Interesting concept for a puzzle, but the current controls, while accurate for actual gerrymandering, make the game awkward to play, but also too easy. If you want to keep the polygon creating concept, then the points of the polygons should be draggable, otherwise a misclick ruins it
With the freeform polygon creation, I think this game can never be challenging. Maybe the way to go is to have the player place pre-made polygons on the map to create regions, that way it's kind of like a tangram puzzle. Or limit polygon creation to only straight and 45 degree diagonal lines. Both ways would need some verification of solvability though, full random won't do it