This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {6,18}*1944q
if this polytope has a name. Group : SmallGroup(1944,2344) Rank : 3 Schlafli Type : {6,18} Number of vertices, edges, etc : 54, 486, 162 Order of s0s1s2 : 6 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 : {6,18}*648d, {6,6}*648f
6-fold quotients : {6,9}*324b
9-fold quotients : {6,6}*216a, {6,6}*216d
18-fold quotients : {6,3}*108
27-fold quotients : {6,6}*72a, {6,6}*72b, {6,6}*72c
54-fold quotients : {3,6}*36, {6,3}*36
81-fold quotients : {2,6}*24, {6,2}*24
162-fold quotients : {2,3}*12, {3,2}*12
243-fold quotients : {2,2}*8 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :