Thirty fair dice (rotating in Java; still GIF) most of which you won’t find at your game supply store.
It’s misleading to imply that there are exactly thirty. Several of the figures are special (more regular) cases of others shown; others (the dihedra) are representatives of infinite sets. Apart from the dihedra, each can (I believe) be continuously deformed into any of the others without losing fairness.
2008: see also.