This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {4,12}*768a
if this polytope has a name. Group : SmallGroup(768,90280) Rank : 3 Schlafli Type : {4,12} Number of vertices, edges, etc : 32, 192, 96 Order of s0s1s2 : 24 Order of s0s1s2s1 : 8 Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable 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 : {4,12}*384a
3-fold quotients : {4,4}*256
4-fold quotients : {4,12}*192a
6-fold quotients : {4,4}*128
8-fold quotients : {4,12}*96a
12-fold quotients : {4,4}*64
16-fold quotients : {2,12}*48, {4,6}*48a
24-fold quotients : {4,4}*32
32-fold quotients : {2,6}*24
48-fold quotients : {2,4}*16, {4,2}*16
64-fold quotients : {2,3}*12
96-fold quotients : {2,2}*8 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :