Voronoi tessellation of packings of equal spheres

The simplest way for describing the neighbourhood and steric environment of a spherical grain in a packing of spheres is to build its Voronoi cell. The Voronoi cells generate a partitioning of the space-a foam-which may be studied without any reference to the underlying set of grains. The size and shape of a cell, its correlation to the sizes and shapes of its nearest neighbours provide good indications as to the local arrangement of the grains.