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The site percolation threshold of the square lattice

Find a closed form for the site percolation threshold of the square lattice, p_c ≈ 0.5927460508; bond percolation has p_c = 1/2.

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The problem’s progress so far, then where each route stands: from the checks on its latest commit. Routes are ordered by standing: adopted, passing, pending, failing, unchecked.

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