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The dragon curve can be tiled to fill a plane.
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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
- 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