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Unformatted text preview: the pair 41, otherwise
paint the square grey. Addresses through length 7 are shown. Figure 2.63: Coloring squares by addresses
This example demonstrates the method of coloring, but the images of Fig.
2.63 are not particularly interesting, nor do they ﬁll us with joy at having learned
this method. Perhaps another IFS will at least give us some satisfaction, if no
Example 2.10.2 Coloring a tree 97 2.10. COLORING IFS BY ADDRESSES Consider the ﬁrst IFS of Sect. 2.6, the IFS generating the tree image on the
left side of Fig. 2.33. The trunk of the tree is generated by T5 and T6 ; T1 (T5 )
and T1 (T6 ) give the image of the trunk in the lower left branch; T1 (T1 (T5 )) and
T1 (T1 (T6 )) give the image of the trunk in the lower subbranch of the lower left
branch; and so on. So to color the trunk and branches of the tree brown, and
the rest of the tree (the leaves) green, simply keep track of the address of each
region, down to some speciﬁed level. If the address contains a 5 or a...
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