Spontaneous Patterns in Disk Packings

Year: 1998 Authors: Boris D. Lubachevsky; Ron L. Graham; Frank H. Stillinger

Core claim

Disk packings produced by simulated expansion exhibit systematic pattern families and boundary-localized irregularities that vary with expansion rate and container shape.

Topics

dense circle packing, computational geometry, polycrystalline textures, frustrated packings

Domains

circle packing, combinatorial geometry, discrete optimization, visualization, pattern formation, geometric aesthetics

Methods

billiards simulation, computer-generated packings, randomized initial conditions, density comparison

Media

equal disks, non-equal disks, square and circle regions, periodic boundary conditions

Source status

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