This preview shows page 1. Sign up to view the full content.
Unformatted text preview: tries. Now considering that the rotation groups of the smaller regular polyhedra are A 4 and S 4 , and suspecting that there ought to be a lot of regularity in this subject, we might guess that the rotation group of the dodecahedron is isomorphic to the group A 5 of even permutations of ve objects. So we are led to look for ve geometric objects that are permuted by this rotation group. Finding the ve objects is a perhaps a more subtle...
View Full Document
- Fall '08