Chiral extensions of chiral polytopes

2013/07/26 by Gabe Cunningham, Cunningham, Gabe, Daniel Pellicer +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1307.7007

openalex publication_date 2013/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is finite. We provide explicit examples of chiral 4-polytopes constructed in this way from chiral toroidal maps.

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• Symmetric polytopes whose automorphism groups are 2-groups

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