APPLICABILITY OF ABOAV RULE TO A 3-DIMENSIONAL VORONOI PARTITION

Data on m(F), the average number of faces in cells adjacent to cells w ith 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 t wo-dimensional networks, is likely to be also of general applicability to 3D random tetravalent networks, for example polycrystals and soap froths.