This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {6,12}*1296t
if this polytope has a name. Group : SmallGroup(1296,3529) Rank : 3 Schlafli Type : {6,12} Number of vertices, edges, etc : 54, 324, 108 Order of s0s1s2 : 12 Order of s0s1s2s1 : 6 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 : {6,4}*432b, {6,12}*432i
6-fold quotients : {6,12}*216c
9-fold quotients : {6,12}*144a, {6,4}*144
18-fold quotients : {6,4}*72, {6,6}*72a
27-fold quotients : {2,12}*48, {6,4}*48a
54-fold quotients : {2,6}*24, {6,2}*24
81-fold quotients : {2,4}*16
108-fold quotients : {2,3}*12, {3,2}*12
162-fold quotients : {2,2}*8 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :