This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {82}*164 Also Known As : 82-gon, {82}. if this polytope has another name. Group : SmallGroup(164,4) Rank : 2 Schlafli Type : {82} Number of vertices, edges, etc : 82, 82 Order of s0s1 : 82 Special Properties :
Universal
Spherical
Locally Spherical
Orientable
Self-Dual Related Polytopes : Facet Vertex Figure Dual Facet Of : {82,2} of size 328 {82,4} of size 656 {82,6} of size 984 {82,8} of size 1312 {82,10} of size 1640 {82,12} of size 1968 Vertex Figure Of : {2,82} of size 328 {4,82} of size 656 {6,82} of size 984 {8,82} of size 1312 {10,82} of size 1640 {12,82} of size 1968 Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {41}*82
41-fold quotients : {2}*4 Covers (Minimal Covers in Boldface) :
2-fold covers : {164}*328
3-fold covers : {246}*492
4-fold covers : {328}*656
5-fold covers : {410}*820
6-fold covers : {492}*984
7-fold covers : {574}*1148
8-fold covers : {656}*1312
9-fold covers : {738}*1476
10-fold covers : {820}*1640
11-fold covers : {902}*1804
12-fold covers : {984}*1968 Permutation Representation (GAP) :