ON SOME NATURAL AND MODEL 2D BIMODAL RANDOM CELLULAR STRUCTURES

The topological and metric properties of a few natural 2D random cellu lar structures, namely an armadillo shell structure and young soap fro ths, which are formed from two classes of cells, large and small, have been characterized. The topological properties of a model generated f rom a Kagome tiling, which mimics such random binary structures, have also been exactly calculated. The distribution of the number of cell s ides is bimodal for the structures investigated. In contrast to the cl assical Aboav-Weaire law for homogeneous 2D random cellular structures , nm(n), the mean total number of edges of neighbouring cells of cells with n sides does not vary linearly with n. Only the nm(i, n) (i = 1, 2) determined separately for every class of cells are linear in n for all investigated structures. Topological properties and correlations between metric and topological properties are finally compared with th e predictions of various literature models.