Over at Neighborhood of Infinity, there's a mention that the Angels and Devil game might have been solved. Don't know what it is? It's a game played on an infinite checkboard. The Angel begins at the origin, and can move to any square that can be reached in k moves of a chess king. The Devil can then destroy a square anywhere. The Angel wins if he can evade the Devil. The Devil wins if he can box in the Angel. The game was proposed by Conway, and has up until now remained unknown as to whether there was a reasonable strategy for the Angel.
I haven't read them over in any detail, but it's the kind of neat recreational math stuff I like.