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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
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