This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,5}*720 Also Known As : {4,5|5}. if this polytope has another name. Group : SmallGroup(720,764) Rank : 3 Schlafli Type : {4,5} Number of vertices, edges, etc : 72, 180, 90 Order of s0s1s2 : 8 Order of s0s1s2s1 : 5 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable Related Polytopes : Facet Vertex Figure Dual Petrial Halving Operation Facet Of : {4,5,2} of size 1440 Vertex Figure Of : {2,4,5} of size 1440 Quotients (Maximal Quotients in Boldface) :
No Regular Quotients. Covers (Minimal Covers in Boldface) :
2-fold covers : {4,5}*1440, {4,10}*1440e, {4,10}*1440f Permutation Representation (GAP) :