Constructions of Chiral Polytopes of Small Rank

DOI10.4153/CJM-2011-033-4zbMath1268.51015arXiv1008.1080OpenAlexW2962746633MaRDI QIDQ3102971

Egon Schulte, Gareth A. Jones, Antonio J. Breda d'Azevedo

Publication date: 25 November 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1080

zbMATH Keywords

abstract regular polytopechiral polytopechiral mapschiral maps abstract regular polytope

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetry properties of polytopes (52B15)

Related Items (21)

Symmetry type graphs on 4-orbit maps ⋮ Highly symmetric hypertopes ⋮ Non-flat regular polytopes and restrictions on chiral polytopes ⋮ More on chiral polytopes of type \(\{4,4,\dots,4\}\) with solvable automorphism groups ⋮ Mixing regular convex polytopes ⋮ An exploration of locally spherical regular hypertopes ⋮ Chiral polytopes whose smallest regular cover is a polytope ⋮ Constructing self-dual chiral polytopes ⋮ Three infinite families of chiral 4-polytopes with symmetric automorphism groups ⋮ Two infinite families of chiral polytopes of type {4,4,4} with solvable automorphism groups ⋮ On the Schläfli symbol of chiral extensions of polytopes ⋮ Mixing and monodromy of abstract polytopes ⋮ Open problems on \(k\)-orbit polytopes ⋮ Tight chiral polyhedra ⋮ Abelian covers of chiral polytopes ⋮ Mixing chiral polytopes ⋮ Chiral extensions of chiral polytopes ⋮ Tight chiral polytopes ⋮ Some simplifications of the intersection condition of chiral form for polytopes ⋮ Variance Groups and the Structure of Mixed Polytopes ⋮ Hereditary Polytopes

Uses Software

• GAP

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