AlphaEvolve problems·alphaevolve:41
Points on sphere maximizing the volume
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For any $n \\geq 4$, Let $C(n)$ denote the maximum volume of a polyhedron with $n$ vertices that all lie on the unit sphere $\\mathbb S^2$. What is $C(n)$? Which polyhedra attain the maximum volume?
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qed.bot, “Points on sphere maximizing the volume”, https://qed.bot/t/alphaevolve-41, as of 30 Sep 2026.