To explore the Mandelbrot set, sweep a square, down and to the right, near the border between black and white. You may see some colors here. The program will magnify the square you indicated. Keep doing this and watch the geometric patterns emerge. You will even see tiny Mandelbrot Sets buried within the colors. The back button will take you to the previous magnification. You can also re-size the window by dragging the lower right hand corner. The larger the window, the more time will be required for the calculations.
Enjoy.