This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {6,2,4,6}*864
if this polytope has a name. Group : SmallGroup(864,4686) Rank : 5 Schlafli Type : {6,2,4,6} Number of vertices, edges, etc : 6, 6, 6, 18, 9 Order of s0s1s2s3s4 : 12 Order of s0s1s2s3s4s3s2s1 : 2 Special Properties :
Degenerate
Universal
Non-Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {6,2,4,6,2} of size 1728 Vertex Figure Of : {2,6,2,4,6} of size 1728 Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {3,2,4,6}*432
3-fold quotients : {2,2,4,6}*288 Covers (Minimal Covers in Boldface) :
2-fold covers : {12,2,4,6}*1728, {6,4,4,6}*1728a, {6,2,4,6}*1728 Permutation Representation (GAP) :