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