This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {20,4}*720
if this polytope has a name. Group : SmallGroup(720,784) Rank : 3 Schlafli Type : {20,4} Number of vertices, edges, etc : 90, 180, 18 Order of s0s1s2 : 30 Order of s0s1s2s1 : 6 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable Related Polytopes : Facet Vertex Figure Dual Petrial Skewing Operation Facet Of : {20,4,2} of size 1440 Vertex Figure Of : {2,20,4} of size 1440 Quotients (Maximal Quotients in Boldface) :
5-fold quotients : {4,4}*144
10-fold quotients : {4,4}*72
18-fold quotients : {10,2}*40
36-fold quotients : {5,2}*20
90-fold quotients : {2,2}*8 Covers (Minimal Covers in Boldface) :
2-fold covers : {20,4}*1440 Permutation Representation (GAP) :