occupation probability 1 − 2 sin(π/18) = 0.652703..., which is the bond percolation on a hexagonal lattice. These results follow from the isoradial condition but also follow from applying the star-triangle transformation to certain stars on the honeycomb lattice. Finally, it can be generalized to having three different probabilities in the three different directions, p1, p2 and "p"3 for the long bonds, and , , and for the short bonds, where "p"1, "p"2 and "p"3 satisfy the critical surface for the inhomogeneous triangular lattice.