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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