FractionalGeometry-Chap2

# B if the four subspirals are say green is it possible

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Unformatted text preview: g scheme. However, the best setting is Ch 5, because IFS with probabilities is one of the simplest ways to introduce multifractals. Coloring by measures is presented in Sect. 5.2. An alternate approach to coloring IFS can be obtained by using addresses, so far as we are aware, ﬁrst presented in [63]. This method is much simpler than that based on measures, but requires a more obvious presence of the hand of the programmer. The general method is straightforward: ﬁnd the addresses of the regions to be assigned each color, keep a list of the transformations applied and color the regions with the appropriate addresses. We illustrate this with two examples. Example 2.10.1 Coloring regions of the square Recall the transformations T1 , T2 , T3 , and T4 of Example 2.4.1 generate the ﬁlled-in unit square. On the left side of Fig. 2.63 we paint paint yellow the squares with addresses 22, 23, 32, 33. Paint green the squares with addresses ij 11, ij 14, ij 41, and ij 44, for i, j = 1, 2, 3, 4. On the right side of Fig. 2.63 we paint blue every square with addresses that contains...
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