ant starts at 0,0 and has a grid pointing one direction except edges point inward. every step it moves in direction of arrow and turns previous box 90 degrees. if ant goes off top or bottom edges it returns (blank) so it goes to 0,0 again, if you can figure out how to make top and bottom loop be my guest, i can't be bothered.
only "4" possible outcomes (just rotations) will be same every time. would have a cool pattern if inf grid but oh well