This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,30}*720
if this polytope has a name. Group : SmallGroup(720,784) Rank : 3 Schlafli Type : {4,30} Number of vertices, edges, etc : 12, 180, 90 Order of s0s1s2 : 20 Order of s0s1s2s1 : 6 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable Related Polytopes : Facet Vertex Figure Dual Facet Of : {4,30,2} of size 1440 Vertex Figure Of : {2,4,30} of size 1440 Quotients (Maximal Quotients in Boldface) :
5-fold quotients : {4,6}*144
9-fold quotients : {4,10}*80
10-fold quotients : {4,6}*72
18-fold quotients : {2,10}*40
36-fold quotients : {2,5}*20
45-fold quotients : {4,2}*16
90-fold quotients : {2,2}*8 Covers (Minimal Covers in Boldface) :
2-fold covers : {4,60}*1440, {8,30}*1440 Permutation Representation (GAP) :