Dragon curve
| Missing image Fractal_dragon_curve.jpg Dragon curve |
| Missing image Pavement_with_dragons.png The dragon curve can be tiled to fill a plane. |
A dragon curve is a well-known recursively defined fractal curve, similar in vein to the von Koch snowflake.
It can be formed by paper-folding methods and can be written as a Lindenmayer system with
- initial string FX
- string rewriting rules
- X
X+YF+
- Y -FX-Y
- X
- angle 90°
Paper folding
You can make a dragon curve by folding a strip of paper always to the same side, and then unfolding it 90 degrees (see below).
Missing image
Dragon_curve_paper_strip.png
External links
- Dragon Curve—from MathWorld
- Paperfolding and the Dragon curve
- The Mystery of the Paper Dragon from the Metaphysics of Chaos