The critical distortion d(c) of the Potts models on a number of lattic
es is shown to be related to the radius of convergence R of the Mayer'
s series by d(c) = (q - 1)R/(1 + R). By using the matrix representatio
n of Mayer's series, a recursive approach is applied to estimate R, an
d hence d(c) for Ising models for which q = 2.