On the radial ratio in dense mixed sphere packings (Q1892789)

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scientific article; zbMATH DE number 767413
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On the radial ratio in dense mixed sphere packings
scientific article; zbMATH DE number 767413

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    On the radial ratio in dense mixed sphere packings (English)
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    25 June 1995
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    Extending results of \textit{S. Vassallo} and \textit{J. M. Wills} [ibid. 35, No. 1, 67-71 (1994; Zbl 0806.52019)] the author constructs packings of balls in \(\mathbb{E}^ 3\) of two radii, 1 and \(r<1\), with density higher than the sphere lattice packing density \(\delta^ 3= \pi/ \sqrt {18}\) for every \(r\) in the interval \((0\cdot 482 \ldots, 0\cdot 577 \ldots)\).
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    dense packings of balls
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    sphere lattice packing
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