Actually, I take back my initial observation. It sounds easy at first, but then as you get into it, you find my initial equation is wrong. I am sure this is a question that comes up in a discrete math class, I just cannot remember what it is. 45 would be close if I could rotate the board and only use 1 panel for 4 rotations, but I cannot do that without some form of flag-programming. I will still try it. It would be cool if it could be finished.