Abstract
Monte Carlo simulation studies of hard-core disks are used to generate Voronoi edge-length and cell-area statistics of non-Poisson point tesselations. The well-established empirical relationship, which seems to hold for most networks, that the average number of sides of neighbors of n-sided cells m n = 6 − a + (6 a + c)/ n is verified for hard-disk systems with packing fractions ranging from 0.49 to 0.82. The results presented here are consistent with c = μ 2 but not with a = 6 α. The cell-area distributions for these systems, and in particular the γ-quantiles A 5 and A 95, are compared with recently published data for hard-core systems with packing fractions up to 0.22.
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