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Regular 4-polytopes related to general orthogonal groups

Part of: Real and complex geometry

Published online by Cambridge University Press:  26 February 2010

B. Monson  and
Asia Ivić Weiss
B. Monson
Affiliation:
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada, E3B 5A3.
Asia Ivić Weiss
Affiliation:
Department of Mathematics, York University, 4700 Keele St., North York, Ontario, Canada, M3J 1P3.
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Abstract

For each odd prime p there is a finite regular abstract 4-dimensional polytope of type {3, 3, p}. Its cells are simplices, and its vertex figures belong to an infinite family of regular polyhedra. We also give a geometric realization for these polytopes.

MSC classification

Secondary: 51M20: Polyhedra and polytopes; regular figures, division of spaces
Type
Research Article
Information
Mathematika , Volume 37 , Issue 1 , June 1990 , pp. 106 - 118
Copyright
Copyright © University College London 1990

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