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A short analytic proof of Fejes Tóth's theorem on sums of moments

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Publication:1818262
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DOI10.1007/s000100050116zbMath1006.52015OpenAlexW2074092396WikidataQ125875257 ScholiaQ125875257MaRDI QIDQ1818262

Peter M. Gruber

Publication date: 4 January 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050116


zbMATH Keywords

discrete geometrysums of momentsDirichlet-Voronoi cellsregular hexagonal arrangements


Mathematics Subject Classification ID

Quasicrystals and aperiodic tilings in discrete geometry (52C23)


Related Items (8)

Optimum quantization and its applications ⋮ An isoperimetric inequality for an integral operator on flat tori ⋮ Obtuse triangle suppression in anisotropic meshes ⋮ Asymptotic optimality of the triangular lattice for a class of optimal location problems ⋮ Optimality of the triangular lattice for a particle system with Wasserstein interaction ⋮ Approximation of convex sets by polytopes ⋮ Bounds on the geometric complexity of optimal centroidal Voronoi tesselations in 3D ⋮ A Simple Geometric Method for Navigating the Energy Landscape of Centroidal Voronoi Tessellations




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