Dragon curve - Definition and Overview

The dragon curve can be tiled to fill a plane.

A dragon curve is a well-known recursively defined 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°.

External links

• Dragon Curve—from MathWorld (http://mathworld.wolfram.com/DragonCurve.html)
• 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