This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {12,9}*1296b
if this polytope has a name. Group : SmallGroup(1296,1788) Rank : 3 Schlafli Type : {12,9} Number of vertices, edges, etc : 72, 324, 54 Order of s0s1s2 : 6 Order of s0s1s2s1 : 12 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable Related Polytopes : Facet Vertex Figure Dual Petrial Facet Of :
None in this Atlas Vertex Figure Of :
None in this Atlas Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {12,3}*432
4-fold quotients : {6,9}*324c
9-fold quotients : {12,3}*144
12-fold quotients : {6,3}*108
27-fold quotients : {4,3}*48
36-fold quotients : {6,3}*36
54-fold quotients : {4,3}*24
108-fold quotients : {2,3}*12 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :