Fabulous game! I'm a huge fan of _The Witness_, and Heikō really scratches that itch. Thank you!
I think I must have missed one of the rules. The first (rotating) puzzle in the bottom-rightmost level seems like you need to have the bottom left spinner changed to white to make the desired shape, but that leaves 1 extra permanent white hex.
Did I miss a rule? This is as close as I can get, and I've been struggling with this puzzle for about a week.