Some simplifications of the intersection condition of chiral form for polytopes

DOI10.1142/S0219498819502037zbMath1426.52006WikidataQ129037040 ScholiaQ129037040MaRDI QIDQ5235378

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Publication date: 10 October 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

chiral polytopesintersection conditiondirectly regular polytopes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Algebraic aspects of posets (06A11) Symmetry properties of polytopes (52B15) Group actions on combinatorial structures (05E18)

Related Items (2)

More on chiral polytopes of type \(\{4,4,\dots,4\}\) with solvable automorphism groups ⋮ Three infinite families of chiral 4-polytopes with symmetric automorphism groups

Uses Software

• Magma

Cites Work

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• The intersection condition for regular polytopes
• Mixing regular convex polytopes
• Abelian covers of chiral polytopes
• A construction of higher rank chiral polytopes
• The Magma algebra system. I: The user language
• The smallest regular polytopes of given rank
• Non-flat regular polytopes and restrictions on chiral polytopes
• Minimal equivelar polytopes
• Constructions of Chiral Polytopes of Small Rank
• Abstract Regular Polytopes
• Two atlases of abstract chiral polytopes for small groups
• The smallest chiral 6-polytopes
• Constructions for chiral polytopes

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