This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,12,2}*864a
if this polytope has a name. Group : SmallGroup(864,4007) Rank : 4 Schlafli Type : {4,12,2} Number of vertices, edges, etc : 18, 108, 54, 2 Order of s0s1s2s3 : 6 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {4,12,2,2} of size 1728 Vertex Figure Of : {2,4,12,2} of size 1728 Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {4,12,2}*432
3-fold quotients : {4,4,2}*288
6-fold quotients : {4,4,2}*144
54-fold quotients : {2,2,2}*16 Covers (Minimal Covers in Boldface) :
2-fold covers : {4,12,4}*1728b, {4,12,2}*1728a Permutation Representation (GAP) :