User:Tohline/Appendix/Ramblings/RiemannB90C333 - Revision history

Tohline: /* See Also */

2020-06-14T03:58:17Z

Tohline: /* Key Physical Parameters */

2020-06-13T21:25:55Z

Key Physical Parameters

← Older revision		Revision as of 21:25, 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 */

2020-06-13T21:20:34Z

Key Physical Parameters

← Older revision		Revision as of 21:20, 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 */

2020-06-13T21:08:49Z

Key Physical Parameters

← Older revision		Revision as of 21:08, 13 June 2020
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	The model that we have chosen to use in our second 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 second 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]]:

	<table border="1" cellpadding="5" align="center">		<table border="0" cellpadding="5" align="center">

	<tr>		<tr>

Tohline: /* Key Physical Parameters */

2020-06-13T21:08:32Z

Key Physical Parameters

← Older revision		Revision as of 21:08, 13 June 2020
Line 10:		Line 10:
	The model that we have chosen to use in our second 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 second 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]]:

	<table border="0" cellpadding="5" align="center">		<table border="1" cellpadding="5" align="center">

	<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:B90c333EFEdiagram02.png\|325px\|EFE Parameter Space]]		[[File:B90c333EFEdiagram02.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} = 0.90</math>		<math>~\frac{b}{a} = 0.90</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:COLLADAb90c333NewModel.png\|300px\|EFE Model b90c333]]		[[File:COLLADAb90c333NewModel.png\|300px\|EFE Model b90c333]]
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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} = - 0.447158 </math>		<math>~\lambda_\mathrm{EFE} = - 0.447158 </math>
			</td>
			</tr>

			<tr>
			<td align="center">
			<math>~f = + 0.995805</math>
			</td>
			<td align="center">
			<math>~f = + 4.061607 </math>
	</td>		</td>
	</tr>		</tr>

Tohline: /* Key Physical Parameters */

2020-06-12T21:19:02Z

Key Physical Parameters

← Older revision		Revision as of 21:19, 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_STypeB90C333~~.png\|325px\|EFE Parameter Space]]		[[File:B90c333EFEdiagram02.png\|325px\|EFE Parameter Space]]
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="5" width="2%">

Tohline: /* Adjoint Configurations */

2020-06-04T17:02:38Z

Adjoint Configurations

← Older revision		Revision as of 17:02, 4 June 2020
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	===''Adjoint'' Configurations===		===''Adjoint'' Configurations===

			<div align="center" id="Scroll3">
			<b>b90c333AI.dae</b> [''Adjoint'' Inertial Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
			</div>

			<div style="height: 250px; width: 100%; overflow: scroll;">
			<pre>
			<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
			</pre>
			</div>


			<div align="center" id="Scroll4">
			<b>b90c333ARot.dae</b> [''Adjoint'' Rotating Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
			</div>

			<div style="height: 250px; width: 100%; overflow: scroll;">
			<pre>
			<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
			</pre>
			</div>

	=See Also=		=See Also=

Tohline: /* COLLADA Model Files */

2020-06-04T17:01:19Z

COLLADA Model Files

← Older revision		Revision as of 17:01, 4 June 2020
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	==COLLADA Model Files==		==COLLADA Model Files==

			===''Direct'' Configurations===


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	</pre>		</pre>
	</div>		</div>

			===''Adjoint'' Configurations===

	=See Also=		=See Also=

Tohline: /* COLLADA Model Files */

2020-06-04T16:57:53Z

COLLADA Model Files

← Older revision		Revision as of 16:57, 4 June 2020
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	<div align="center" id="Scroll1">		<div align="center" id="Scroll1">
	<b>b90c333DI.dae</b> [''Direct'' Inertial Frame]    …     a COLLADA code containing ~~nnnn~~ lines of <xml>-formatted ASCII text		<b>b90c333DI.dae</b> [''Direct'' Inertial Frame]    …     a COLLADA code containing 9198 lines of <xml>-formatted ASCII text
	<br />Original filename used above: FastInertial80.dae		<br />Original filename used above: FastInertial80.dae
	</div>		</div>
Line 9,321:		Line 9,321:

	<div align="center" id="Scroll1">		<div align="center" id="Scroll1">
	<b>b90c333DRot.dae</b> [''Direct'' Rotating Frame]    …     a COLLADA code containing ~~nnnn~~ lines of <xml>-formatted ASCII text		<b>b90c333DRot.dae</b> [''Direct'' Rotating Frame]    …     a COLLADA code containing 9198 lines of <xml>-formatted ASCII text
	<br />Original filename used above: FastRot79.dae		<br />Original filename used above: FastRot79.dae
	</div>		</div>

Tohline: /* COLLADA Model Files */

2020-06-04T16:55:54Z

COLLADA Model Files

Show changes

← 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>