Constructing self-dual chiral polytopes

DOI10.1016/j.ejc.2012.03.031zbMath1246.51014arXiv1111.4496OpenAlexW2158239390MaRDI QIDQ427823

Gabe Cunningham

Publication date: 18 June 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4496

zbMATH Keywords

self-dualitychiralityabstract polytoperegular polytope

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)

Related Items (2)

Open problems on \(k\)-orbit polytopes ⋮ Variance Groups and the Structure of Mixed Polytopes

Cites Work

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• A construction of higher rank chiral polytopes
• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• Chirality and projective linear groups
• Parallel products in groups and maps
• The mix of a regular polytope with a face
• Totally chiral maps and hypermaps of small genus
• Self-duality of chiral polytopes
• Constructions of Chiral Polytopes of Small Rank
• Abstract Regular Polytopes
• Constructions for chiral polytopes

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