Fractals are simple pictures that visualize the behavior of various mathematical equations. They show what happens to the output of an equation for every possible input. Every equation has two kinds of fractal images associated with it, the first is called a Mandelbrot image and the second is called a Julia image. There is one Mandelbrot image for each equation but an infinite number of Julia images, and in fact the Mandelbrot image is a summing statement covering every possible Julia image. The video 'Mandelbrot Sets and Julia Sets' covers many different equations including quadratics, cubics, 5th degree polynomials, rational maps and a host of others.
Scenes consist of long deep zooms into the various mathematical spaces under study.
Also included are various 'promenades' around the quadratic space showing the resulting Julia Sets. The video is scored with a beautiful music only sound track, suitable for all ages. Art Matrix suggests that providing this experience to young children will change their view of mathematics, an effect that will last the rest of their lives.