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Unformatted text preview: ivalent of videofeedback with mirrors. Right: an example of a fractal generated with this arrangement.
On the left of Fig. 2.50 we see the negative of the fractal image of Fig. 2.49,
together with three initial points A0 , B0 , and C0 . On the right we see four sets
of image points, the images of the initial points, one set for each main piece
of the image. The image points A1 , B1 , and C1 are placed in the upper piece
by identifying points corresponding to the initial points. The bottom piece is
produced by two reﬂections, equivalently, by a rotation.
Take the initial point A0 to be the origin and measure the coordinates of
B0 and C0 , obtaining (3.6, 9.5) and (14.3, 6.7). Measure the coordinates of the
image points, obtaining these values. 84 CHAPTER 2. ITERATED FUNCTION SYSTEMS Figure 2.50: Left: The negative of a two mirror videofeedback image with initial
points indicated. Right: The four sets of image points.
(3.4, 7.4) (7.5, 11.0)
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