Well, completed Survival Mode anyway. All 50 levels of it. It took about an hour and 20 minutes, and now my brain (and eyes) hurt somewhat from all the hexagons.
I’m not sure if the other modes can be completed or not, as once you reach level 7 you’re told it’s the final level. Besides, you can’t clear the screen in those modes.
Hurrah for my first completed Xbox 360 game!