[r-t] Star polyhedra

Philip Saddleton pabs at cantab.net
Fri Apr 11 17:24:42 UTC 2008

Mark Davies wrote:
> But what about the Star polyhedra...
Those where the symmetry group or rotation group is sharply vertex 
transitive can be considered as Cayley graphs: pick a vertex as the 
identity, and the edges emanating from it represent the rotation or 
reflection that takes that vertex to the one at the opposite end of the 
edge. There is a trivial representation as permutations of the vertices, 
but you are probably looking for a smaller set. For those with 60 
vertices and the same symmetry as the truncated icosahedron, use the 
five tetrahedra or six diagonals I mentioned earlier. I'll leave you to 
work out the details.


More information about the ringing-theory mailing list