On the distribution of cell areas in a Voronoi network

Abstract

Abstract The distribution of cell areas for a Voronoi network is examined by computer simulation, and a rough argument is presented as to how this form of distribution may be derived analytically. The resulting form is a gamma function as was previously used by Kiang (1966) to fit numerical data of cell areas. Computer-generated distributions for large samples of cells are here used to test this suggested function more stringently than in Kiang's work.