I run hot and cold on Wikipedia, but I stumbled upon this animated GIF of a Knight's Tour, and thought it was worth sharing. The Knight's Tour is a mathematical puzzle that requires a knight to visit every square on the board once using his standard move. The GIF is the work of Ilmari Karonen, and uses the following moves:
There's a beautiful symmetry in the finished solution. If, for some reason, the animation starts in the middle, just let it play out and it should loop around to the beginning.
e8 g7 h5 f6 e4 g3 h1 f2 d1 b2 a4 c3 d5 b6 a8 c7 b5 a7 c8 d6 c4 a3 b1 d2 f1 h2 g4 e3 f5 h6 g8 e7 c6 d8 b7 a5 b3 a1 c2 d4 f3 e1 g2 h4 g6 h8 f7 g5 h7 f8 e6 f4 h3 g1 e2 c1 a2 b4 d3 c5 a6 b8 d7 e5
There's a beautiful symmetry in the finished solution. If, for some reason, the animation starts in the middle, just let it play out and it should loop around to the beginning.