Presume you start with a perfect sphere of sufficient size that you can complete all of the movements without going outside the boundaries of a single hemisphere of it. On that sphere, you make a movement of 10 feet, turn right exactly 60 degrees, move 10 feet, then turn right exactly 60 degrees, and continue doing this. Do you end up exactly where you started and trace over that same path, or does your path make a type of spiral as you go across the surface and continue the moves? Need some type of proof on this if possible.