MathDB

20

Part of 1982 IMO Longlists

Problems(1)

Interior of one of the regions meets at least three faces

Source: IMO LongList 1982 - P20

3/18/2011
Consider a cube CC and two planes σ,τ\sigma, \tau, which divide Euclidean space into several regions. Prove that the interior of at least one of these regions meets at least three faces of the cube.
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