Spherical distributions of $N$ points with maximal distance sums are well spaced
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- by Kenneth B. Stolarsky PDF
- Proc. Amer. Math. Soc. 48 (1975), 203-206 Request permission
Abstract:
It is shown that if $N$ points are placed on the unit sphere in Euclidean $3$-space so that the sum of the distances which they determine is maximal, then the distance between any two points is at least $2/3N$. Results for sums of $\lambda$th powers of distances are also given.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 203-206
- MSC: Primary 52A40
- DOI: https://doi.org/10.1090/S0002-9939-1975-0365363-X
- MathSciNet review: 0365363