FractionalGeometry-Chap2

R 12 12 12 s 12 12 12 e 0 0 0 0 0 12 0 0 0 ifs 1

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Unformatted text preview: nd (x2 , y2 ) for which (T (x1 , y1 ), T (x2 , y2 )) > s · d((x1 , y1 ), (x2 , y2 )) Prob 2.1.3 Find IFS rules to generate the fractals in Fig. 2.10. For reference, each is enclosed in the unit square with the origin at the lower left corner. (b) (a) (c) (d) Figure 2.10: Fractals for Prob. 2.1.3. Prob 2.1.4 Compare the fractals generated by IFS 1 and 2. r 1/2 1/2 1/2 s 1/2 1/2 1/2 θ ϕ e 0 0 0 0 0 1/2 0 0 0 IFS 1 for Prob. 2.1.4. f 0 0 1/2 r 1/2 1/2 1/2 s 1/2 1/2 1/2 θ ϕ e 0 0 0 0 0 1 0 0 0 IFS 2 for Prob. 2.1.4. f 0 0 1 Prob 2.1.5 Find IFS rules to generate the fractals in Fig. 2.11. For each, take the origin to be the left-most point of the fractal. Prob 2.1.6 Find two different sets of three transformation IFS rules to generate the right isosceles Sierpinski gasket. (Note: changing the order of the rows does not produce a different set of transformations.) 34 CHAPTER 2. ITERATED FUNCTION SYSTEMS (b) (a) Figure 2.11: Fractal for Prob. 2.1.5. (a) (b) (c) (d) Figure 2.12: Fractals for Prob. 2.1.7. Figure 2.13: Images for Prob....
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This document was uploaded on 02/14/2014 for the course MATH 290B at Yale.

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