When I view a fractal such as the Mandelbrot, my first thought is, where did this interesting picture come from. For a picture of this complexity, the information that generated this picture must be stored somewhere. Then I found that the Mandelbrot is generated by computational processes based upon mathematics in the area of complex numbers.

However, my question still holds, where did the information come from? The nice picture wasn't input when the program was written, where did the information for this picture come from?