MATH 225 Midterm: MATH 225 Amherst F14M225Folsom
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Instructions: please answer all questions, you must show all of your work, & justify clearly where appropriate, cite any theorem or result that you use, no books, notes, calculators, computers or cell phones allowed. Please do not write in this table - for scoring purposes only. Total (15) (15) (20) (10) (10) (15) (15) (15) (20) (out of 135) Find the ifs rules to generate the following fractals. For reference, the unit square is drawn in gray around each fractal. (you may not need to use all of the rows provided in the tables. ) Compute the similarity dimension ds of the fractal in part (a). Your answer should be exact, and not a decimal approximation. The image a below is the attractor of a 1-ifs generated using the standard four contraction maps. T3(cid:20) x y (cid:21) = y (cid:21) = 2(cid:20) x y (cid:21) +(cid:20) 0 y (cid:21) +(cid:20) 0. T4(cid:20) x y (cid:21) = y (cid:21) =