Give it a shake!

If you 'shake' the cube, all the quantz fly off, giving you a chance to recapture them in different configurations (it's also just fun to do!) This is especially useful when you are down to only a few beads.

I could see this game turning into a real time-sink for me, so I didn't buy it. But I thought I'd pass this tip along anyway.

Thanks for the tip. It would have been nice to have that explained in the game. I could not imagine how I could possibly not be able to solve level 2 in puzzle mode -- now I know. As others have said, it can be very frustrating to have to figure everything out by yourself!

Later edit: The game gives a tip at the bottom of each new level, and after many hours (4?) of playing, I finally saw the tip about shaking the cube.