Spherical distribution of 5 points with maximal distance sum
From MaRDI portal
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the sum of distances along a circle
- Sums of distances between points of a sphere
- Unsolved problems in geometry
- The second and the third smallest distances on the sphere
- Generalized sums of distances
- The sum of the distances to certain pointsets on the unit circle
- The sum of the distances to N points on a sphere
- Distributing many points on a sphere
- Extremal dispositions of the points on the sphere
- Mathematical problems for the next century
- Discrete logarithmic energy on the sphere.
- A note on a question due to A. Garsia
- On the sum of distances determined by a pointset
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- Universally optimal distribution of points on spheres
- Spherical Distributions of N Points with Maximal Distance Sums are well Spaced
- On the sum of distances betweenn points on a sphere. II
- Optimizing the Arrangement of Points on the Unit Sphere
- Positive Definiteness and Stability of Interval Matrices
- Inequalities for Sums of Distances
- Distributing Points on the Sphere, I
- Sums of Distances Between Points on a Sphere. II
- The Five-Electron Case of Thomson’s Problem
- Some geometric extremal problems
- Sums of Distances Between Points on a Sphere
- On the sum of distances betweenn points on a sphere
This page was built for publication: Spherical distribution of 5 points with maximal distance sum