AlphaEvolve problems·alphaevolve:64
The three-dimensional moving sofa problem with two perpendicular turns
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Define $C$ to be the largest volume of a connected bounded subset $S_3$ of $\\R^3$ that can continuously pass through a three-dimensional snake-shaped corridor with a unit square cross-section, consisting of two turns in the $x-y$ and $y-z$ planes that are far apart. What is $C$?
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qed.bot, “The three-dimensional moving sofa problem with two perpendicular turns”, https://qed.bot/t/alphaevolve-64, as of 30 Sep 2026.