MathGroup Archive 1997

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RE: sphere tesselation with Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9333] RE: [mg9270] sphere tesselation with Mathematica
  • From: jmthomas <jmthomas at cybercable.tm.fr>
  • Date: Sat, 1 Nov 1997 03:33:21 -0500
  • Sender: owner-wri-mathgroup at wolfram.com

There are very few platonic solids, the one and only solution to your =
problem (sphere tesselation with equilateral triangles) is the =
dodecahedron.

-----Message d'origine-----
De:	I. Inanc Tarhan [SMTP:tarhan at piranha.cis.upenn.edu] Date:	lundi 27
octobre 1997 08:47
=C0:	mathgroup at smc.vnet.net
Objet:	[mg9270] sphere tesselation with Mathematica


I was wondering if I can solve the following problem easily with
Mathematica. I am trying to represent a sphere as a number of
equidistantly spaced points on its surface (i.e., if you can fold open
the sphere without any distortions, the points will be hexagonally
"close" packed)?  Specifically, I am trying to represent the surface of
a sphere as a collection of identical equilateral triangles.

Thanks

Inanc




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