Fractal geometry computer graphics representation of the Mandelbrot Set plotted from complex number coordinates A number is described as complex when it is made up of two parts historically called real and imaginary imaginary numbers are derived from the square root of The Mandelbrot set named after Benoit B Mandelbrot is a form of fractal geometry the mathematical study of forms having a fractional dimension Fractal patterns demonstrate order and presence of pattern in apparently highly irregular systems For example fractals have been applied to model coastlines