Jet53man: /* Ellipsoid */

2022-04-13T21:39:52Z

Ellipsoid

← Older revision		Revision as of 17:39, 13 April 2022
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	<td align="center" bgcolor="lightgrey">[[File:EllipsoidOctantMerged54.png\|250px\|~~Clock~~]]</td>		<td align="center" bgcolor="lightgrey">[[File:EllipsoidOctantMerged54.png\|250px\|EllipsoidOctantMerged54]]</td>
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Jet53man: /* Equivalent Matrix Instructions */

2022-04-13T21:24:11Z

Equivalent Matrix Instructions

← Older revision		Revision as of 17:24, 13 April 2022
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	<td align="center" rowspan="1" bgcolor="lightgrey">[[File:~~ColladaMatrix22_image~~.png\|250px\|~~ColladaMatrix22_HBook~~]]</td>		<td align="center" rowspan="1" bgcolor="lightgrey">[[File:ColladaMatrix22HBook.png\|250px\|ColladaMatrix22HBook]]</td>
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Jet53man: /* Explicit Specification of Translate and Rotate Instructions */

2022-04-13T21:20:43Z

Explicit Specification of Translate and Rotate Instructions

← Older revision		Revision as of 17:20, 13 April 2022
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	<td align="center" rowspan="1" bgcolor="lightgrey">[[File:~~ColladaOther20_HBook~~.png\|250px\|~~ColladaOther20_HBook~~]]</td>		<td align="center" rowspan="1" bgcolor="lightgrey">[[File:ColladaOther20HBook.png\|250px\|ColladaOther20HBook]]</td>
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Jet53man at 21:07, 13 April 2022

2022-04-13T21:07:38Z

Jet53man: Created page with "FORCETOC =Virtual Reality and 3D Printing= [Circa August 2019] I am once again considering whether steady improvements in certain di..."

2021-07-24T21:20:41Z

Created page with "__FORCETOC__  =Virtual Reality and 3D Printing= [Circa August 2019] I am once again considering whether steady improvements in certain di..."

Show changes

← Older revision		Revision as of 17:07, 13 April 2022
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	[Circa August 2019] I am once again considering whether steady improvements in certain digital technologies over the past half-a-dozen years can be straightforwardly called upon to display to a broad audience the three-dimensional characteristics of rapidly rotating fluid systems. Two specific technologies come to mind: (1) 3D printing; and (2) XR (virtual reality). A cursory online investigation suggests that we may be able to import OBJ-formatted files into the software algorithms that drive these two technologies. In addition, the popular ''Unity'' design tool may serve us well in our efforts to build/view/export such files.		[Circa August 2019] I am once again considering whether steady improvements in certain digital technologies over the past half-a-dozen years can be straightforwardly called upon to display to a broad audience the three-dimensional characteristics of rapidly rotating fluid systems. Two specific technologies come to mind: (1) 3D printing; and (2) XR (virtual reality). A cursory online investigation suggests that we may be able to import OBJ-formatted files into the software algorithms that drive these two technologies. In addition, the popular ''Unity'' design tool may serve us well in our efforts to build/view/export such files.

	[11 April 2020] Building on the ideas and developed skills that are detailed in this chapter (see all the following subsections), this is the date on which, for the first time, we successfully imported a 3D animated scene into the [[~~User:Tohline/~~Appendix/Ramblings/~~OculusRift_S~~\|Oculus Rift S]].		[11 April 2020] Building on the ideas and developed skills that are detailed in this chapter (see all the following subsections), this is the date on which, for the first time, we successfully imported a 3D animated scene into the [[Appendix/Ramblings/OculusRiftS\|Oculus Rift S]].

	==Initial Browsing of Online Resources==		==Initial Browsing of Online Resources==
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	<li>Choose an equilibrium Riemann S-type ellipsoidal model:</li>		<li>Choose an equilibrium Riemann S-type ellipsoidal model:</li>
	<ol type="A">		<ol type="A">
	<li>From EFE, or [https://ui.adsabs.harvard.edu/abs/2006ApJ...639..549O/abstract Ou (2006)], or Table 2 in [[~~User:Tohline/~~ThreeDimensionalConfigurations/RiemannStype#Our_Parameter_Determinations\|our separate discussion of Ou's work]], pick the desired pair of axis ratios, b/a and c/a; for example, b/a = 0.41 and c/a = 0.385.</li>		<li>From EFE, or [https://ui.adsabs.harvard.edu/abs/2006ApJ...639..549O/abstract Ou (2006)], or Table 2 in [[ThreeDimensionalConfigurations/RiemannStype#Our_Parameter_Determinations\|our separate discussion of Ou's work]], pick the desired pair of axis ratios, b/a and c/a; for example, b/a = 0.41 and c/a = 0.385.</li>
	<li>Find fortran code at, for example, philip.hpc.lsu.edu:/home/tohline/numRecipes/EllipticIntegrals/Riemann/Riemann01.for</li>		<li>Find fortran code at, for example, philip.hpc.lsu.edu:/home/tohline/numRecipes/EllipticIntegrals/Riemann/Riemann01.for</li>
	<li>If necessary, compile this code then link it to the doubleELib.o library</li>		<li>If necessary, compile this code then link it to the doubleELib.o library</li>
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	This means that, in the accompanying discussion titled [[~~User:Tohline/~~ThreeDimensionalConfigurations/RiemannStype#Feeding_a_3D_Animation\|''Feeding a 3D Animation'']], <math>~\varphi \rightarrow -2\pi \lambda_D</math> while <math>~t \rightarrow \mathrm{TIME}/4</math>. Note that <math>~x</math> goes from <math>~+x_\mathrm{max}</math> to <math>~-x_\mathrm{max}</math> over a ''TIME'' interval, <math>~T_\pi</math>, given by when the absolute value of the argument of the trigonometric functions goes to <math>~\pi</math>. That is, as viewed from a frame that is rotating with the ellipsoidal figure, one complete elliptical orbital ''period'' for every individual Lagrangian fluid element will be,		This means that, in the accompanying discussion titled [[ThreeDimensionalConfigurations/RiemannStype#Feeding_a_3D_Animation\|''Feeding a 3D Animation'']], <math>~\varphi \rightarrow -2\pi \lambda_D</math> while <math>~t \rightarrow \mathrm{TIME}/4</math>. Note that <math>~x</math> goes from <math>~+x_\mathrm{max}</math> to <math>~-x_\mathrm{max}</math> over a ''TIME'' interval, <math>~T_\pi</math>, given by when the absolute value of the argument of the trigonometric functions goes to <math>~\pi</math>. That is, as viewed from a frame that is rotating with the ellipsoidal figure, one complete elliptical orbital ''period'' for every individual Lagrangian fluid element will be,
	<div align="center">		<div align="center">
	<math>~P_\mathrm{orb} \equiv 2T_\pi =\frac{4}{\|\lambda_D\|} \, .</math>		<math>~P_\mathrm{orb} \equiv 2T_\pi =\frac{4}{\|\lambda_D\|} \, .</math>
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	==See Also==		==See Also==

	* Discussion of [[~~User:Tohline/~~ThreeDimensionalConfigurations/RiemannStype\|Ou's Riemann-Like Ellipsoids]]		* Discussion of [[ThreeDimensionalConfigurations/RiemannStype\|Ou's Riemann-Like Ellipsoids]]

	* [[~~User:Tohline/~~ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS\|Riemann Meets COLLADA & Oculus Rift S]]: Example <b>(b/a, c/a) = (0.41, 0.385)</b>		* [[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]]		** [[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]]		** [[Appendix/Ramblings/OculusRiftS\|Success Importing Animated Scene into Oculus Rift S]]
	** [[~~User:Tohline/~~Appendix/Ramblings/RiemannMeetsOculus\|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]		** [[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>[[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>[[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>		*** <b>[[Appendix/Ramblings/RiemannB28C256\|(b/a, c/a) = (0.28, 0.256)]]</b>


	{{ SGFfooter }}		{{ SGFfooter }}

Appendix/Ramblings/VirtualReality - Revision history

Jet53man: /* Ellipsoid */

Jet53man: /* Equivalent Matrix Instructions */

Jet53man: /* Explicit Specification of Translate and Rotate Instructions */

Jet53man at 21:07, 13 April 2022

Jet53man: Created page with "__FORCETOC__ =Virtual Reality and 3D Printing= [Circa August 2019] I am once again considering whether steady improvements in certain di..."

Jet53man: Created page with "FORCETOC =Virtual Reality and 3D Printing= [Circa August 2019] I am once again considering whether steady improvements in certain di..."