This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {6,12,2,6}*1728d
if this polytope has a name. Group : SmallGroup(1728,47874) Rank : 5 Schlafli Type : {6,12,2,6} Number of vertices, edges, etc : 6, 36, 12, 6, 6 Order of s0s1s2s3s4 : 6 Order of s0s1s2s3s4s3s2s1 : 2 Special Properties :
Degenerate
Universal
Non-Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of :
None in this Atlas Vertex Figure Of :
None in this Atlas Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {6,12,2,3}*864d
3-fold quotients : {6,4,2,6}*576b, {6,12,2,2}*576d
6-fold quotients : {3,4,2,6}*288, {6,4,2,3}*288b
9-fold quotients : {6,4,2,2}*192b
12-fold quotients : {3,4,2,3}*144
18-fold quotients : {3,4,2,2}*96 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :