The properties of mutual arrangements of the sphere in the space (Q1382673)

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scientific article; zbMATH DE number 1135530
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The properties of mutual arrangements of the sphere in the space
scientific article; zbMATH DE number 1135530

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    The properties of mutual arrangements of the sphere in the space (English)
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    1 April 1998
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    The paper is devoted to the study of sphere packings in the three-dimensional Euclidean space. The local combinatorial structure of rigid sphere packing is completely determined. As a consequence, it is shown that there exists a countable family of rigid sphere packings. The density of each packing in the family is equal to the density of face-centered cubic lattices.
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    sphere packing
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    convex polyhedron
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