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cond-mat.stat-mech2005★ 1 cited
Planar Voronoi cells and the failure of Aboav's law
Hendrik-Jan Hilhorst
Aboav's law is a quantitative expression of the empirical fact that in planar cellular structures many-sided cells tend to have few-sided neighbors. This law is nonetheless violate…
cond-mat.stat-mech2005★ 17 cited
Asymptotic statistics of the n-sided planar Poisson-Voronoi cell. I. Exact results
Hendrik-Jan Hilhorst
We achieve a detailed understanding of the -sided planar Poisson-Voronoi cell in the limit of large . Let be the probability for a cell to have sides. We constru…