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A density bound for efficient packings of 3-space with centrally symmetric convex bodies
Published online by Cambridge University Press: 26 February 2010
Abstract
It is shown that every compact convex set K which is centrally symmetric and has a non-empty interior admits a packing of Euclidean 3-space with density at least 0.46421 … The best such bound previously known is 0.30051 … due to the theorem of Minkowski-Hlawka. It is probable that there is such a lower bound which is significantly greater than the one shown in this note, since there is a packing of congruent spheres which has density
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- Copyright © University College London 1999
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