Finite size scaling study of percolation on the honeycomb lattice with various length to width ratios

Abstract A Monte Carlo method based on finite size scaling of samples with various length to width ratios is proposed to determine the critical point of percolation. For the honeycomb site problem the ratio 0.6973 ± 0.0008 is found in contradiction with Kondor's result 1 √2 which in equivalent to Wu's conjecture.