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Julia Sets

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Julia Sets are mathematical objects relating to the field of complex dynamics. In general, Julia sets are studied in parallel to Fatou sets, as they are complementary sets defined from a complex function.

To be specific, in a metric space $(X,d)$, a Fatou set of a map $f: X \to X$ is the maximal open subset of $X$ on which the family of iterates $\lbrace f^n \rbrace$ is equicontinuous, and the Julia set is its complement in $X$.

To approximate images of these sets, a common approach is to iterate the function of interest over some subset of the complex plane, which often yield beautiful fractals.

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rubenandrebarreiro / 2d-fractals-mandelbrot-julia

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💠 🔷 🔻 A project based in Computer Graphics and Interfaces. This project was built using HTML (HyperText Markup Language), CSS (Cascade Style Sheets), JavaScript and WebGL (Web Graphics Library). The application allows to see Fractals' structures with multiple scales and, using some of the both Benoit Mandelbrot and Gaston Julia's sets, in the ca…

javascript css html science engineering webgl graphics julia computer mandelbrot nova computing interfaces fractals 2d julia-sets fct-nova mandelbrot-sets fct-unl
  • Updated Mar 30, 2019
  • JavaScript
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