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 ﬁve objects. So we are led to look for ﬁve geometric objects that are permuted by this rotation group. Finding the ﬁve objects is a perhaps a more subtle...
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- Fall '08
- Algebra, Dodecahedron, Rotation group