Hey, look at that! I made basically the same game! Well, not quite. I think your approach is really unique. It reminds me of Tetris with the "Next block" screen, but instead it modifies the playing field, kind of like a power up. To be honest, it was quite hard to wrap my head around this concept and even though I also made a puzzle game, I didn't get past "caped-man" (Love that you gave the levels names!), the second non-tutorial level in the game.
Definitely a cool concept, and a REALLY well polished game!