Dragon curve
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| 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 <math>\mapsto<math> X+YF+
- Y <math>\mapsto<math> -FX-Y
- 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 (http://mathworld.wolfram.com/DragonCurve.html)—from MathWorld
- Paperfolding and the Dragon curve (http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node17.html)
- The Mystery of the Paper Dragon (http://philosophy.kitoba.com/fractal/meta1.html#ex1) from the Metaphysics of Chaos