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, pp. 1254-1283. (doi:10.4153/CJM-2011-033-4).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.4153/CJM-2011-033-4
ISSNs: 0008-414X (print)
Keywords: abstract regular polytope, chiral polytope, chiral maps
Subjects: Q Science > QA Mathematics
ePrint ID: 156481
Date :
Date Event
26 December 2009Submitted
25 June 2011Published
Date Deposited: 01 Jun 2010 09:36
Last Modified: 18 Apr 2017 04:01
Further Information:Google Scholar

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