[r-t] Methods as polyhedra

[Mark Davies]

Pabs asks,

> Aren't the graphs of these isomorphic to the icosohedron or dodecahedron?

No - some are isomorphic to simpler convex polyhedra, e.g. the nonconvex
tetrahemihexahedron is edge and vertex equivalent to the regular
octahedron - and some appear not to be isomorphic to any uniform convex
polyhedron at all: for example Wikipedia tells me that the "great
dirhombicosidodecahedron" is edge and vertex equivalent to the "compound of
twenty tetrahemihexahedra" which is a uniform polyhedral compound, not a
uniform polyhedron.

<http://en.wikipedia.org/wiki/Great_dirhombicosidodecahedron>

And then there is the "great disnub dirhombidodecahedron", which apparently
is even weirder... but still has a useful 60 vertices.

MBD