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Infinite series of combinatorially regular polyhedra in three-space

โœ Scribed by P. McMullen; E. Schulte; J. M. Wills


Publisher
Springer
Year
1988
Tongue
English
Weight
379 KB
Volume
26
Category
Article
ISSN
0046-5755

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โœฆ Synopsis


The paper discusses polyhedral realizations in ordinary Euclidean 3-space of Coxeter's regular skew polyhedra {4,pl4 tp/21-1} and their duals on an orientable surface of genus 2 v-3 (p -4) + 1. Our considerations are based on work of Coxeter, Ringel and McMuUen et al., revealing that certain polyhedral manifolds discovered by the last three authors are in fact the polyhedra in question. We also describe Kepler-Poinsot-type polyhedra in 3-space obtained by projections from Coxeter's regular skew star-polyhedra in 4 dimensions.


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