Talk:Omnitruncated polyhedron

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Polyhedra

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[Untitled][edit]

These forms can't really be called omnitruncated since they are not really Wythoffian polyhedra, i.e. don't have simple (p q r) Wythoff symbols (3 mirrors). Coxeter does group them together in the 1954 paper as "even-sided" along with the Omnitruncated forms. Tom Ruen (talk) 06:51, 4 March 2010 (UTC)[reply]

Other even-sided nonconvex polyhedra[edit]

There are 7 nonconvex forms with mixed Wythoff symbols p q (r s) |, and bow-tie shaped vertex figures, 2p.2q.-2q.-2p.

Omnitruncated polyhedron	Image	Original polyhedron	Image
Small rhombihexahedron		Octahedron
Great rhombihexahedron
Small rhombidodecahedron		Great dodecahedron
Small dodecicosahedron
Rhombicosahedron		Great icosahedron
Great dodecicosahedron
Great rhombidodecahedron