Math Puzzle: Construct a Sq.

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Divide this determine into three elements that may be organized right into a sq.. The elements should not be folded over to make their present again the entrance, they need to not overlap, and there should not be any gaps within the sq..

For simplicity, let’s assume that the small squares have a facet size of 1. The determine consists of 25 small squares, so the total closing sq. should have a facet size of 5. On this case, 5 × 5 small squares can be found, however there is no such thing as a appropriate technique to separate them alongside the grid strains. The directions, nevertheless, don’t forbid cuts that don’t run alongside the sq. grid. Utilizing the Pythagorean theorem, one can affirm that the 2 diagonal cuts beneath have a size of 5.

The irregular shape is divided into three pieces using diagonal cuts, and the pieces are rearranged to form a square.

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This puzzle initially appeared in Spektrum der Wissenschaft and was reproduced with permission.

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