How to plot the Mandelbrot set

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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