If particles snap to grid once you get down far enough, then there are a finite, though very large, number of ways you could configure atoms and stuff them into a limited amount of space.
It's called the Bekenstein bound and it doesn't require discreteness.
I was very interested in the discussions and opinions that grew out of the last time this was played, but find digging through 800+ comments for a new game to start on the same thread annoying. I also don't want this game ruined by a potential sock puppet (whom ever it may be). So here's a non-sockpuppetiered Irrationality Game, if there's still interest. If there isn't, downvote to oblivion!
The original rules:
Enjoy!