Spherical Distributions of N Points with Maximal Distance Sums are well Spaced

DOI10.2307/2040718zbMath0295.52007OpenAlexW4236181227MaRDI QIDQ4048167

Kenneth B. Stolarsky

Publication date: 1975

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2040718

Mathematics Subject Classification ID

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

Related Items (9)

Geometric methods in the study of irregularities of distribution ⋮ Local diameters of compact planar sets ⋮ The Stolarsky principle and energy optimization on the sphere ⋮ STOLARSKY'S INVARIANCE PRINCIPLE FOR FINITE METRIC SPACES ⋮ Spherical basis functions and uniform distribution of points on spheres ⋮ Optimal \(N\)-point configurations on the sphere: ``magic numbers and Smale's 7th problem ⋮ Spherical distribution of 5 points with maximal distance sum ⋮ On the sum of distances betweenn points on a sphere. II ⋮ Hilbert's `monkey saddle' and other curiosities in the equilibrium problem of three point particles on a circle for repulsive power law forces

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