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A constraint on the random packing of disks

Part of: Discrete geometry

Published online by Cambridge University Press:  14 July 2016

Richard Cowan
Richard Cowan*
Affiliation:
University of Hong Kong
*
∗ Postal address: Department of Statistics, University of Hong Kong, Pokfulam Road, Hong Kong.
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Abstract

This paper addresses random packing of equal-sized disks in a manner such that no disk has a gap on its circumference large enough to accommodate an extra touching neighbour. This structure generalises the deterministic packing models discussed in classical geometry (Coxeter (1961), Hilbert and Cohn-Vossen (1952)). Relationships with the dual mosaic formed by joining the centres of touching disks are established. Constraints on the neighbourhood of disks and on the packing density are established.

Keywords

TESSELLATIONSMOSAICS

MSC classification

Primary: 52C15: Packing and covering in $2$ dimensions
Type
Short Communications
Information
Journal of Applied Probability , Volume 30 , Issue 1 , March 1993 , pp. 263 - 268
Copyright
Copyright © Applied Probability Trust 1993 

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References

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