Optimal packings of 13 and 46 unit squares in a square (Q1960280)

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scientific article; zbMATH DE number 5799454
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Optimal packings of 13 and 46 unit squares in a square
scientific article; zbMATH DE number 5799454

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    Optimal packings of 13 and 46 unit squares in a square (English)
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    13 October 2010
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    Summary: Let \(s(n)\) be the side length of the smallest square into which \(n\) non-overlapping unit squares can be packed. We show that \(s(m^2 - 3) = m\) for \(m = 4, 7\), implying that the most efficient packings of 13 and 46 squares are the trivial ones.
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