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Unformatted text preview: ement of the four transformations. Right: the attractor witout rotations or reﬂections.
Prob 2.9.1 In Example 2.9.1 ﬁnd a value of θ1 = ϕ1 slightly larger than π/4
so the attractor is connected.
Prob 2.9.2 Modify Example 2.9.1 in this way
Table for ϕ
the IFS e
1 − cos(−ξ/2)
of Prob. 2.9.2. f
3/4 Certainly, for ξ = 0 the attractor is an equilateral gasket. Find another value
of ξ for which the attractor is an equilateral gasket. Is it the same size as the
ξ = 0 gasket?
Prob 2.9.3 Using the four function placements of the practice problems, ﬁnd
a four function IFS with hybrid attractor.
Probs 4 – 7 use a four function IFS, three scaling by 1/2, one scaling by 1/4,
placed according to the schematic on the left side of Fig. 2.62. As in example
2.9.2, the each transformation can involve reﬂection across the x-axis, reﬂection
across the y -axis, or rigid rotation by π/2, π...
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