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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
ﬁlledin 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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 Fall '14
 AmandaFolsom
 Geometry, Fractal Geometry, Limits, The Land

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