Publication
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 Thomas Lindsay Alexander, Nathanaël Perraudin, Hui Chen
Anthony Christopher Davison, Timmy Rong Tian Tse