Paperfolding Dragon Curve

Initializing live version
Download to Desktop

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


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send