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