Uneven splitting of ham sandwiches

DOI10.1007/s00454-009-9161-7zbMath1197.52005arXiv0807.2839OpenAlexW3104730718MaRDI QIDQ972599

Felix Breuer

Publication date: 21 May 2010

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

Full work available at URL: https://arxiv.org/abs/0807.2839

zbMATH Keywords

separabilityhyperplanesham sandwich theoremPoincaré-Miranda theorempartitions of masses

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (4)

Cutting the same fraction of several measures ⋮ The hamburger theorem ⋮ A stronger conclusion to the classical ham sandwich theorem ⋮ Generalizing the Poincaré-Miranda theorem: the avoiding cones condition

Cites Work

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• Partitions of mass-distributions and of convex bodies by hyperplanes
• On the equipartition of plane convex bodies and convex polygons
• On the geometric dilation of closed curves, graphs, and point sets
• Bisections and ham-sandwich cuts of convex polygons and polyhedra
• A generalization of the ham sandwich theorem
• Tverberg's conjecture
• Generalizing ham sandwich cuts to equitable subdivisions
• Equipartition of mass distributions by hyperplanes
• Generalized sandwich theorems
• Leftovers from the Ham Sandwich Theorem
• An Extension of the Ham Sandwich Theorem
• Partitioning with two lines in the plane
• The Poincare-Miranda Theorem
• The Early History of the Ham Sandwich Theorem
• A Theorem on General Measure
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
• Simultaneous partitions of measures by \(k\)-fans
• Conical equipartitions of mass distributions

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