Percolation Threshold - Thresholds On Other 2D Lattices

Thresholds On Other 2D Lattices

Lattice z Site Percolation Threshold Bond Percolation Threshold
(4, 6, 12) covering lattice 4 4 0.693734 0.559315(1)
(4, 82) covering lattice 4 4 0.67680232(63) = pcbond(4,82) 0.54479793(34)
square covering lattice (non-planar) 6 6 1/2 0.3371(1)
square matching lattice (non-planar) 8 8 0.40725395(3) 0.25036834(6)

(4, 6, 12) covering lattice

(4, 82) covering lattice

(3,122) covering lattice (in light grey), equivalent to the kagome (2 x 2) subnet, and in black, the dual of these lattices.

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