# Paperfolding Dragon Curve

Paperfolding Dragon Curve

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.