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Exact site percolation thresholds using a site-to-bond transformation and the star-triangle transformation

Exact site percolation thresholds using a site-to-bond transformation and the star-triangle transformation

I construct a two-dimensional lattice on which the inhomogeneous site percolation threshold is exactly calculable and use this result to find two more lattices on which the site thresholds can be determined. The primary lattice studied here, the ``martini lattice,'' is a hexagonal lattice with every second site transformed into …