The densest packing of equal circles into a parallel strip (Q756140)

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scientific article; zbMATH DE number 4190578
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The densest packing of equal circles into a parallel strip
scientific article; zbMATH DE number 4190578

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    The densest packing of equal circles into a parallel strip (English)
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    1991
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    Given an infinite strip S of width w in the euclidean plane one can ask for the densest packing of points in S for which any two distinct points have distance at least 1. The exact answer has been known for \(\omega\leq \sqrt{2}\) and for \(w=n\sqrt{3}/2\) with n an integer. The author determines the maximal density for the case \(\sqrt{3}/2<w\leq \sqrt{3}\).
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    circle packings
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    infinite strip
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    densest packing
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    maximal density
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