Oh man I was so confused when I couldn't solve level 2. I even double checked the instructions that there was no rotate key. I'm on a laptop with a nub for a mouse and I'm spamming various keys to try to figure out how to get a piece to rotate and I haven't been successful.

I can also select a piece and hit space and it grows in size and goes outside of its box for some reason? Is that relevant to solving puzzles? Or a bug? I guess I won't find out since I can't rotate pieces to progress further ....