Abstract
We give upper bounds for the density of unit ball packings relative to their outer parallel domains and discuss their connection to contact numbers. We also introduce packings of soft balls and give upper bounds for the fraction of space covered by them.
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Bezdek, K., Lángi, Z. Density bounds for outer parallel domains of unit ball packings. Proc. Steklov Inst. Math. 288, 209–225 (2015). https://doi.org/10.1134/S0081543815010162
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DOI: https://doi.org/10.1134/S0081543815010162