Universal formulas for percolation thresholds .2. Extension to anisotropic and aperiodic lattices

In a recent paper, we reported a universal power law for both site and bond percolation thresholds in any Bravais lattice with q equivalent nearest neighbors in dimension d. We now extend it to three different classes of lattices which are, respectively, anisotropic lattices without equivalent nearest neighbors, non-Bravais lattices with two atom unit cells, and quasicrystals. The investigation is focused on d=2, and 3, due to the lack of experimental data at higher dimensions. The extension to these lattices requires the substitution of q by an effective (non integer) value q(eff) in the universal law. For each of the 17 lattices which constitute our sample we argue for the existence of one q(eff) which reproduces both the site and the percolation threshold, with a deviation with respect to numerical estimates which does not exceed +/- 0.01.