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Source=http://www.student.wau.nl/~hylke/fractals.html
The Julia Set
Remember the Julia set is fc(z) = z2 + c. To make this set, we
fix the value of c. We want to know what happens to any point after n iterates. We
can think of this symbolically as f n (z) = (f(...(f(z))...)).
point zn |
f(zn) |
= zn+1 |
z0=1 |
f(1) |
1 + c |
1+ c |
? |
z2 |
z2 |
? |
z3 |
z3 |
? |
z4 |
Now, let's see how these Julia sets vary. Go into the java
applet.
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