Good game.
I like this twist on the tile-capturing genre (don't know if this genre has a name). These kind of games always use numeric comparisons to capture the opponent's tiles and I think that using instead flip, rotate and swap arrows makes the game more deep and strategic (e.g. sometimes flipping tiles your color has some disadvantages).
I think that in the current state this game would work best in a digital format rather than a physical one. Each time a player chooses to flip 1 tile, up to 8 other tiles would need to be flipped or rotated. This things are handled best by computer. In a physical setting the player would spend ~10 second (up to 30 seconds each turn) just flipping and rotating tiles without any interesting decision.