This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {2,8,4}*1152a
if this polytope has a name. Group : SmallGroup(1152,97552) Rank : 4 Schlafli Type : {2,8,4} Number of vertices, edges, etc : 2, 72, 144, 36 Order of s0s1s2s3 : 24 Order of s0s1s2s3s2s1 : 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 : {2,4,4}*576
4-fold quotients : {2,4,4}*288
8-fold quotients : {2,4,4}*144
9-fold quotients : {2,8,4}*128a
18-fold quotients : {2,4,4}*64, {2,8,2}*64
36-fold quotients : {2,2,4}*32, {2,4,2}*32
72-fold quotients : {2,2,2}*16 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :