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16 1x3 to cover 3 sides of cube - All-Russian MO 1997 Regional (R4) 10.4

Source:

September 24, 2024
combinatoricscombinatorial geometrygeometry3D geometry

Problem Statement

Given a cube with a side of 44. Is it possible to completely cover 33 of its faces, which have a common vertex, with sixteen rectangular paper strips measuring 1×31 \times3?