Estimates of threshold and strength of percolation clusters on squarelattices with (1, $\pi$)-neighborhood

In this paper we consider statistical estimates of threshold and strength of percolation clusters on square lattices. The percolation threshold pc and the strength of percolation clusters $P_\infty$ for a square lattice with (1, $\pi$)-neighborhood depends not only on the lattice dimension, but also on the Minkowski exponent $\pi$. Toestimate the strength of percolation clusters $P_\infty$ proposed a new method of averaging the relative frequencies of the target subset of lattice sites. The implementation of this method is based on the SPSL package, released under GNU GPL-3 using the free programming language R.