Neat mechanics and concept. The visuals are awesome, I enjoy the subtle point light.
The flipping of directions on the map worked weird with the input controls. I kept getting disoriented and as the levels got more complex I had a harder time discerning whether when I press "A" or "D" it will flip the map or move me to the right. I would have preferred it work as 3 buttons: space button, move right button, and flip map button. Removing the ambiguity of the controls would really help the inversion theme express itself more smoothly. Controls are also a bit touchy, which sent me flying into spikes when trying to adjust my position a few times.
Overall though a nice game, relaxing atmosphere!