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arxiv: 1811.03983 · v1 · pith:RTLN2H24new · submitted 2018-11-09 · 🧮 math.MG · math.CO

On a relation between packing and covering densities of convex bodies

classification 🧮 math.MG math.CO
keywords admitsconvexcoveringpackingtranslativebodiesbodydense
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We show that a convex body admits a translative dense packing in $\mathbb{R}^d$ if and only if it admits a translative economical covering.

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