Each of the 12 self-similar sets in Figure Ex-3 results from three similitudes with
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 , and so all have Hausdorff dimension . The rotation angles of the three similitudes are all multiples of . Find these rotation angles for each set and express them as a triplet of integers , where is the corresponding integer multiple of in the order upper right, lower left, lower right. For example, the first set (the Sierpinski triangle) generates the triplet . Figure Ex-3
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