here is a good math movie. what is your favorite software to make math movies? I used Mathematica, GeoGebra, Sketchpad. But they are not perfect. Also, could you recommend some interesting math movies?
There is no "perfect" software for making math visualization videos. The better movies of this kind were likely made using standard 3D animation software such as Cinema4D, Maya, 3d studio, XSI and such. You'll probably have to export data from a math application such as Mathematica into these suites and do the renderings in there. It's possible to render with just POV-Ray but working with a 3D suite can get you much better results.