FractionalGeometry-Chap2

See exercise 1 that is we need reection only across

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Unformatted text preview: 0 1 G F D E A I G E C B F O B H H I D C A (b) (a) O Figure 2.42: Fractals for PrxsSol 2.6.1 (left) and PrxsSol 2.6.2 (right). Exercises 76 CHAPTER 2. ITERATED FUNCTION SYSTEMS Prob 2.6.1 Find IFS rules to generate the fern images in Fig. 2.43. Hints: More than four transformations are needed. The IFS for (a) and (b) differ in only one transformation. (a) (b) Figure 2.43: Ferns for Prob. 2.6.1. Prob 2.6.2 Find IFS rules to generate the spirals in Fig. 2.44. (a) (b) Figure 2.44: Spirals for Prob. 2.6.2. Prob 2.6.3 Find IFS rules to generate the spirals in Fig. 2.45. Prob 2.6.4 Find IFS rules to generate the snowflakes in Fig. 2.46. Prob 2.6.5 Find IFS rules to make forgeries of these shapes. Treat this as a lab exercise. That is, record your first guess at IFS rules, run the rules on the IFS 2.7. TRANSFORMATIONS FROM POINT IMAGES (a) 77 (b) Figure 2.45: Spirals for Prob. 2.6.3. (a) (b) Figure 2.46: Snowflakes for Prob. 2.6.4. software, print the picture, and describe why it doesn’t meet your expectations and how...
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This document was uploaded on 02/14/2014 for the course MATH 290B at Yale.

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