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An infinite regular three-dimensional network is composed of identicalresistors each of resistance joining adjacent nodes. What is the equivalentresistance between the lattice site and the lattice site, when two bonds areremoved from the perfect network? Three cases are considered here, and somenumerical values are calculated. Finally, the asymptotic behavior of theequivalent resistance is studied for large distances between the two sites.

Infinite Simple 3D Cubic Lattice of Identical Resistors (Two Missing Bonds)