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Experimental Study of Energy-Minimizing Point Configurations on Spheres

Experimental Study of Energy-Minimizing Point Configurations on Spheres

In this paper we report on massive computer experiments aimed at finding spherical point configurations that minimize potential energy. We present experimental evidence for two new universal optima (consisting of 40 points in 10 dimensions and 64 points in 14 dimensions), as well as evidence that there are no others …