Twisted honeycombs \(\{\) 3,5,3\(\}\) , and their groups
type: Item
instance of: scholarly article
title: Twisted honeycombs \(\{\) 3,5,3\(\}\) , and their groups
zbMATH Open document ID: 0566.51019
DOI: 10.1007/BF00151504
author: H. S. M. Coxeter
author: Asia Ivić Weiss
published in: Geometriae Dedicata
publication date: 1984-01-01T00:00:00Z
review text: A honeycomb of type \(\{\) 3,5,3\(\}\) is finite when it has Petrie polygons of length 4,6,7 or 9. In these cases its group of automorphisms is isomorphic to PSL(2,9), PSL(2,11)\(\times {\mathfrak C}_ 2\), PSL(2,29) or PSL(2,19). Its edges and faces are incident in a manner indicated by the vertices of a bipartite graph of girth 8 (in the first case) or 10, whose group is PGL(2,9), PGL(2,11)\(\times {\mathfrak C}_ 2\), PSL(2,29)\(\times {\mathfrak C}_ 2\) or PGL(2,19), respectively.
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 51M10
Mathematics Subject Classification ID: 51M20
zbMATH DE Number: 3903442
zbMATH Keywords: twisted honeycombs of type \(\{\) 3,5,3\(\}\)
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3903442