
Source=http://www.student.wau.nl/~hylke/fractals.html
The Julia Set
Remember the Julia set is f_{c}(z) = z^{2} + 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 z_{n} 
f(z_{n}) 
= z_{n+1} 
z_{0}=1 
f(1) 
1 + c 
1+ c 
? 
z_{2} 
z_{2} 
? 
z_{3} 
z_{3} 
? 
z_{4} 
Now, let's see how these Julia sets vary. Go into the java
applet.
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