High Quality Content by WIKIPEDIA articles! In combinatorial geometry, the Hadwiger conjecture states that any convex body in n-dimensional Euclidean space can be covered by 2n or fewer smaller bodies homothetic with to the original, and that furthermore, the upper bound of 2n is necessary iff the body is a parallelpiped. There also exists an equivalent formulation in terms of the number of floodlights needed to illuminate the body.

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