Non-flat regular polytopes and restrictions on chiral polytopes

zbMath1372.52013arXiv1706.00940MaRDI QIDQ2409823

Gabe Cunningham

Publication date: 16 October 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00940

zbMATH Keywords

abstract regular polytopeflat polytopetight polytopechiral polytope

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)

Related Items (5)

Rotary one-facet maniplexes ⋮ Stratified operations on maniplexes ⋮ Chiral polytopes whose smallest regular cover is a polytope ⋮ Tight chiral polytopes ⋮ Some simplifications of the intersection condition of chiral form for polytopes

Cites Work

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• Abelian covers of chiral polytopes
• A construction of higher rank chiral polytopes
• The smallest regular polytopes of given rank
• Chiral extensions of chiral polytopes
• An atlas of small regular abstract polytopes
• Minimal equivelar polytopes
• Constructions of Chiral Polytopes of Small Rank
• Abstract Regular Polytopes
• Developments and open problems on chiral polytopes
• The smallest chiral 6-polytopes
• Constructions for chiral polytopes

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