MAT335H1 Lecture : MAT335 Problem Set 6 Self Generated Solutions.pdf
Document Summary
Chapter 14: #1, 4, 5, 6, 7, 8, 11. Chapter 15: #1(c), 1(d), 2(c), 2(d), 3(c), 3(d), 5, 8, 9, 10, 11. Note: for question #1, let ai(p) = (p pi) + pi. Ch 14: #1. (a) let t be the triangle with vertices p0, p1, p2. Since we are removing middle thirds along the x and y-axes, the attractor is k k, with x + y 1, where k is the cantor set. Then (cid:26)(cid:20) x y (cid:21)(cid:12)(cid:12)(cid:12)(cid:12) y = 0, 0 x 1 (cid:27) A0(i) a1(i) = i; a0 a0(i) a0 a1(i) a1 a0(i) a1 a1(i) = i, and so on, which means the attractor of this ifs is the interval i itself. Ch 14: #1. (c) let s be the square with vertices p0, p1, p2, p3. Since we are removing middle thirds along the x and y-axes, the attractor is k k, where k is the cantor set.
