We have $n$ points on the unit circle. What is the best configuration if we want to maximize the sum of the pairwise distances of the given points?
2025-01-13 02:40:24.1736736024
Points on the circle
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One can find the answer in
L. Fejes Tóth, "On the sum of distances determined by a pointset", Acta Math. Acad. Sci. Hungar., 7:397–401, 1956.
Cheers, Z