This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {76}*152 Also Known As : 76-gon, {76}. if this polytope has another name. Group : SmallGroup(152,5) Rank : 2 Schlafli Type : {76} Number of vertices, edges, etc : 76, 76 Order of s0s1 : 76 Special Properties :
Universal
Spherical
Locally Spherical
Orientable
Self-Dual Related Polytopes : Facet Vertex Figure Dual Facet Of : {76,2} of size 304 {76,4} of size 608 {76,6} of size 912 {76,6} of size 912 {76,8} of size 1216 {76,8} of size 1216 {76,4} of size 1216 {76,6} of size 1368 {76,10} of size 1520 {76,12} of size 1824 {76,6} of size 1824 Vertex Figure Of : {2,76} of size 304 {4,76} of size 608 {6,76} of size 912 {6,76} of size 912 {8,76} of size 1216 {8,76} of size 1216 {4,76} of size 1216 {6,76} of size 1368 {10,76} of size 1520 {12,76} of size 1824 {6,76} of size 1824 Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {38}*76
4-fold quotients : {19}*38
19-fold quotients : {4}*8
38-fold quotients : {2}*4 Covers (Minimal Covers in Boldface) :
2-fold covers : {152}*304
3-fold covers : {228}*456
4-fold covers : {304}*608
5-fold covers : {380}*760
6-fold covers : {456}*912
7-fold covers : {532}*1064
8-fold covers : {608}*1216
9-fold covers : {684}*1368
10-fold covers : {760}*1520
11-fold covers : {836}*1672
12-fold covers : {912}*1824
13-fold covers : {988}*1976 Permutation Representation (GAP) :