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Article Dans Une Revue Discrete and Computational Geometry Année : 2022

Density of Binary Disc Packings: The 9 Compact Packings

Thomas Fernique
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Résumé

A disc packing in the plane is compact if its contact graph is a triangulation. There are 9 values of r such that a compact packing by discs of radii 1 and r exists. We prove, for each of these 9 values, that the maximal density over all the packings by discs of radii 1 and r is reached for a compact packing (we give it as well as its density).
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hal-03171545 , version 1 (17-03-2021)

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Nicolas Bedaride, Thomas Fernique. Density of Binary Disc Packings: The 9 Compact Packings. Discrete and Computational Geometry, 2022, ⟨10.1007/s00454-021-00348-7⟩. ⟨hal-03171545⟩
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