This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {8,2,27}*864
if this polytope has a name. Group : SmallGroup(864,126) Rank : 4 Schlafli Type : {8,2,27} Number of vertices, edges, etc : 8, 8, 27, 27 Order of s0s1s2s3 : 216 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {8,2,27,2} of size 1728 Vertex Figure Of : {2,8,2,27} of size 1728 Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {4,2,27}*432
3-fold quotients : {8,2,9}*288
4-fold quotients : {2,2,27}*216
6-fold quotients : {4,2,9}*144
9-fold quotients : {8,2,3}*96
12-fold quotients : {2,2,9}*72
18-fold quotients : {4,2,3}*48
36-fold quotients : {2,2,3}*24 Covers (Minimal Covers in Boldface) :
2-fold covers : {16,2,27}*1728, {8,2,54}*1728 Permutation Representation (GAP) :