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Extremum problems for zonotopes

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Publication:1106474
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DOI10.1007/BF00181491zbMath0651.52011OpenAlexW2041633391MaRDI QIDQ1106474

Paul Filliman

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181491

zbMATH Keywords

maximizing the volumeorthogonal projection of a unit n-cubezonotope (with n zones) in Euclidean space \(R^ d\)


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)


Related Items

An isoperimetric problem for three-dimensional parallelohedra, The largest projections of regular polytopes, A metrical characterization of symmetric polytopes, Isoperimetric problems for zonotopes, Exterior algebra and projection of polytopes, On the choice of the low-dimensional domain for global optimization via random embeddings, Approximation of a ball by zonotopes using uniform distribution on the sphere, Tight frames and related geometric problems, Minimal-volume projections of cubes and totally unimodular matrices



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