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For the maths lovers, Tsutomu Higo just added nice pages about polyhedra
and about meshes on his site.
http://www.asahi-net.or.jp/~nj2t-hg/ilpov30e.htm (polyhedra)
http://www.asahi-net.or.jp/~nj2t-hg/ilpov29e.htm (meshes)
Below is a render of one of the polyhedra scenes (source is on Tsutomu's
site), a simple and beautiful image IMHO.
G.
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This is a very nice rendition. I've always loved polyhedra. A long time ago I
made an include file for some of the stellated icosahedra, it has an array for
all the points of intersection, an array for all the triangles describing
which points they use, and arrays for each stellation describing which
triangles are used. A macro is passed that last array and arranges the
polyhedron mesh.
If you didn't know, the polygons in each plane of a stellated icosahedra are
defined by the lines where other planes of the icosahedron intersects that
plane. It's interesting, if you make the side lengths of the base icosahedron
one, then lots of "special" numbers pop up; side lengths of phi, sqrt(2),
phi+1, phi+2, angles of acos(1/4), and probably lots more.
--
David Fontaine <dav### [at] faricy net> ICQ 55354965
My raytracing gallery: http://davidf.faricy.net/
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