Polytopes for Group SmallGroup(1080,57)

This page is part of the Atlas of Small Regular Polytopes
Nondegenerate Polytopes :
  1. {10,54}*1080
  2. {54,10}*1080


Degenerate Polytopes :
  1. {2,5,2,27}*1080
  2. {2,27,2,5}*1080
  3. {5,2,2,27}*1080
  4. {5,2,27,2}*1080
  5. {5,2,54}*1080
  6. {10,2,27}*1080
  7. {27,2,2,5}*1080
  8. {27,2,5,2}*1080
  9. {27,2,10}*1080
  10. {54,2,5}*1080



Other Groups of Order 1080 :
  1. SmallGroup(1080,27) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1080,53) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1080,57) 2 nondegenerate polytopes and 10 degenerate polytopes (this group).
  4. SmallGroup(1080,61) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(1080,263) 6 nondegenerate polytopes and 6 degenerate polytopes.
  6. SmallGroup(1080,283) 6 nondegenerate polytopes and 0 degenerate polytopes.
  7. SmallGroup(1080,286) 4 nondegenerate polytopes and 10 degenerate polytopes.
  8. SmallGroup(1080,287) 4 nondegenerate polytopes and 8 degenerate polytopes.
  9. SmallGroup(1080,335) 4 nondegenerate polytopes and 14 degenerate polytopes.
  10. SmallGroup(1080,336) 2 nondegenerate polytopes and 10 degenerate polytopes.
  11. SmallGroup(1080,337) 8 nondegenerate polytopes and 12 degenerate polytopes.
  12. SmallGroup(1080,528) 2 nondegenerate polytopes and 0 degenerate polytopes.
  13. SmallGroup(1080,539) 7 nondegenerate polytopes and 11 degenerate polytopes.