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| Mandelbrot Set |
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What is the difference between a Julia set and a Mandelbrot Set?
Julia sets are strictly connected with the Mandelbrot set. The iterative function that is used
to produce them is:
x(n+1) = x(n)2 + z.
The difference is simply in the way this formula is
used.
- To draw a picture of a Mandelbrot set, iterate the formula for each point z of the complex plane
and always start with x(0) = 0.
- When making a picture of a Julia set, z remains fixed during the whole generation process,
while the value of x(0) varies. The value of z determines the shape of the Julia set so that
each point of the complex plane is associated with a particular Julia set.
Next: Chaos Concluded
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