Talk:Omnitruncated polyhedron

Latest comment: 12 years ago by Tomruen in topic Should we give the degenerate forms?

[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

Should we give the degenerate forms?

edit