Spherical distributions of 𝑁 points with maximal distance sums are well spaced

Stolarsky, Kenneth B.

doi:10.1090/S0002-9939-1975-0365363-X

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.

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