I recently stumbled upon the Cycloid and was working on finding its length and such when I found this animation on Wikipedia.
Strikingly pretty and small in size too (66KB)
So on searching how he made that particular animation and others I stumbled upon this talk
What software edited the animations?
... None at all. I used MSVC++ to write a little program that calls some GDI+ functions and draws a multi-layer TIF picture each layer of which is a single frame (Only Math, C++ & some Windows API that are well-documented). ...
I went on searching libraries to program with but ultimately quit because it was too much of a bother.
Somewhile later I saw this and thank goodness the author used a software package (MuPAD). But the software costs a lot and is now part of MATLAB, and the size of the
.gif was way too large.
Finally I've come back to Mathematica and want to know how to go about it.
Don't just tell me the code right away; give me some pointers, text, documentation, other questions, etc.
EDIT : Thank you people, here's my rendering (not exactly, because I used J.M.'s code)