ABSTRACT

We compare two-dimensional froths obtained by radical tessellation of random planar cuts made through disordered assemblies of monosize spheres and two-dimensional stereological cuts obtained from the three-dimensional froths made with the same packing. The study of both topological and metric properties shows significant differences between the two representations. Furthermore, the Lewis’s and Desch’s laws do not hold for the two representations. Finally we study the crystallization of tridimensional packings of hard spheres by means of bidimensional random cuts. We show that order can be seen in these cuts.