FractionalGeometry-Chap2

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Unformatted text preview: TERATED FUNCTION SYSTEMS Prob 2.7.1 Verify that reﬂection across the x-axis is equivalent to reﬂection across the y -axis, followed by a rotation of π . Prob 2.7.2 Suppose P1 = (0, 0), P2 = (.75, −.25), and P3 = (−.5, 1), and Q1 = (1.5, 0.5), Q2 = (1.125, 0.375), and Q3 = (1.75, 1). Find r, s, θ, ϕ, e, and f. Prob 2.7.3 Suppose P1 = (0, 0), P2 = (.75, −.25), and P3 = (−.5, 1), and Q1 = (1.5, 0.5), Q2 = (1.875, 0.601), and Q3 = (1.083, .721). Find r, s, θ, ϕ, e, and f . Prob 2.7.4 Suppose P1 = (0, 0), P2 = (.75, −.25), and P3 = (−.5, 1), and Q1 = (1.5, 0.5), Q2 = (1.911, 0.638), and Q3 = (0.937, .575). Find r, s, θ, ϕ, e, and f . Prob 2.7.5 Suppose P1 = (0, 0), P2 = (.75, −.25), and P3 = (−.5, 1), and Q1 = (1.5, 0.5), Q2 = (1.321, 0.185), and Q3 = (1.330, .877). Find r, s, θ, ϕ, e, and f . Prob 2.7.6 Find r, s, θ, ϕ, e, and f for the points Pi and Qi indicated on the left of Fig. 2.48. Take P1 to be the origin of the coordinate system. Prob 2.7.7 Find r, s, θ, ϕ, e, and f for the points Pi and Qi indicated on the rightt of Fig. 2.48. Take P1 to be the origin of the coordinate system. P3 P 3 P2 P 2 Q1 Q2 Q3 (a) P1 Q3...
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## This document was uploaded on 02/14/2014 for the course MATH 290B at Yale.

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