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Algorithm that generates fractals based on the Julia Set

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Fractals-JuliaSet

Algorithm in python that generates fractals based on the Julia Set.

The julia set is formed by points in the complex plane that small differences between them can cause a big change after iterating these points in a function. Learn more: Julia Set - Wkipedia.

in this case, the interaction function is: f(z) = z² + c

Julia Set, c = (φ - 2) + (φ - 1)i

fractal-image

Julia Set, c = 0.78 * ( cos(x) + i * sin (x) ), x in [ 0, 2 * pi ]

I made this video with a similar algorithm using javascript and the canvas element.

fractal-video

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Algorithm that generates fractals based on the Julia Set

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