F. Babalievski, Comment on "Universal formulas for percolation thresholds. II. Extension to anisotropic and aperiodic lattices", PHYS REV E, 59(1), 1999, pp. 1278-1279
Recently S. Galam and A. Mauger [Phys. Rev. E 56, 322 (1997)] proposed an a
pproximant which relates the bond and the site percolation threshold for a
particular lattice. Their formula is based on a fit to exact and simulation
results obtained earlier for different periodic and aperiodic lattices. Ho
wever, the numerical result for an aperiodic dodecagonal lattice does not a
gree well with the proposed formula. I present here new and more precise da
ta for this and other aperiodic lattices. The previously published value fo
r the dodecagonal lattice is confirmed. The reason for the deviation from t
he Galam and Mauger approximant is discussed. [S1063-651X(99)09101-1].