Polytopes for Group SmallGroup(1800,678)

This page is part of the Atlas of Small Regular Polytopes
Nondegenerate Polytopes :
  1. {6,10,15}*1800
  2. {6,15,10}*1800
  3. {10,6,15}*1800
  4. {10,15,6}*1800
  5. {15,6,10}*1800
  6. {15,10,6}*1800
  7. {30,30}*1800a
  8. {30,30}*1800b
  9. {30,30}*1800c
  10. {30,30}*1800d
  11. {30,30}*1800e
  12. {30,30}*1800f


Degenerate Polytopes :
  1. {3,2,5,2,15}*1800
  2. {3,2,10,15}*1800
  3. {3,2,15,2,5}*1800
  4. {3,2,15,10}*1800
  5. {5,2,3,2,15}*1800
  6. {5,2,6,15}*1800
  7. {5,2,15,2,3}*1800
  8. {5,2,15,6}*1800
  9. {6,15,2,5}*1800
  10. {10,15,2,3}*1800
  11. {15,2,3,2,5}*1800
  12. {15,2,5,2,3}*1800
  13. {15,6,2,5}*1800
  14. {15,10,2,3}*1800



Other Groups of Order 1800 :
  1. SmallGroup(1800,27) 1 nondegenerate polytope and 0 degenerate polytopes.
  2. SmallGroup(1800,41) 2 nondegenerate polytopes and 0 degenerate polytopes.
  3. SmallGroup(1800,45) 2 nondegenerate polytopes and 10 degenerate polytopes.
  4. SmallGroup(1800,49) 0 nondegenerate polytopes and 5 degenerate polytopes.
  5. SmallGroup(1800,226) 2 nondegenerate polytopes and 0 degenerate polytopes.
  6. SmallGroup(1800,229) 4 nondegenerate polytopes and 7 degenerate polytopes.
  7. SmallGroup(1800,246) 4 nondegenerate polytopes and 14 degenerate polytopes.
  8. SmallGroup(1800,276) 4 nondegenerate polytopes and 8 degenerate polytopes.
  9. SmallGroup(1800,292) 2 nondegenerate polytopes and 0 degenerate polytopes.
  10. SmallGroup(1800,296) 4 nondegenerate polytopes and 7 degenerate polytopes.
  11. SmallGroup(1800,317) 4 nondegenerate polytopes and 14 degenerate polytopes.
  12. SmallGroup(1800,562) 8 nondegenerate polytopes and 6 degenerate polytopes.
  13. SmallGroup(1800,575) 14 nondegenerate polytopes and 12 degenerate polytopes.
  14. SmallGroup(1800,586) 6 nondegenerate polytopes and 12 degenerate polytopes.
  15. SmallGroup(1800,664) 3 nondegenerate polytopes and 0 degenerate polytopes.
  16. SmallGroup(1800,678) 12 nondegenerate polytopes and 14 degenerate polytopes (this group).
  17. SmallGroup(1800,681) 2 nondegenerate polytopes and 0 degenerate polytopes.
  18. SmallGroup(1800,736) 3 nondegenerate polytopes and 9 degenerate polytopes.