2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16558We find that 2-dimensional (2-D) critical branched polymers with no impurities conclusively belong to the same universality class as 2-D random percolation clusters, although pure critical 3-D branched polymers do not belong to the 3-D percolation universality class. We find, moreover, that the fractal dimension of critical branched polymers in 2-D is independent of the presence of a random environment, and explore possible explanations for these strange results. We also report that when there are no impurities the critical branching probability in 3-D is bc=3.34e-4 +- 0.16e-4.4 pages, 3 figuresStatistical Mechanicstext