This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {3,6,6}*1944c
if this polytope has a name. Group : SmallGroup(1944,2342) Rank : 4 Schlafli Type : {3,6,6} Number of vertices, edges, etc : 9, 81, 162, 18 Order of s0s1s2s3 : 6 Order of s0s1s2s3s2s1 : 6 Special Properties :
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of :
None in this Atlas Vertex Figure Of :
None in this Atlas Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {3,6,6}*648c, {3,6,6}*648e
9-fold quotients : {3,6,6}*216a, {3,6,2}*216, {3,6,6}*216b
18-fold quotients : {3,6,3}*108
27-fold quotients : {3,2,6}*72, {3,6,2}*72
54-fold quotients : {3,2,3}*36
81-fold quotients : {3,2,2}*24 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :