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SIMULTANEOUS PACKING AND COVERING IN THREE–DIMENSIONAL EUCLIDEAN SPACE
Published online by Cambridge University Press: 25 March 2003
Abstract
It is proved that the simultaneous lattice packing and lattice covering constant of every three-dimensional centrally symmetric convex body is less than or equal to 7/4. Consequently, for any three-dimensional convex body K there is a corresponding lattice packing in which no extra translate of K can be added.
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- The London Mathematical Society, 2003
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