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A Counterexample to the Exact Eight-Point Angular-Energy Conjecture

Zhao, Jinze
arXiv (All) · Papers
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optimization-and-control
We give an exact counterexample to the eight-point angular-energy conjecture stated by Mouchet in 2005 and published in 2006. The conjecture specifies both a radical value for the global maximum and a square antiprism with unit-side horizontal squares separated by $h_0=\sqrt{1+2\sqrt{2}}/2$. We prov
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