Constructing Self-Dual Chiral Polytopes

Details Constructing Self-Dual Chiral Polytopes Constructing Self-Dual Chiral Polytopes

2011-11-18

arxiv.org/abs/1111.4496v1

Mathematics

Combinatorics

16 pages

Scientific paper

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.

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