The most complex geometric figure known is perhaps the Mandelbrot Set, which is formed from the very simple formula new z = z^2 + c. No matter how far you magnify on this figure, you will continue seeing an endless amount of details with increasingly intricate and beautiful designs. This applet will allow you to explore some of this by allowing up to 256x magnification at any place on the fractal. Clicking on any point on the picture will allow you to magnify it twice. You will be able to discover a lot yourself if you do the magnifications several times. For example, notice that the image of the Mandelbrot Set repeats itself in many places at different magnifications. This shows one of the basic properties of fractals — self-similarity.