Fourth Homework Set Answers

1. (r) This fractal consists of N = 4 pieces, with r1 = 2/3 and r2 = r3 = r4 = 1/3. The dimension, d, is the solution of the Moran equation
(2/3)d + 3(1/3)d = 1
Because 2/3 and 1/3 are not integer powers of the same number, the Moran equation must be solved numerically. This gives d is approximately 1.642.

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