A simple fractal
that can be made with a piece of paper
. Basically, take a nice, long piece of paper, fold it half, then fold it in half again, then fold it in half again. Unfold it so that all the folds are 90-degree angles
. You now have a 3rd order dragon fractal!
Of course, you can repeat the folding process again to get higher order dragon fractals. About the most you can do is 8th order. Any more than that, and you'll have to write a computer program to draw it for you, which really isn't very hard (e.g. http://www.crosswinds.net/~kodkod/fractal/tut06.html).
Here are the first few stages of the dragon fractal, in ASCII.
| Order 1
| |__ Order 2
_| Order 3
_| Order 4