Dear Troy,
I just looked up your animations webpage: congratulations for the beautiful work you have done, and thanks for sharing.
I played a little bit with the hypocycloid source file you sent some time ago and found it useful for other situations as well.
Would it be possible to have the source files of the other examples you show on the webpage
Also, if I may suggest something, an animation like the one for Riemann sums would be very intersting for illustrating the Lebesgue integrals in order to show to students what is going on.
Best wishes for the New Year, and best regards: OK