Is it possible to divide the unit square onto infinitely many rectangles of dimensions $\frac{1}{x_n}\times\frac{1}{y_n}$ where $(x_n),(y_n)$ are increasing sequences of integers?
2026-03-28 13:11:08.1774703468
dividing unit square onto infinitely many rectangles
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This paper shows that all these rectangles can be packed into a square of side $133/132$ and states that the question of whether they can be packed into the unit square is open.