panel is updated after the "Inventory" button has been clicked, as directed above.
After highlighting then clicking "My Imports," a three-dimensional display case (a shadow box) containing up to 4 × 3 objects appears, as is illustrated here in the screenshot on the left. Each object in this display case is generated from one of the (error free) ".glb"-formatted files that is located in the aforementioned Lenovo directory … This PC\Documents\Oculus Home\_Import — including files that reside in subdirectories of this parent _Import directory. |
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NOTE:
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In the image shown here, immediately on the left, we are pointing at, and are about to "grab", the model we have named, MultiLagrange18. We could have, just as well, pointed at and grabbed the model sitting on the shelf next to it named, Inertial17.
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The image shown here, immediately on the left, is a snapshot of our Oculus Home shortly after our model named, Inertial17, has been resized (enlarged) then placed in the room. |
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NOTE: The steps required to remove a model from the "My Imports" Inventory — that is, from the display case — are not easy to guess. Here we identify what appears to be the required sequence of steps, using our model, MultiLagrange18, as an example.
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| Additional Photos from Inside the Oculus Rift S Home Environment | |
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Two of our COLLADA-driven animated models can be identified in each of the three frames of this image montage: In all three cases, the one on the right is model Inertial17 and the one on the left is model MultiLagrange18. The bottom (selfie) visual scene illustrates that we can add to our Oculus home environment other items that are straightforwardly selected from a large Oculus objects inventory. |
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Footnotes
‡Adopting the characteristic mass <math>~(M_\mathrm{Ch} = \mu_e^{-2} \cdot 1.14205 \times 10^{34} ~\mathrm{g})</math> and characteristic length <math>~(\ell_1 = \mu_e^{-1} \cdot 7.71395 \times 10^{8} ~\mathrm{cm})</math> that are associated with a white dwarf equation of state, we can reasonably state that the characteristic mean density of a spherically symmetric white dwarf is,
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<math>~{\bar\rho}_\mathrm{WD}</math> |
<math>~\equiv</math> |
<math>~ \frac{3 M_\mathrm{Ch}}{4\pi \ell_1^3} = \mu_e \cdot 5.93972 \times 10^{6}~\mathrm{g}~{\mathrm{cm}}^{-3} \, . </math> |
Drawing from our above discussion of timescales that arise in the context of our COLLADA-driven animations, we therefore appreciate that the characteristic oscillation period associated with a white dwarf whose molecular weight of electrons is <math>~\mu_e = 2</math>, proves to be,
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<math>~[P_0]_\mathrm{WD}</math> |
<math>~=</math> |
<math>~ \biggl[ \frac{4\pi}{G{\bar\rho}_\mathrm{WD}} \biggr]^{1 / 2} = 3.98~\mathrm{s}\, . </math> |
By presenting animation scenes in which one wall-clock "hour" equates to approximately 4 seconds of real time, we can reasonably assert that our animated models fairly represent how a Riemann-ellipsoid-like white dwarf should behave in real time.
See Also
- Discussion of Ou's Riemann-Like Ellipsoids
- Riemann Meets COLLADA & Oculus Rift S: Example (b/a, c/a) = (0.41, 0.385)
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© 2014 - 2021 by Joel E. Tohline |