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Constructions of chiral polytopes of small rank

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

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Submitted date: 26 December 2009
Published date: 25 June 2011
Keywords: abstract regular polytope, chiral polytope, chiral maps


Local EPrints ID: 156481
ISSN: 0008-414X
PURE UUID: 365d786a-eb56-480e-9f2d-06202bd1f304

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Date deposited: 01 Jun 2010 09:36
Last modified: 18 Jul 2017 12:42

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Author: Antonio Breda d'Azevedo
Author: Gareth Jones
Author: Egon Schulte

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