MathDB
1x2x2 in 20x20x20

Source: 2011 Cuba MO 1.2

September 18, 2024
geometry3D geometrycombinatoricscombinatorial geometry

Problem Statement

A cube of dimensions 20×20×2020 \times 20 \times 20 is constructed with blocks of 1×2×21 \times 2 \times 2. Prove that there is a line that passes through the cube but not any block.
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