The Mandelbrot Set is a fractal image generated using complex numbers. The process for generating the Mandelbrot set is very easy. Each point on the screen is represented by a complex number c. To determine the color of the point, initialize a variable z with the value of c, then repeatedly set the variable z to be z * z + c. However many times it you repeat that equation before z grows to be farther than 2 units away from 0 on the complex plane determines the color of the point.