Maximal volume enclosed by plates and proof of the chessboard conjecture

DOI10.1016/0012-365X(86)90006-3zbMath0611.52012WikidataQ122963128 ScholiaQ122963128MaRDI QIDQ1087146

János Pach, Imre Bárány, Endre jun. Makai, Károly Böröczky

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

densitychessboard conjecturelattice arrangements of convex bodies

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40) Lattices and convex bodies (number-theoretic aspects) (11H06)

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Cites Work

• The symmetry function in a convex body
• Five-neighbour packing of convex discs
• Zusammenhängende Lagerungen konvexer Körper
• Der zentralsymmetrische Kern und die zentralsymmetrische Hülle von konvexen Körpern
• On the density of a connected lattice of convex bodies
• Surface Area. (AM-35)
• Convex Bodies Associated with a Given Convex Body
• The Isoperimetric Problem for Minkowski Area
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