Analytical Results for Size-Topology Correlations in 2D Disc and   Cellular Packings
  Random tilings or packings in the plane are characterized by a size distribution of individual elements (domains) and by the statistics of neighbor relations between the domains. Most systems occurring in nature or technology have a unimodal distribution of both areas and number of neighbors. Empirically, strong correlations between these distributions have been observed and formulated as universal laws. Using only the local, correlation-free granocentric model approach with no free parameters, we construct accurate analytical descriptions for disc crystallization, size-topology correlations, and Lema\^itre's law. 
Matthew P. Miklius and Sascha Hilgenfeldt
cond-mat.soft cond-mat.dis-nn physics.bio-ph