Constructing self-dual chiral polytopes

Authors:
Gabe Cunningham
Affiliations:
-
Venue:
European Journal of Combinatorics
Year:
2012

Citing 3
Cited 0

Chirality and projective linear groups

Discrete Mathematics
Self-duality of chiral polytopes

Journal of Combinatorial Theory Series A
Regular maps and hypermaps of Euler characteristic -1 to -200

Journal of Combinatorial Theory Series B

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Abstract

An abstract polytope is chiral if its automorphism group has two orbits on the flags, such that adjacent flags belong to distinct orbits. There are still few examples of chiral polytopes, and few constructions that can create chiral polytopes with specified properties. In this paper, we show how to build self-dual chiral polytopes using the mixing construction for polytopes.