I agree...I want to see the algorithm for drawing rounded rectangles! I assume that he was able take his oval rendering code and use it for the corners of the square. Never mind, that would probably still leave the story unsatisfying.
Edit: Luc already linked to the source archive in this thread, so I changed my link specifically to the RRects.a file.
Of course, if I'd actually read the code before linking to it, I'd have realized that this file doesn't really answer avgarrison's question because the algorithm is in DrawArc.a (see Luc's post earlier in this thread for an archive with the rest of the files).