How to Curve Your Dragon

The Dragon curve in Jurassic Park

A beautifully done unfolding of the dragon curve hinting on its self-similarity

A giant dragon curve drawn by hand

Donald Knuth on dragon curves and learning curves

Curve your own baby dragon

All you need is a strip of paper. Fold the strip in half repeatedly (4 or 5 times), then unfold it at right angles.

The paper folding construction explains how the curve turns left and right. 1 = left turn, 0 = right turn

1
110
1101100
110110011100100
What's the next number?

Another way of looking at it

Fractal geometry in nature and digital animation

The fractal dimension of the dragon curve is log(2)/log(√2) = 2, thus it's a space-filling curve.

Image source: Prokofiev (Wikipedia)

Dragon curve to music