The Moran Equation

Moran Equation Exercise Answer

As the right side shows, this fractal can be decomposed into three pieces with r1 = r2 = r3 = 1/3, and one with r4 = 2/3.

Thus the Moran equation is

3(.333d) + .667d = 1.

Because the ri are not integer powers of the same number, we must use the numerical method described in solving the Moran equation. With this, we obtain

d ≈ 1.65196 ... .

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