This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {2,6,6,12}*1728h
if this polytope has a name. Group : SmallGroup(1728,47874) Rank : 5 Schlafli Type : {2,6,6,12} Number of vertices, edges, etc : 2, 6, 18, 36, 12 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) :
3-fold quotients : {2,2,6,12}*576d, {2,6,6,4}*576f
6-fold quotients : {2,6,3,4}*288
9-fold quotients : {2,2,6,4}*192b
18-fold quotients : {2,2,3,4}*96 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :