MathDB
ASU 530 All Soviet Union MO 1990 million unit cubes, lattice, decompose

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August 14, 2019
combinatoricscombinatorial geometrylattice points

Problem Statement

A cube side 100100 is divided into a million unit cubes with faces parallel to the large cube. The edges form a lattice. A prong is any three unit edges with a common vertex. Can we decompose the lattice into prongs with no common edges?