Mandelbrot fractal Computer artwork of a part of the Mandelbrot Set a pattern generated using a simple repeating mathematical process The process of repetition called iteration is applied to a set of complex numbers The patterns formed are infinitely complicated appearing qualitatively the same on whatever scale they are viewed A magnification however large of any part of the image produces an image which looks very similar Such repetition and fractional dimensionality is seen here The study of such chaotic mathematical behaviour is used as a means of modelling real world processes from stock market prices to population dynamics and fluid turbulence