This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {2,4,12}*864b
if this polytope has a name. Group : SmallGroup(864,4686) Rank : 4 Schlafli Type : {2,4,12} Number of vertices, edges, etc : 2, 18, 108, 54 Order of s0s1s2s3 : 6 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {2,4,12,2} of size 1728 Vertex Figure Of : {2,2,4,12} of size 1728 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {2,4,4}*288
6-fold quotients : {2,4,4}*144
18-fold quotients : {2,2,6}*48
36-fold quotients : {2,2,3}*24
54-fold quotients : {2,2,2}*16 Covers (Minimal Covers in Boldface) :
2-fold covers : {2,4,12}*1728d, {4,4,12}*1728c Permutation Representation (GAP) :