It can be generated in numerous ways.
Fractals are intricate patterns repeating at different size scales.
Similar structures can be seen on every scale of a fractal. Hence, they demonstrate the principles of self-similarity, emergence and self assembly. They are the beautiful geometries that emerge when simple algorithms reiterate and are generated by the computer. They are a visual representation of mathematics in computer feedback loops. The modern study of fractals dates back to 1975 when Benoit Mandelbrot discovered the Mandelbrot set fractal in his revitalization of the studies done by Koch, and Gaston Julia earlier this century .