Benoit Mandelbrot gives a mathematical definition of a fractal as a set for which the Hausdorff Besicovich dimension strictly exceeds the topological dimension. However, he is not satisfied with this definition as it excludes sets one would consider fractals. Mandelbrot set Classic Mandelbrot set fractal. Lorenz attractor Lorenz two lobe attractor - orbit in three dimensions. In 2d the x and y components are projected to form the image.
Parameters are dt, a, b, and c.
Julia set Classic Julia set fractal.