This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,12,2,3}*1728
if this polytope has a name. Group : SmallGroup(1728,46671) Rank : 5 Schlafli Type : {4,12,2,3} Number of vertices, edges, etc : 12, 72, 36, 3, 3 Order of s0s1s2s3s4 : 12 Order of s0s1s2s3s4s3s2s1 : 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 : {4,6,2,3}*864
4-fold quotients : {4,6,2,3}*432
9-fold quotients : {4,4,2,3}*192
18-fold quotients : {2,4,2,3}*96, {4,2,2,3}*96
36-fold quotients : {2,2,2,3}*48 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :