Classification of vertex-transitive zonotopes

DOI10.1007/s00454-021-00303-6zbMath1477.52019arXiv1912.10469OpenAlexW3162630559MaRDI QIDQ2665269

Martin Winter

Publication date: 18 November 2021

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10469

zbMATH Keywords

symmetryroot systemsconvex polytopesreflection groupszonotopesvertex-transitivitypermutahedra

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Symmetry properties of polytopes (52B15) Reflection groups, reflection geometries (51F15)

Related Items (2)

Isoperimetric problems for zonotopes ⋮ The edge-transitive polytopes that are not vertex-transitive

Cites Work

• Unnamed Item
• Coxeter arrangements in three dimensions
• Projection volumes of hyperplane arrangements
• Affine symmetries of orbit polytopes
• Symmetry groups of vertex-transitive polytopes
• Wythoff polytopes and low-dimensional homology of Mathieu groups.
• Geometries and Transformations
• Lectures on Polytopes
• Wythoff's Construction for Uniform Polytopes
• On Zonotopes
• Uniform polyhedra
• Reflection groups and invariant theory

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