This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {99}*198 Also Known As : 99-gon, {99}. if this polytope has another name. Group : SmallGroup(198,3) Rank : 2 Schlafli Type : {99} Number of vertices, edges, etc : 99, 99 Order of s0s1 : 99 Special Properties :
Universal
Spherical
Locally Spherical
Orientable
Self-Dual Related Polytopes : Facet Vertex Figure Dual Facet Of : {99,2} of size 396 {99,4} of size 792 {99,6} of size 1188 {99,4} of size 1584 Vertex Figure Of : {2,99} of size 396 {4,99} of size 792 {6,99} of size 1188 {4,99} of size 1584 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {33}*66
9-fold quotients : {11}*22
11-fold quotients : {9}*18
33-fold quotients : {3}*6 Covers (Minimal Covers in Boldface) :
2-fold covers : {198}*396
3-fold covers : {297}*594
4-fold covers : {396}*792
5-fold covers : {495}*990
6-fold covers : {594}*1188
7-fold covers : {693}*1386
8-fold covers : {792}*1584
9-fold covers : {891}*1782
10-fold covers : {990}*1980 Permutation Representation (GAP) :