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(353) 2

Part of 1992 Tournament Of Towns

Problems(1)

TOT 353 1992 Autumn A S2 bw coloring of nxnxn coube

Source:

6/10/2024
For which values of nn is it possible to construct an nn by nn by nn cube with n3n^3 unit cubes, each of which is black or white, such that each cube shares a common face with exactly three cubes of the opposite colour?
(S Tokarev)
combinatoricscombinatorial geometryColoring