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It is well known that the two-dimensional Poisson-Voronoi tesselation does not conform to the Aboav-Weaire law for the average number of sides for the neighbours of an n-sided cell. We offer a variant of Weaire's original derivation which takes into account certain features of this type of pattern, and results in a different form of the law, which is similar to that found from computer simulation.
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Kumar et al. (1994) studied this question.
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