Paperfolding Dragon Curve
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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