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Dragon curve

The dragon curve can be tiled to fill a plane.
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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 \mapsto X+YF+
    • Y \mapsto -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).


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Science Fair Project Encyclopedia Contents Page
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
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