See  Daniel Tubbenhauer on p-adic Arithmetic  and  Norman Wildberger's Five Fingered Gauntlet For Pure Mathematicians . Subscribe to  G4G Celebration . See  GXWeb Continued Fraction Arithmetic  which is an online tool for computing with continued fraction expansions. Here's a description of the Dragon Curve in terms of the parity of folds you get when you repeatedly fold a piece of paper in half in the same direction, then open it out just a bit  and look down on the edges of the paper sheet. Look at the 90 degree turns as your eye follows along the edge. As the number of folds increases, you generate a sequence like this: R, RRL, RRLRRLL, RRLLLRRLLLRL, ... Now the description in the video  might make a bit more sense: Take a piece of paper and fold it in half. Fold a few more times in the same direction, then open out your page.  You will see a series of bends, in what at first might seem to be an irregular sequence, but forming what is known as the P...