Mindbending concept! I love a weird topology (I've made a level on a 3D mobius strip in one of my bigger games) so I had to play this. I wasn't disappointed.
I got past the first tricky level with the switch that changes the other switch's colour, but couldn't figure out how to approach the one after. Puzzle design is so very tricky to get right. Too easy, and your players get bored. Too difficult, and your players give up. Unfortunately that little goldilocks zone is different for each individual player!
One niggle I had with your game: I thought for a while that the grassy shoots were significant in some way. They're the same green as the green switches, and very promenent. There isn't really any other decoration that stands out, so given more time I think I'd knock them back a bit.
Still, great entry, polished and complete. Nice one!