It's a good take on the concept in general and the art is cute! I couldn't get past the third level, sadly. Like BT Hadley said, I think it would be a big help to have space as jump because when you switch sides it's not intuitive for Up to jump when your relative 'up' is now down. Likewise a different button for switching dimensions would feel more 'correct' for the same reason. I'm not sure it would help me, personally, to get any further though!