This page is part of the Atlas of Small Regular Polytopes Atlas Canonical Name : {9,2,27}*972
if this polytope has a name. Group : SmallGroup(972,106) Rank : 4 Schlafli Type : {9,2,27} Number of vertices, edges, etc : 9, 9, 27, 27 Order of s0s1s2s3 : 27 Order of s0s1s2s3s2s1 : 2 Special Properties :
Degenerate
Universal
Orientable
Flat Related Polytopes : Facet Vertex Figure Dual Facet Of : {9,2,27,2} of size 1944 Vertex Figure Of : {2,9,2,27} of size 1944 Quotients (Maximal Quotients in Boldface) :
3-fold quotients : {9,2,9}*324, {3,2,27}*324
9-fold quotients : {3,2,9}*108, {9,2,3}*108
27-fold quotients : {3,2,3}*36 Covers (Minimal Covers in Boldface) :
2-fold covers : {9,2,54}*1944, {18,2,27}*1944 Permutation Representation (GAP) :