An interesting, detailed article. But what I expected from the title was a mathematical puzzle, something like if you cut a circle into N pieces, what is the smallest square you can fit the pieces into. (Strangely, you can actually make a square out of 10^50 sufficiently crazy pieces: https://en.wikipedia.org/wiki/Tarski%27s_circle-squaring_pro...) I couldn't find anything about this problem, but I found a discussion of the opposite question: what is the largest square you can cover with N pieces of a circle: http://math.stackexchange.com/questions/553571/cutting-up-a-...