Mannn I wish there was more time to explore this idea further, because I think there's something *really* cool here. It takes a while to get to the point where the game starts to get interesting, since you can trivialize a lot of the early rounds by just submitting lines and squares of varying areas... but when you're forced to start submitting awkward pieces that mess things up, that's when this idea really starts to shine.
Awesome entry! I've easily spent the most amount of time on this one so far.