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Unformatted text preview: (b) Q1 Q2 P1 Figure 2.48: Points for Prob. 2.7.6 (left) and Prob. 2.7.7 (right).
Prob 2.7.8 Use the method of this section to ﬁnd the IFS parameters for the
three spirals of Fig. 2.37. If your answers diﬀer from those found in that section,
comment on possible sources of the diﬀerences.
Prob 2.7.9 Use the method of this section to ﬁnd the IFS parameters for
(a) the ferns of Fig. 2.43
(b) the spirals of Fig. 2.44
(c) the spirals of Fig. 2.45
(d) the snowﬂakes of Fig. 2.46. 2.8. VIDEOFEEDBACK WITH MIRRORS: ANALOG IFS 2.8 83 Videofeedback with mirrors: analog IFS Although usually taken as an illustration of dynamical processes, with several
mirrors videofeedback can give rise to stable fractal patterns. This is a happier
role for mirrors than that assigned by Borges: “For one of those gnostics, the
visible universe was an illusion or (more precisely) a sophism. Mirrors and fatherhood are abominable because they multiply and disseminate that universe.”
(Tl¨n, Uqbar, Orbis Tertius in ).
The left side of Fig. 2.49 shows the...
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