The study of random tessellations is one of the major subjects in stochastic geometry, see e.g. Stoyan, Kendall and Mecke (1995). A tessellation is roughly speaking a subdivision of the space into sets called cells, crystal, tiles etc. depending on the particular application. By ‘space’ is usually meant the d-dimensional Euclidean space ℝ d , d ≥ 2, and it is often assumed that the cells are bounded convex d-dimensional polytopes. Typically, the random mechanism is given by some stochastic process of simple geometrical objects which generate the tessellation in accordance to some rules.