Mixing Chiral Polytopes

Details Mixing Chiral Polytopes Mixing Chiral Polytopes

2011-11-03

arxiv.org/abs/1111.0701v1

Mathematics

Combinatorics

Scientific paper

10.1007/s10801-011-0335-z

An abstract polytope of rank n is said to be chiral if its automorphism group has two orbits on the flags, such that adjacent flags belong to distinct orbits. Examples of chiral polytopes have been difficult to find. A "mixing" construction lets us combine polytopes to build new regular and chiral polytopes. By using the chirality group of a polytope, we are able to give simple criteria for when the mix of two polytopes is chiral.

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