I was on autopilot and accidentally submitted it instead of testing it, from the test I did afterwards it seems to be fully logical though you'll need 2D logic to finish it (that or just guess bits).
The picture is very beautiful, but I have not found a clever and / or short reasoning to lead the way for solving. I also tried something similar, a snake, but the result was always ugly or illogical. The snake seems to be a very powerful devil.
The picture is very nice, thank you Teesea. Last 10 rows can be found with only single-line logic, for the rest I used 2D-logic and temporaries, but it's fully logic.