In a recent post by James Buddenhagen, Interlocking Triangles,
http://news.povray.org/povray.binaries.images/thread/%3C42115821%40news.povray.org%3E/
(I still find those triangles incredibly cool. . . .) I mentioned that
it reminded me of the cuboctahedra I had been playing with (although I
didn't know that's what they were called.) My "amazing discovery" that
rotating out the faces of a cube by 45 degrees, or of an octahedron by
60 degrees, produces a cuboctahedron, was of course neither amazing nor
a discovery (to anyone but me.) According to MathWorld, this process is
called "snubification," which is a generalization of polyhedral
expansion. See:
http://mathworld.wolfram.com/Expansion.html
So, this got me playing around with other "snubifications." Here are
two examples, snubifying a tetrahedron to produce an octahedron, and
snubifying a cube to produce a snub cube.
More examples are posted here:
http://www.mnwest.edu/website/dmatthews/Explorations/Snub01.htm
Dave Matthews
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