MathGroup Archive 1997

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Re: tessalation of a sphere

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9349] Re: tessalation of a sphere
  • From: "Chris Lomont" <clomont at omni.cc.purdue.edu>
  • Date: Sat, 1 Nov 1997 03:33:35 -0500
  • Organization: Izi Wa Computer Misc
  • Sender: owner-wri-mathgroup at wolfram.com

I. Inanc Tarhan wrote in message <62pedv$acs at smc.vnet.net>...
>
>Hi all,
>
>Would anybody have information on, or pointers to the subject of
>representing 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.
>
>Any good ways of doing this with Mathematice?


I think the only solutions are the Platonic solids, and these are
included in one of the standard packages you received with Mathematica.
Thus you have a tetrahedron, octahedron, and icosahedron.


Chris Lomont



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