  We stress the importance of stochastic geometry as a branch of mathematical
statistics particularly suited to model and investigate nontrivial spatial
patterns. One of its key concepts, Voronoi tessellations, represents a
versatile and flexible mathematical model for foamlike patterns. Based on a
seemingly simple definition, Voronoi tessellations define a wealthy stochastic
network of interconnected anisotropic components, each of which can be
identified with the various structural elements of the cosmic galaxy
distribution. Here we describe results of an ongoing investigation of a variety
of aspects of cosmologically relevant spatial distributions and statistics
within the framework of Voronoi tessellations. Interesting is the recent
finding of a profound scaling of both clustering strength and clustering extent
for the distribution of tessellation nodes, representing galaxy clusters. It
suggests a hitherto unexpected fundamental and profound property of foamlike
geometries. In a sense, cellular networks may be the source of an intrinsic
``geometrically biased'' clustering.
