Petrie-Coxeter Maps Revisited

Details Petrie-Coxeter Maps Revisited Petrie-Coxeter Maps Revisited

2005-12-07

arxiv.org/abs/math/0512157v1

Mathematics

Metric Geometry

15 pages. Contributions to Algebra and Geometry, to appear

Scientific paper

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.

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