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Random tilings or packings in the plane are characterized by a sizedistribution of individual elements (domains) and by the statistics of neighborrelations between the domains. Most systems occurring in nature or technologyhave a unimodal distribution of both areas and number of neighbors.Empirically, strong correlations between these distributions have been observedand formulated as universal laws. Using only the local, correlation-freegranocentric model approach with no free parameters, we construct accurateanalytical descriptions for disc crystallization, size-topology correlations,and Lema\^itre's law.

Analytical Results for Size-Topology Correlations in 2D Disc and Cellular Packings