Packing unequal disks in the Euclidean plane

05/22/2023

∙

A packing of disks in the plane is a set of disks with disjoint interiors. This paper is a survey of some open questions about such packings. It is organized into five themes: compacity, conjugacy, density, uniformity and computability.

READ FULL TEXT

Packing unequal disks in the Euclidean plane

Density of Binary Compact Disc Packings

On the density of sets of the Euclidean plane avoiding distance 1

The optimal packing of eight points in the real projective plane

Density of triangulated ternary disc packings

Towards Additively Manufactured Metamaterials with Powder Inclusions for Controllable Dissipation: The Critical Influence of Packing Density

On packing time-respecting arborescences

Exact Line Packings from Numerical Solutions

Packing unequal disks in the Euclidean plane

Related Research

Density of Binary Compact Disc Packings

On the density of sets of the Euclidean plane avoiding distance 1

The optimal packing of eight points in the real projective plane

Density of triangulated ternary disc packings

Towards Additively Manufactured Metamaterials with Powder Inclusions for Controllable Dissipation: The Critical Influence of Packing Density

On packing time-respecting arborescences

Exact Line Packings from Numerical Solutions