Density of binary disc packings: the nine compact packings

DOI10.1007/s00454-021-00348-7zbMath1493.52018arXiv2002.07168OpenAlexW4206911496MaRDI QIDQ2118217

Nicolas Bédaride, Thomas Fernique

Publication date: 22 March 2022

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07168

zbMATH Keywords

circle packingdensitycompact packingcomputer assisted prooftriangulated packingbinary packing

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15)

Related Items (2)

Density of triangulated ternary disc packings ⋮ Density of binary disc packings: playing with stoichiometry

Uses Software

• SageMath
• kepler98

Cites Work

• Compact packings of the plane with two sizes of discs
• Some densest two-size disc packings in the plane
• Bounds for local density of sphere packings and the Kepler conjecture
• Compact packings of the plane with three sizes of discs
• A proof of the Kepler conjecture
• Über die dichteste Kugellagerung
• ON THE DENSEST PACKIN OF DISCS OF RADIUS 1 AND .2 -1
• Unterdeckung und Überdeckung der Ebene durch Kreise Dem Andenken an Professor H. L. Schmid gewidmet
• Unnamed Item
• Unnamed Item

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