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How to plot the Mandelbrot set

[CG]Maxime
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Julia Sets

Julia Sets also offer great fractals. The definition of the Julia sets is very similar to the mandelbrot set. As a reminder, the Mandelbrot set is the set of the complex numbers $c$ for which the sequence $z_{n+1} = z_n^2 + c$ is bounded ($z_0$ is set to $0$). While, the definition of the Julia sets is the numbers $z_0$ for which the sequence is bounded, with $c$ a constant value.

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