The Dragon Curve is a fractal pattern formed as the result of an infinite iterative process.

(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)

Order 1 Order 2 Order 3 Order 4
Order 5 Order 6 Order 7 Order 8
Order 9 Order 10 Order 11 Order 12

The Dragon curve has many varied and interesting properties not least that two or more curves fit together - sort of tessellate.

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