This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {10,5}*500
if this polytope has a name. Group : SmallGroup(500,27) Rank : 3 Schlafli Type : {10,5} Number of vertices, edges, etc : 50, 125, 25 Order of s0s1s2 : 10 Order of s0s1s2s1 : 10 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable
Self-Petrie Related Polytopes : Facet Vertex Figure Dual Petrial Facet Of : {10,5,2} of size 1000 Vertex Figure Of : {2,10,5} of size 1000 {4,10,5} of size 2000 Quotients (Maximal Quotients in Boldface) :
5-fold quotients : {10,5}*100
25-fold quotients : {2,5}*20 Covers (Minimal Covers in Boldface) :
2-fold covers : {10,10}*1000b
3-fold covers : {10,15}*1500e
4-fold covers : {10,20}*2000a, {20,10}*2000c Permutation Representation (GAP) :