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Build bigger cube

Source: 63 Polish MO 2012 Finals - Problem 2

April 23, 2018
3D geometrycombinatoricsPolandcubegeometry

Problem Statement

Determine all pairs (m,n)(m, n) of positive integers, for which cube KK with edges of length nn, can be build in with cuboids of shape m×1×1m \times 1 \times 1 to create cube with edges of length n+2n + 2, which has the same center as cube KK.
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