This is a very cool idea for a game and it works very well. I am not sure if it is only my PC (I did play this on my game dev. PC and not the FPS gaming PC), but the performance was not very good. It lagged quite a bit.
One thing which was not so intuitive was that always the smaller piece falls off. So sometimes it was the top piece. For me it would have felt more natural if only the lower piece would fall of, but I am not so sure if this is easy to achieve. It might not be clear which piece should fall of when people cut more vertically. Was the weight not fully linear? I had sometimes the feeling that the weight dropped more even the piece was almost the same size as the last piece.
Anyway, still a very cool game and congratulations to this unique and innovative game! Well done!