This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,9}*648
if this polytope has a name. Group : SmallGroup(648,703) Rank : 3 Schlafli Type : {4,9} Number of vertices, edges, etc : 36, 162, 81 Order of s0s1s2 : 9 Order of s0s1s2s1 : 12 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Non-Orientable Related Polytopes : Facet Vertex Figure Dual Petrial Halving Operation Facet Of : {4,9,2} of size 1296 Vertex Figure Of : {2,4,9} of size 1296 Quotients (Maximal Quotients in Boldface) :
27-fold quotients : {4,3}*24 Covers (Minimal Covers in Boldface) :
2-fold covers : {4,9}*1296b, {4,18}*1296c, {4,18}*1296d
3-fold covers : {4,9}*1944 Permutation Representation (GAP) :