THE POISSON VORONOI TESSELLATION .2. EDGE LENGTH DISTRIBUTION-FUNCTIONS

This paper presents a method for the determination of the distribution function of the length of the 'typical' edge of the Poisson Voronoi t essellation. The method is based on distributional properties of the c onfiguration of the centres in the neighbourhood of the 'typical' vert ex. The distribution and density functions of the edge lengths are giv en in double integral form for various dimensions. Analogous character istics are considered for two-dimensional sections through higher-dime nsional Poisson Voronoi tessellations.