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