This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {18,4}*1296b
if this polytope has a name. Group : SmallGroup(1296,2908) Rank : 3 Schlafli Type : {18,4} Number of vertices, edges, etc : 162, 324, 36 Order of s0s1s2 : 36 Order of s0s1s2s1 : 6 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable Related Polytopes : Facet Vertex Figure Dual Petrial Skewing Operation Facet Of :
None in this Atlas Vertex Figure Of :
None in this Atlas Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {6,4}*432b
9-fold quotients : {18,4}*144a, {6,4}*144
18-fold quotients : {18,2}*72, {6,4}*72
27-fold quotients : {6,4}*48a
36-fold quotients : {9,2}*36
54-fold quotients : {6,2}*24
81-fold quotients : {2,4}*16
108-fold quotients : {3,2}*12
162-fold quotients : {2,2}*8 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :