This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {12,2,9,2,2}*1728
if this polytope has a name. Group : SmallGroup(1728,30763) Rank : 6 Schlafli Type : {12,2,9,2,2} Number of vertices, edges, etc : 12, 12, 9, 9, 2, 2 Order of s0s1s2s3s4s5 : 36 Order of s0s1s2s3s4s5s4s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of :
None in this Atlas Vertex Figure Of :
None in this Atlas Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {6,2,9,2,2}*864
3-fold quotients : {4,2,9,2,2}*576, {12,2,3,2,2}*576
4-fold quotients : {3,2,9,2,2}*432
6-fold quotients : {2,2,9,2,2}*288, {6,2,3,2,2}*288
9-fold quotients : {4,2,3,2,2}*192
12-fold quotients : {3,2,3,2,2}*144
18-fold quotients : {2,2,3,2,2}*96 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :