Anisotropy and percolation threshold in a multifractal support

Recently a multifractal object, Qmf, was proposed to allow the study of percolation properties in a multifractal support. The area and the number of neighbors of the blocks of Qmf show a non-trivial behavior. The value of the probability of occupation at the percolation threshold, pc, is a function of r, a parameter of Qmf which is related to its anisotropy. We investigate the relation between pc and the average number of neighbors of the blocks as well as the anisotropy of Qmf.