  Voronoi Tessellations form an attractive and versatile geometrical asymptotic
model for the foamlike cosmic distribution of matter and galaxies. In the
Voronoi model the vertices are identified with clusters of galaxies. For a
substantial range out to a scale in the order of the cellsize, their spatial
two-point correlation function is a power-law with a slope $\gamma \approx
1.95$. This study presents recent results showing that subsets of vertices
selected on the basis of their ``richness'', i.e. inflow volume, retain this
power-law correlation behaviour. Interestingly, they do so with a ``clustering
length'' $r_{\rm o}$ that is exactly linearly proportional to the average
inter-vertex distance in the sample, thus forming a realization of the
Szalay-Schramm prescription. For the geometry and structural patterns even more
significant is the finding tessellation vertices display a similar linear
increase for their correlation length $r_{\rm a}$, the coherence length at
which $\xi(r_{\rm a})=0$. Such patterns therefore exhibit positive correlations
out to distances considerably in excess of the cellsize. Most intriguing is the
implication of self-similar scaling, while these results may be regarded as the
presentation of a ``geometrical bias'' effect. A seemingly rigid structure
appears to represent a flexible and useful geometric model for exploring the
statistical and dynamical repercussions of the nontrivial cellular patterns in
Megaparsec scale cosmic structure.
