The number of perfect rnatchings for the linear 2 × 2 ×ncubic lattice was analytically derived by diagonalizing the skew—symmetric 4n× 4ndeterminant, whose non—zero off—diagonal elements are either ±1 or ±i(pure imaginary number). The basic formulation invoking the matrix manipulation follows that of Kasteleyn, but the result obtained in this paper is the first example of the analytical solution for a special case of the three-dimensional I
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