This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {35,2,12}*1680
if this polytope has a name. Group : SmallGroup(1680,797) Rank : 4 Schlafli Type : {35,2,12} Number of vertices, edges, etc : 35, 35, 12, 12 Order of s0s1s2s3 : 420 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 : {35,2,6}*840
3-fold quotients : {35,2,4}*560
4-fold quotients : {35,2,3}*420
5-fold quotients : {7,2,12}*336
6-fold quotients : {35,2,2}*280
7-fold quotients : {5,2,12}*240
10-fold quotients : {7,2,6}*168
14-fold quotients : {5,2,6}*120
15-fold quotients : {7,2,4}*112
20-fold quotients : {7,2,3}*84
21-fold quotients : {5,2,4}*80
28-fold quotients : {5,2,3}*60
30-fold quotients : {7,2,2}*56
42-fold quotients : {5,2,2}*40 Covers (Minimal Covers in Boldface) :
None in this atlas. Permutation Representation (GAP) :