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Sierpiński Carpet Graph

Definition

The nth-order Sierpiński carpet graph is the connectivity graph of black squares in the nth iteration of the Sierpiński carpet fractal. The first three iterations are shown above, with n = 1 corresponding to the cycle graph C_8. The n-Sierpiński carpet graph has 8^n vertices and 8(8^n - 3^n) edges.

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Wacław Sierpiński

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