This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {2,12,4}*432
if this polytope has a name. Group : SmallGroup(432,530) Rank : 4 Schlafli Type : {2,12,4} Number of vertices, edges, etc : 2, 27, 54, 9 Order of s0s1s2s3 : 6 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {2,12,4,2} of size 864 Vertex Figure Of : {2,2,12,4} of size 864 {3,2,12,4} of size 1296 {4,2,12,4} of size 1728 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {2,4,4}*144 Covers (Minimal Covers in Boldface) :
2-fold covers : {2,12,4}*864a
3-fold covers : {2,12,12}*1296
4-fold covers : {4,12,4}*1728a, {2,12,4}*1728a Permutation Representation (GAP) :