The image below shows the 12th iteration of the Heighway dragon curve. Click on the play button to see an animation of how one can traverse this curve from the "tail" on the left to the "head" on the right while alternating horizontal and vertical turns with the path intersecting only at corners and never crossing. The curve turns right at the end of each Red segment and turns left at the end of each bLue segment. The three buttons labeled slower, normal, and faster will adjust the drawing speed.
