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I've given some thought to your question, as I'm also interested in such an animation. Some of the best advice I've seen on doing this kind of animation was just given today by niles at http://ask.sagemath.org/question/1437/animated-sphere.

You also mention wanting more info on the Frenet frame. The wikipedia page has good information: http://en.wikipedia.org/wiki/Frenet–Serret_formulas.

I've given some thought to your question, as I'm also interested in such an animation. Some of the best advice I've seen on doing this kind of animation was just given today by niles at http://ask.sagemath.org/question/1437/animated-sphere.

You also mention wanting more info on the Frenet frame. The wikipedia page has good information: http://en.wikipedia.org/wiki/Frenet–Serret_formulas.http://en.wikipedia.org/wiki/Frenet–Serret_formulas.