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Jigsaw puzzles are typically labeled with their finished area and number ofpieces. With this information, is it possible to estimate the area required tolay each piece flat before assembly? We derive a simple formula based ontwo-dimensional circular packing and show that the unassembled puzzle area is$\sqrt{3}$ times the assembled puzzle area, independent of the number ofpieces. We perform measurements on 9 puzzles ranging from 333 cm$^2$ (9 pieces)to 6798 cm$^2$ (2000 pieces) and show that the formula accurately predictsrealistic assembly scenarios.

How big a table do you need for your jigsaw puzzle?