Journal of Algebraic Combinatorics

, Volume 36, Issue 2, pp 263–277 | Cite as

Mixing chiral polytopes

  • Gabe CunninghamEmail author


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.


Abstract regular polytope Chiral polytope Chiral maps Chirality group 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsNortheastern UniversityBostonUSA

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