Dragon Curve |
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(1) Start with a line segment.
(2) Replace each line segment with two line segments at right angles. This looks like a $90^0$ "elbow". Alternate between elbows that project from each side of the line segments. i.e. left elbows and right elbows.
(3) Repeat (2)
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The Dragon curve has many varied and interesting properties not least that two or more curves fit together - sort of tessellate.