Groups of Size 360

This page is part of the Atlas of Small Regular Polytopes
8 groups yielding 23 nondegenerate and 42 degenerate polytopes.

Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 20 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 2 nondegenerate and 15 degenerate.
Rank 5 Polytopes : 0 nondegenerate and 22 degenerate.
Rank 6 Polytopes : 0 nondegenerate and 3 degenerate.

Groups :
  1. SmallGroup(360,27) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(360,41) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(360,45) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(360,49) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(360,121) 8 nondegenerate polytopes and 6 degenerate polytopes.
  6. SmallGroup(360,134) 2 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(360,137) 4 nondegenerate polytopes and 7 degenerate polytopes.
  8. SmallGroup(360,154) 4 nondegenerate polytopes and 14 degenerate polytopes.