Extreme Math
Go to math.bu.edu/DYSYS/applets/chaos-game.html on the Internet, and figure out how to solve The Chaos Game in as few moves as possible.
There are three different games (cleverly numbered 1, 2, and 3). Each game has several levels, from Novice to Master. I’m sure that you won’t have time to play all three games at all four levels, so just do as much as you can. I recommend that you stick to Game 1, starting with the Novice level. If you master that, go on to the next level, and so forth.
Along the way, of course, you should be trying to figure out a mathematical method of “winning” one of the games!