Frankl, PeterPach, Janos2019-06-182019-06-182019-06-182018-01-0110.20382/jocg.v9i1a13https://infoscience.epfl.ch/handle/20.500.14299/157255WOS:000457039000007It 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.MathematicsdecompositionA Stability Theorem On Cube Tessellationstext::journal::journal article::research article