2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145729This is supplementary material for the article arxiv:0708.3250. We provide an alternative introduction of the mean Euler Characteristic, additional examples and the percolation thresholds for 2-uniform lattices.Supplementary material for arxiv:0708.3250Statistical Mechanicstext