Spherical distribution of 5 points with maximal distance sum
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Publication:542388
DOI10.1007/s00454-010-9307-7zbMath1218.52017OpenAlexW1968794909MaRDI QIDQ542388
Publication date: 10 June 2011
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-010-9307-7
Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Erd?s problems and related topics of discrete geometry (52C10)
Related Items (11)
Newton algorithm on constraint manifolds and the 5-electron Thomson problem ⋮ Five point energy minimization: a synopsis ⋮ Maximal values of symmetric functions in distances between points ⋮ Local critical analysis of inequalities related to the sum of distances between \(n\) points on the unit hemisphere for \(n=4,5\) ⋮ Distributions of points on non-extensible closed curves in \(\mathbb{R}^3\) realizing maximum energies ⋮ Bounds for the sum of distances of spherical sets of small size ⋮ Optimal \(N\)-point configurations on the sphere: ``magic numbers and Smale's 7th problem ⋮ Hilbert's `monkey saddle' and other curiosities in the equilibrium problem of three point particles on a circle for repulsive power law forces ⋮ Distributing many points on spheres: minimal energy and designs ⋮ A mechanical method for isolating locally optimal points of certain radical functions ⋮ Log-optimal (𝑑+2)-configurations in 𝑑–dimensions
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