Less a matter of "explore the possibilities", more a matter of "did not register as a possibility". (Even now, after a lot more exploration, I've been finding the details of rotation kind of hard to guess. And sometimes shifting: I got stuck by accidentally getting a square in both sides of GRAB, and couldn't let go of them, and couldn't shift out of it.)
At this point I've got four rooms I can't reach; three of them seem to be locked behind a shape I don't have (i.e., the mirror of GRAB), and the fourth...is north of the eight-lasers room, through an exit that only PUSH can take, behind lasers that only SAFE can pass. I can't tell if I'm missing something, or if there's another one of these trick rotations that would work.
