Abstract:The first 195 spherical codes for the global minima of 1-65 points on S2 have been obtained for 3 types of potentials: logarithmic −log(r), Coulomb −1/r, called the Thomson problem, and the inverse square law −1/r 2 , with 77, 38, and 38 digits precision respectively.It was discovered that certain point sets have embedded polygonal structures, constraining the points, enabling them to be parameterized and to successfully recover the algebraic polynomial.So far 49 algebraic number sets have been recovered, but … Show more
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