Paper-Folded Fractal Pattern - Know the Name?

[davee123]

I'm not exactly even sure what group to post this in-- as a child (perhaps 10 years old or so), I happened upon this fractal pattern by folding a piece of paper in half multiple times. Anyway, some years later, when I learned more about fractals, I recognized it for what it was, but I never was able to find out if it had a proper name. Anyone recognize it?

DaveE

 

[Borek]

Google for Hilbert, Sierpinski and Moore curves, although it is neither of these.

Edit: http://en.wikipedia.org/wiki/Dragon_curve

 

[davee123]

Google for Hilbert, Sierpinski and Moore curves, although it is neither of these.

Edit: http://en.wikipedia.org/wiki/Dragon_curve

Woah, thanks! I had remembered "Julia sets", but those were clearly wrong. Neat to see that they even mention the unfolding paper example in the wiki article.

DaveE