The martini lattice is obtained from the honeycomb lattice by replacing every vertex in one of its two vertex classes by a triangle, attaching its three former incident bonds to the triangle's three vertices. It is a periodic degree-three planar graph, with triangular faces and nine-sided faces. Each decorated vertex and its incident bonds is a three-terminal cell with three internal triangle bonds and three terminal spokes. Its independent bond percolation threshold is , as follows from three-terminal cell partition duality.
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