This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {12,2,21}*1008
if this polytope has a name. Group : SmallGroup(1008,782) Rank : 4 Schlafli Type : {12,2,21} Number of vertices, edges, etc : 12, 12, 21, 21 Order of s0s1s2s3 : 84 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
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 : {6,2,21}*504
3-fold quotients : {12,2,7}*336, {4,2,21}*336
4-fold quotients : {3,2,21}*252
6-fold quotients : {6,2,7}*168, {2,2,21}*168
7-fold quotients : {12,2,3}*144
9-fold quotients : {4,2,7}*112
12-fold quotients : {3,2,7}*84
14-fold quotients : {6,2,3}*72
18-fold quotients : {2,2,7}*56
21-fold quotients : {4,2,3}*48
28-fold quotients : {3,2,3}*36
42-fold quotients : {2,2,3}*24 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :