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Fractals deal with special sets that exhibit complicated patterns in every scale. Fractal sets usually have a Hausdorff dimension different from its topological dimension. Examples include Julia sets, the Sierpinski triangle, the Cantor set. Fractals naturally appear in dynamical system, such as iterations in the complex plane, or as strange attractors to continuous dynamical systems, (see Lorentz attractor).
42
votes
Did Gaston Julia ever get to see a computer-generated image of his eponymous set?
Not a definitive answer, but a close upper bound.
The same paper that had the first published computer-generated image of the
Mandelbrot set also includes an image of the Julia set (no idea if it's …