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A power law is postulated for both site and bond percolation thresholds. The formula is p₂=p₀ (d-1) (q-1) ^-ad^b, where d is the space dimension and q the coordination number. All thresholds up to d are found to belong to only three universality classes. For two classes b=0 for site dilution while b=a for bond dilution. The remaining class associated with high dimensions is characterized by b=2a-1 for both sites and bonds. Classes are defined by a set of value for {p₀;a}. Deviations from available numerical estimates at d7 are within 0. 008 and 0. 0004 for high dimensional hypercubic expansions at d8. The formula is found to be also valid for Ising critical temperatures. 1996 The American Physical Society.
Galam et al. (Fri,) studied this question.