This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {36,2,5}*720
if this polytope has a name. Group : SmallGroup(720,136) Rank : 4 Schlafli Type : {36,2,5} Number of vertices, edges, etc : 36, 36, 5, 5 Order of s0s1s2s3 : 180 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {36,2,5,2} of size 1440 Vertex Figure Of : {2,36,2,5} of size 1440 Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {18,2,5}*360
3-fold quotients : {12,2,5}*240
4-fold quotients : {9,2,5}*180
6-fold quotients : {6,2,5}*120
9-fold quotients : {4,2,5}*80
12-fold quotients : {3,2,5}*60
18-fold quotients : {2,2,5}*40 Covers (Minimal Covers in Boldface) :
2-fold covers : {72,2,5}*1440, {36,2,10}*1440 Permutation Representation (GAP) :