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 with at most 64 points. We also describe several other
new polytopes, and we present new geometrical descriptions of some
of the known universal optima.
Publié le : 2009-05-15
Classification:
Energy minimization,
polytopes,
universal optimality,
52B11,
52C17,
52-04
@article{1259158465,
author = {Ballinger, Brandon and Blekherman, Grigoriy and Cohn, Henry and Giansiracusa, Noah and Kelly, Elizabeth and Sch\"urmann, Achill},
title = {Experimental Study of Energy-Minimizing Point Configurations on Spheres},
journal = {Experiment. Math.},
volume = {18},
number = {1},
year = {2009},
pages = { 257-283},
language = {en},
url = {http://dml.mathdoc.fr/item/1259158465}
}
Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill. Experimental Study of Energy-Minimizing Point Configurations on Spheres. Experiment. Math., Tome 18 (2009) no. 1, pp. 257-283. http://gdmltest.u-ga.fr/item/1259158465/