Illumination complexes, \(\varDelta\)-zonotopes, and the polyhedral curtain theorem

DOI10.1016/j.comgeo.2014.10.003zbMath1305.52018arXiv1307.5138OpenAlexW2963694025MaRDI QIDQ482345

Rade T. Živaljević

Publication date: 23 December 2014

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5138

zbMATH Keywords

zonotopefair divisionillumination complexessplitting necklaces

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Cyclohedron and Kantorovich-Rubinstein polytopes ⋮ Measure partitions using hyperplanes with fixed directions ⋮ A survey of mass partitions ⋮ Another ham sandwich in the plane

Cites Work

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• A course in topological combinatorics
• Generalized sandwich theorems
• Lectures on Polytopes
• Inscribing cubes and covering by rhombic dodecahedra via equivariant topology
• Tverberg partitions and Borsuk-Ulam theorems.
• Notes on the topological Tverberg theorem

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