Constructions of chiral polytopes of small rank

Breda d'Azevedo, Antonio, Jones, Gareth and Schulte, Egon (2011) Constructions of chiral polytopes of small rank. Canadian Journal of Mathematics, 63, 1254-1283. (doi:10.4153/CJM-2011-033-4).

Record type: Article

Abstract

An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbits on the flags, such that adjacent flags belong to distinct orbits. The present paper describes a general method for deriving new finite chiral polytopes from old finite chiral polytopes of the same rank. In particular, the technique is used to construct many new examples in ranks 3, 4 and 5.

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Submitted date: 26 December 2009

Published date: 25 June 2011

Keywords: abstract regular polytope, chiral polytope, chiral maps

Identifiers

Local EPrints ID: 156481

URI: http://eprints.soton.ac.uk/id/eprint/156481

DOI: doi:10.4153/CJM-2011-033-4

ISSN: 0008-414X

PURE UUID: 365d786a-eb56-480e-9f2d-06202bd1f304

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Date deposited: 01 Jun 2010 09:36

Last modified: 14 Mar 2024 01:43

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Contributors

Author: Antonio Breda d'Azevedo

Author: Gareth Jones

Author: Egon Schulte

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