Squaring the square

"Squaring the square" refers to a mathematical problem in tiling, specifically involving the arrangement of squares within a square. The challenge is to subdivide a larger square into smaller squares, all of different sizes, such that there are no gaps or overlaps. The most famous solution to this problem was found by the mathematician Henry Dudeney in 1907. He created a square that was subdivided into 36 smaller squares, all of which were of distinct sizes.