Solved: Each of the 12 self-similar sets in Figure Ex-3 results from three similitudes
Chapter 10, Problem 3(choose chapter or problem)
Each of the 12 self-similar sets in Figure Ex-3 results from three similitudes with scale factor of 1 2 , and so all have Hausdorff dimension ln 3/ ln 2 = 1.584 .... The rotation angles of the three similitudes are all multiples of 90. Find these rotation angles for each set and express them as a triplet of integers (n1, n2, n3), where ni is the corresponding integer multiple of 90 in the order upper right, lower left, lower right. For example, the first set (the Sierpinski triangle) generates the triplet (0, 0, 0).
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