Petrie-Coxeter Maps Revisited

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This paper presents a technique for constructing new chiral or regular polyhedra (or maps) from self-dual abstract chiral polytopes of rank 4. From improperly self-dual chiral polytopes we derive "Petrie-Coxeter-type" polyhedra (abstract chiral analogues of the classical Petrie-Coxeter polyhedra) and investigate their groups of automorphisms.
15 pages. Contributions to Algebra and Geometry, to appear

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Metric Geometry, Combinatorics, 51M20

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http://salesiana.dossiersoluciones.com/handle/123456789/106129

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512157
 http://arxiv.org/abs/math/0512157

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arXiv