[math-fun] Josephus = Fractal

Student Daisuke Minematsu and his classmates have noticed that the Josephus problem has fractal behavior. http://demonstrations.wolfram.com/TheJosephusProblemInBothDirections/ Here's a specific image: http://demonstrations.wolfram.com/TheJosephusProblemInBothDirections/HTMLIma...  Seems like a great result for a classic problem.  It's new to me.  Is it actually new? --Ed Pegg Jr