olymmath

OBM 2005 Problem 3

    A square is contained in a cube when all of its points are in the faces or in the interior of the cube. Determine the biggest ℓ>0\ell > 0 such that there exists a square of side ℓ\ell contained in a cube with edge 11 .

    Dataset text AI-MO AoPS. Quoted with source.

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