Geodesic
Spontaneous Patterns in Disk Packings
Using a computational procedure that imitates tightening of an assembly of billiard balls, we have generated a number of packings of n equal and non-equal disks in regions of various shapes for n in the range 10 to 10,000. Our experiments revealed various geometric patterns and regular features, including polycrystalline textures with "rattlers'' typically trapped along the grain boundaries. We also observed series of packings with similar patterns for n taking on increasing sequences of values, n = n(1), n(2),... n(k),....
Classification : 52C15 
@article{VM_2001_3_1_a2,
     author = {Boris D. Lubachevsky and Ron L. Graham and Frank H. Stillinger},
     title = {Spontaneous {Patterns} in {Disk} {Packings}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2001_3_1_a2/}
}
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AU  - Ron L. Graham
AU  - Frank H. Stillinger
TI  - Spontaneous Patterns in Disk Packings
JO  - Visual Mathematics
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VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VM_2001_3_1_a2/
LA  - en
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%A Ron L. Graham
%A Frank H. Stillinger
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%D 2001
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%N 1
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Boris D. Lubachevsky; Ron L. Graham; Frank H. Stillinger. Spontaneous Patterns in Disk Packings. Visual Mathematics, Tome 3 (2001) no. 1. http://geodesic.mathdoc.fr/item/VM_2001_3_1_a2/