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Squaring the square with integer linear programming

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arxiv 1401.6387 v1 pith:ZLLGMQXR submitted 2014-01-24 math.OC

classification math.OC
keywords integerlinearsquaresquaringalgorithmsalternativeapproachconsider
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We consider so-called squaring the square-puzzles where a given square (or rectangle) should be dissected into smaller squares. For a specific instance of such problems we demonstrate that a mathematically rigorous solution can be quite involved. As an alternative to exhaustive enumeration using tailored algorithms we describe the general approach of formulating the problem as an integer linear program.

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