After two hours, I finally got Flash working on Fedora 13 (which I installed today)! I would've been able to do it in a couple of minutes, were I not so hesitant to work with .tar instead of .rpm and yum...
Anyway, the 64-bit version of Flash seems fine, even though it's only in an alpha stage of development (it'll be ported to Windows and Mac when it's finished development).
Now, back to stuff like this -
http://www.youtube.com/watch?v=qO1tydZke-o.