This applet will allow you to explore some properties of Julia Sets formed using the simple formula new z = z^2 + c. At the left of the applet, you will see the picture of the Mandelbrot Set. In Mode A, you can choose the value for the complex constant c by clicking on the point with those coordinates (the coordinates are displayed below the picture). You will get the most beautiful fractals by choosing values close to the border of the Mandelbrot Set. Also, notice that values on the set will give you interconnected fractals while values outside of the Mandelbrot Set will not. In Mode B, you do not have to click on the point in order for the fractal to form. Instead, the Julia Set on the right will gradually change as you mode the mouse around the Mandelbrot Set. The Julia Sets are formed using the Inverse Iteration Method.