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From: leech@homer.cs.unc.edu (Jonathan Leech)
Newsgroups: comp.graphics
Subject: Re: recursive sphere tesselation from tetrahedral seed
Message-ID: <3221@borg.cs.unc.edu>
Date: 15 Apr 91 22:39:36 GMT
References: <1991Apr15.171109.2625@rice.edu>
Sender: news@cs.unc.edu
Lines: 21

In article <1991Apr15.171109.2625@rice.edu>, fontenot@comet.rice.edu (Dwayne Jacques Fontenot) writes:
|> I have been playing with recursive triangular sphere tessellations. Starting
|> with an octahedron works beautifully...
|> But, the tetrahedral tessellation is giving me some strange results.
|> My question is this; is there a fundamental problem with starting with a
|> tetrahedron? I cannot think of one... any replies will be greatly appreciated.

    I think it's just a bit odd-looking for the first few levels due
to the odd symmetry of a tetrahedron compared to an octahedron, which
has 3 perpendicular symmetry planes.  It looks fine by the 3rd or 4th
subdivision level.

    While checking this out, I modified my sphereoid generator (the
one mentioned in the FAQ) to start with either tetrahedrons or
octahedrons (somebody was going to contribute an icosahedron but
hasn't yet).  Interested parties can retrieve it by anonymous ftp from
ftp.cs.unc.edu:~pub/sphere.c
--
    Jon Leech (leech@cs.unc.edu)    __@/
    "I met a wonderful new man. He's fictional, but you can't have everything."
	- Cecelia, _The Purple Rose of Cairo_