Dragon Curve

The Dragon Curve or Dragon Fractal is a nifty little shape!

Here are the first 12 iterations. You see the dragon shape begin to emerge. I've put a red dot before each one, so you can see how it doesn't always go forward right away.

The "TwinDragon" is achievable by drawing two dragons, one after the other, with a 180 degree turn in the middle. They fit snugly together, or as Mathematicians says, they 'tile the plane'.

See Also

 

Logo + Turtle graphics via Papert (via archive.org)