User:Tohline/Appendix/Ramblings/RiemannB28C256 - Revision history

Tohline: /* See Also */

2020-06-14T03:58:46Z

Tohline: /* Key Physical Parameters */

2020-06-13T21:26:43Z

Key Physical Parameters

← Older revision		Revision as of 21:26, 13 June 2020
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	</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" ~~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>].		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>].

	==Coding Steps==		==Coding Steps==

Tohline: /* Key Physical Parameters */

2020-06-13T21:21:37Z

Key Physical Parameters

← Older revision		Revision as of 21:21, 13 June 2020
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	</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 ~~solid purple~~ circular marker (where the pair of purple lines cross) identifies the location of this model in the "c/a versus b/a" 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>].		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" 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>].

	==Coding Steps==		==Coding Steps==

Tohline: /* Key Physical Parameters */

2020-06-13T21:14:31Z

Key Physical Parameters

← Older revision		Revision as of 21:14, 13 June 2020
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	<tr>		<tr>
	<td align="center" rowspan="5">		<td align="center" rowspan="6">
	<b>Figure 1a</b><br /> <br />		<b>Figure 1a</b><br /> <br />
	[[File:B28c256EFEdiagram02.png\|325px\|EFE Parameter Space]]		[[File:B28c256EFEdiagram02.png\|325px\|EFE Parameter Space]]
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="6" width="2%">

	</td>		</td>
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	<math>~\frac{b}{a} = 0.28</math>		<math>~\frac{b}{a} = 0.28</math>
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="6" width="2%">

	</td>		</td>
	<td align="center" rowspan="5" bgcolor="lightgrey">		<td align="center" rowspan="6" bgcolor="lightgrey">
	<b>Figure 1b</b><br />		<b>Figure 1b</b><br />
	[[File:COLLADAb28c256OldModel.png\|300px\|EFE Model b28c256]]		[[File:COLLADAb28c256OldModel.png\|300px\|EFE Model b28c256]]
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	''Direct''		''Direct''
	</td>		</td>
	<td align="center" width="2%" rowspan="3">		<td align="center" width="2%" rowspan="4">

	</td>		</td>
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	<td align="center">		<td align="center">
	<math>~\lambda_\mathrm{EFE} = - 0.456676</math>		<math>~\lambda_\mathrm{EFE} = - 0.456676</math>
			</td>
			</tr>

			<tr>
			<td align="center">
			<math>~f = - 0.174510</math>
			</td>
			<td align="center">
			<math>~f = - 85.0007</math>
	</td>		</td>
	</tr>		</tr>

Tohline: /* Key Physical Parameters */

2020-06-12T21:16:22Z

Key Physical Parameters

← Older revision		Revision as of 21:16, 12 June 2020
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	<tr>		<tr>
	<td align="center" rowspan="5">		<td align="center" rowspan="5">
	<b>Figure 1a</b><br />		<b>Figure 1a</b><br /> <br />
	[[File:~~EFE_STypeB28C256~~.png\|325px\|EFE Parameter Space]]		[[File:B28c256EFEdiagram02.png\|325px\|EFE Parameter Space]]
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="5" width="2%">

Tohline: /* Coding Steps */

2020-06-05T04:21:19Z

Coding Steps

← Older revision		Revision as of 04:21, 5 June 2020
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	<li><font color="darkgreen"><b>PencilInertial95.dae</b></font>		<li><font color="darkgreen"><b>PencilInertial95.dae</b></font>
	<br />Flipped from rotating- to inertial-frame of reference. <font color="red">This works in both visualization venues</font>		<br />Flipped from rotating- to inertial-frame of reference. <font color="red">This works in both visualization venues</font>
			</li>
			<li><font color="darkgreen"><b>PencilInertial96.dae</b></font>
			<br />Enlarged red "Lagrange01" marker from 0.03 to 0.075; and changed transparency of ellipsoid surface to (totally opaque) 1.0. <font color="red">This works in both visualization venues</font>
	</li>		</li>
	</ul>		</ul>
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	The example models created for display in the Oculus Rift S are the following:		The example models created for display in the Oculus Rift S are the following:
	<ol>		<ol>
	<li>Inertial Frame: <font color="lightgreen">[KEEP]</font> ~~PencilInertial95~~.dae [04 June 2020] </li>		<li>Inertial Frame: <font color="lightgreen">[KEEP]</font> PencilInertial96.dae [04 June 2020] </li>
	<li>Rotating Frame: <font color="lightgreen">[KEEP]</font> Pencil94.dae [04 June 2020] </li>		<li>Rotating Frame: <font color="lightgreen">[KEEP]</font> Pencil94.dae [04 June 2020] </li>
	</ol>		</ol>

Tohline: /* Coding Steps */

2020-06-05T03:44:58Z

Coding Steps

← Older revision		Revision as of 03:44, 5 June 2020
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	<li><font color="darkgreen"><b>Pencil94.dae</b></font>		<li><font color="darkgreen"><b>Pencil94.dae</b></font>
	<br />Finished specifying correct behavior of clock, which gives the final, fully functional model. <font color="red">This works in both visualization venues</font>		<br />Finished specifying correct behavior of clock, which gives the final, fully functional model. <font color="red">This works in both visualization venues</font>
			</li>
			<li><font color="darkgreen"><b>PencilInertial95.dae</b></font>
			<br />Flipped from rotating- to inertial-frame of reference. <font color="red">This works in both visualization venues</font>
	</li>		</li>
	</ul>		</ul>

	~~===Part B===~~
	~~<ul>~~
	~~<li><font color="darkgreen"><b>FastRot78.dae</b></font>~~
	<br />All the animation elements have been inserted and debugged, but as if internal fluid motion is regrograde (clockwise). Need to flip the fluid motion so that it is prograde (counter-clockwise) even in the rotating frame of reference.
	~~</li>~~
	~~<li><font color="darkgreen"><b>FastRot79.dae</b></font>~~
	<br />All the animation elements have been inserted and debugged, with internal fluid correctly moving prograde (counter-clockwise) even in the rotating frame of reference. <font color="red">This works in both visualization venues</font>.
	~~</li>~~
	~~<li><font color="darkgreen"><b>FastInertial80.dae</b></font>~~
	~~<br />Test.~~
	~~</li>~~
	~~</ul>~~

	===Best b28c256 Models===		===Best b28c256 Models===
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	The example models created for display in the Oculus Rift S are the following:		The example models created for display in the Oculus Rift S are the following:
	<ol>		<ol>
	<li>Inertial Frame: <font color="lightgreen">[KEEP]</font> </li>		<li>Inertial Frame: <font color="lightgreen">[KEEP]</font> PencilInertial95.dae [04 June 2020] </li>
	<li>Rotating Frame: <font color="lightgreen">[KEEP]</font> Pencil94.dae [04 June 2020] </li>		<li>Rotating Frame: <font color="lightgreen">[KEEP]</font> Pencil94.dae [04 June 2020] </li>
	</ol>		</ol>

Tohline: /* Best b28c256 Models */

2020-06-05T03:25:45Z

Best b28c256 Models

← Older revision		Revision as of 03:25, 5 June 2020
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	<ol>		<ol>
	<li>Inertial Frame: <font color="lightgreen">[KEEP]</font> </li>		<li>Inertial Frame: <font color="lightgreen">[KEEP]</font> </li>
	<li>Rotating Frame: <font color="lightgreen">[KEEP]</font> </li>		<li>Rotating Frame: <font color="lightgreen">[KEEP]</font> Pencil94.dae [04 June 2020] </li>
	</ol>		</ol>

Tohline: /* Part A */

2020-06-05T03:24:25Z

Part A

← Older revision		Revision as of 03:24, 5 June 2020
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	</li>		</li>
	<li><font color="darkgreen"><b>Pencil92.dae</b></font>		<li><font color="darkgreen"><b>Pencil92.dae</b></font>
	<br />Inserted the correct depiction of the 9 Lagrangian fluid elements.		<br />Inserted the correct ''animated'' depiction of the 9 Lagrangian fluid elements.
	</li>		</li>
	<li><font color="darkgreen"><b>Pencil93.dae</b></font>		<li><font color="darkgreen"><b>Pencil93.dae</b></font>
	<br />Placed 51 yellow, equatorial-plane markers. <font color="red">This works in both visualization venues</font>		<br />Placed 51 yellow, equatorial-plane markers. <font color="red">This works in both visualization venues</font>
			</li>
			<li><font color="darkgreen"><b>Pencil94.dae</b></font>
			<br />Finished specifying correct behavior of clock, which gives the final, fully functional model. <font color="red">This works in both visualization venues</font>
	</li>		</li>
	</ul>		</ul>

Tohline: /* Part A */

2020-06-05T02:56:53Z

Part A

← Older revision		Revision as of 02:56, 5 June 2020
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	</li>		</li>
	<li><font color="darkgreen"><b>Pencil93.dae</b></font>		<li><font color="darkgreen"><b>Pencil93.dae</b></font>
	<br />.		<br />Placed 51 yellow, equatorial-plane markers. <font color="red">This works in both visualization venues</font>
	</li>		</li>
	</ul>		</ul>

← Older revision		Revision as of 03:58, 14 June 2020
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	* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype\|Ou's Riemann-Like Ellipsoids]]		* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype\|Ou's Riemann-Like Ellipsoids]]

	* [[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS\|Riemann Meets COLLADA & 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/VirtualReality#Virtual_Reality_and_3D_Printing\|Virtual Reality and 3D Printing]]		** [[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/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]]~~: Example <b>(b/a, c/a) = (0.41, 0.385)</b>~~		** [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus\|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]
	** Other Example S-type Riemann Ellipsoids:		** 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/RiemannB90C333\|(b/a, c/a) = (0.90, 0.333)]]</b>