[r-t] Star polyhedra

Mark Davies mark at snowtiger.net
Wed Apr 9 22:46:59 UTC 2008

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

Ah, I think you were thinking just of the regular star polyhedra, aka
Kepler-Poinsot polyhedra - there are only four of these. But the faces don't
all have to be the same, since all we need is the vertices to be transitive.
There are quite a few uniform nonconvex non-regular polyhedra - 54 or so I
think - only some of which are edge & vertex equivalent to convex forms.


More information about the ringing-theory mailing list