[math-fun] Fundamental Theorem of Algebra: the video game

Viewing David Eisenbud's Numberphile video http://www.numberphile.com/videos/fundamental_theorem_of_algebra.html makes me wonder if anyone's created a better animation of this proof (note that the animation in the video treats the image of a circle centered at 0 under a polynomial map of degree n as just a circle, rather than a funky curve with winding number n). For that matter, it'd be neat to have an app that shows two copies of the complex plane: you get to move z around in one plane, which causes f(z) to move around appropriately in the other plane, and your goal is to move f(z) toward 0 by moving z as needed. Does such an app exist? Jim Propp