Journal
EXPERIMENTAL MATHEMATICS
Volume 18, Issue 3, Pages 257-283Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/10586458.2009.10129052
Keywords
Energy minimization; polytopes; universal optimality
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [SCHU 1503/4-1]
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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.
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