  The preparation of many composites requires the intermixing of several
macromolecular fluids along with the addition of solid filler particles. These
fillers are usuallly polydisperse and there is an extensive experimental
evidence that their size and shape profoundly affects the properties of the
resulting material. In particular, it is generally found that the percolation
threshold decreases as the size disparity between the different particles
present in a system increases and that the threshold decreases with the aspect
ratio of the particles. Here a recursive approach that we have recently
introduced is applied to the study of the percolation of particles of different
sizes and shapes, without the presence of a polymer matrix, on a lattice in
various phases including metastable states. In our approach the original
lattice is replaced by a recursive structure on which calculations are done
exactly and interactions as well as size and shape disparities can be easily
taken into account In the previous paper we have introduced the recursive
approach and shown how correlations among particles of the same size can affect
percolation. Before considering the complete system made of particles of
various sizes and shapes embedded in a polymer matrix here we describe the
properties of systems made of particles without any matrix. The approach
appears to be extremely successful since it is able to capture most of the
important features observed in experiments.
