This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {12,4,2,2}*864
if this polytope has a name. Group : SmallGroup(864,4007) Rank : 5 Schlafli Type : {12,4,2,2} Number of vertices, edges, etc : 27, 54, 9, 2, 2 Order of s0s1s2s3s4 : 6 Order of s0s1s2s3s4s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {12,4,2,2,2} of size 1728 Vertex Figure Of : {2,12,4,2,2} of size 1728 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {4,4,2,2}*288 Covers (Minimal Covers in Boldface) :
2-fold covers : {12,4,2,4}*1728, {12,4,2,2}*1728a Permutation Representation (GAP) :