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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.
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?
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)
Image source: Prokofiev (Wikipedia)
Dragon curve to music
