Abstract
Abstract Data on mF , the average number of faces in cells adjacent to cells with F faces, obtained by Kumar, Kurtz, Banavas and Sharma in 1992 for a three-dimensional (3D) Poisson-Voronoi partition can be fitted to a linear relation with 1/F. This suggests that Aboav's rule, valid for two-dimensional networks, is likely to be also of general applicability to 3D random tetravalent networks, for example polycrystals and soap froths.
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