Twisted honeycombs {3, 5, 3} t and their groups |
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| Authors: | H. S. M. Coxeter Asia Ivić Weiss |
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| Affiliation: | (1) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Ontario, Canada |
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| Abstract: | 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)× 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)×2, PSL(2, 29)×2 or PGL(2, 19), respectively. |
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