I recently stumbled across the Partridge Puzzle invented by mathematician Robert T. Wainwright. Consider a collection of square tiles, the smallest of which is 1 unit by 1 unit in size (and there is one of them) and the largest of which is N units by N units in size (and there are N of them). The total area of all the tiles would be 1x(1×1) + 2x(2×2) + … + Nx(NxN). That sum of cubes […]