I think this is a really promising start/idea. I had some troubles though.. The controls are tough (for me at least) to use and remember. I made it through the first level after some difficulty manipulating everything for the purple lasers. For the second level I knew the solution, but again had trouble rotating/joining/attaching/detaching.. then I started getting some weird artefacts on shadows before the game ultimately crashed (web build, running on Chrome).
I would play again (on Windows this time) but I find the controls too difficult. I think the main point of this game is the puzzles, and the controls get in the way of that.
Sorry if I'm being too harsh, I do really think its a great puzzle game concept! Have you considered if the game makes sense in a purely grid-based world (no physics)? This would appeal more to casual/puzzle game players like myself.
:)