Paperfolding Dragon Curve

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Fold a piece of paper in half repeatedly and then unfold the folds uniformly using the same angle. For each choice of angle, you get a different fractal curve; they are called dragon curves. The folding is a predictable substitution system, which causes successive elements to alternate which way they kink out. Each new edge is given by a fixed linear transformation defined by rotating by the angle in alternating directions.

Contributed by: Todd Rowland (March 2011)
Suggested by: Stephen Wolfram
Open content licensed under CC BY-NC-SA



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