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Publication
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It is shown that if a d-dimensional cube is decomposed into n cubes, the side lengths of which belong to the interval (1 - n1/d+1; 1], then n is a perfect d-th power and all cubes are of the same size. This result is essentially tight.
Cécile Hébert, Duncan Alexander, Nathanaël Perraudin, Hui Chen
Anthony Christopher Davison, Timmy Rong Tian Tse