This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {2,12,6}*864h
if this polytope has a name. Group : SmallGroup(864,4686) Rank : 4 Schlafli Type : {2,12,6} Number of vertices, edges, etc : 2, 36, 108, 18 Order of s0s1s2s3 : 4 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {2,12,6,2} of size 1728 Vertex Figure Of : {2,2,12,6} of size 1728 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {2,4,6}*288
6-fold quotients : {2,4,6}*144
27-fold quotients : {2,4,2}*32
54-fold quotients : {2,2,2}*16 Covers (Minimal Covers in Boldface) :
2-fold covers : {2,12,12}*1728i, {2,24,6}*1728g, {4,12,6}*1728p Permutation Representation (GAP) :