Or an expansion on that. Keep track of how many 128s, 256s etc you've ever formed. Show them as big counters directly under the game with an animation when you create any of them.

Log scale histogram?

Edit:

Actually all you need to store is the highest block achieved, and the number of times it's been hit. For instance, if you've only ever generated 2 8's, then you know that you've had 4 4's, and 8 2's...

Edit 2: Does the game allow four 2's to cascade into an 8? If so, maybe you could also store combo stats. It'd be way cooler to smash together four 256's than to smash together two 256's two times.

Not sure how that plays into the histogram.

> For instance, if you've only ever generated 2 8's, then you know that you've had 4 4's

You know you've had at least 4 4's, but you could have had more.

Ah. Lower bounds... they get me every time!