This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {6,9,2}*864
if this polytope has a name. Group : SmallGroup(864,3998) Rank : 4 Schlafli Type : {6,9,2} Number of vertices, edges, etc : 24, 108, 36, 2 Order of s0s1s2s3 : 36 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {6,9,2,2} of size 1728 Vertex Figure Of : {2,6,9,2} of size 1728 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {6,3,2}*288
4-fold quotients : {6,9,2}*216
9-fold quotients : {6,3,2}*96
12-fold quotients : {2,9,2}*72, {6,3,2}*72
18-fold quotients : {3,3,2}*48
36-fold quotients : {2,3,2}*24 Covers (Minimal Covers in Boldface) :
2-fold covers : {12,9,2}*1728, {6,18,2}*1728 Permutation Representation (GAP) :