Compact packings of the plane with three sizes of discs

DOI10.1007/s00454-019-00166-yzbMath1471.52016arXiv1810.02231OpenAlexW2950362087WikidataQ126347849 ScholiaQ126347849MaRDI QIDQ2046442

Amir Hashemi, Olga Sizova, Thomas Fernique

Publication date: 18 August 2021

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

Full work available at URL: https://arxiv.org/abs/1810.02231

zbMATH Keywords

circle packingcompact packingtriangulated packing

Mathematics Subject Classification ID

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

Related Items (3)

Density of triangulated ternary disc packings ⋮ The number of configurations of radii that can occur in compact packings of the plane with discs of \(n\) sizes is finite ⋮ Density of binary disc packings: the nine compact packings

Uses Software

• FGb
• SageMath
• SINGULAR
• kepler98

Cites Work

• Compact packings of the plane with two sizes of discs
• Some densest two-size disc packings in the plane
• Compact packings of space with two sizes of spheres
• On compact packings of the plane with circles of three radii
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• A proof of the Kepler conjecture
• Undecidability and nonperiodicity for tilings of the plane
• Über die dichteste Kugellagerung
• ON THE DENSEST PACKIN OF DISCS OF RADIUS 1 AND .2 -1
• Using Algebraic Geometry
• Compact Packings of the Plane with Three Sizes of Discs
• FGb: A Library for Computing Gröbner Bases
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