Improved Dense Packings of Congruent Squares in a Square
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Let sn be the side of the smallest square into which it is possible to pack n congruent squares. In this paper we link sn to the supremum of the maximal inflation Ω (C) of admissible configurations C. The computation and the properties of Ω in a bounded domain. We improve the best known packings of n equal squares for n=11, 29 and 37, and give an alternative optimal packing of 18 squares.
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