Squaring the Square with Integer Linear Programming
Sascha Kurz · Journal of Information Processing · 2012
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.