Dragon curve
(Redirected from Fractal dragon)
| Dragon curve |
| 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).
External links
- Dragon Curve—from MathWorld
- Paperfolding and the Dragon curve
- The Mystery of the Paper Dragon from the Metaphysics of Chaos
Categories: Mathematics stubs | Curves | Fractals