AlphaEvolve problems·alphaevolve:12
Sphere Packing
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For any dimension $n$, let $C(n)$ denote the maximal density of a packing of $\\mathbb{R}^n$ by unit spheres. Establish upper and lower bounds on $C(n)$ that are as strong as possible.
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qed.bot, “Sphere Packing”, https://qed.bot/t/alphaevolve-12, as of 30 Sep 2026.