Rotate and Fold Back

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This demonstrates iterations of the map starting with homogeneously distributed points from the unit interval. This map applies a rotation to points in the unit square, folding back those that get sent outside the unit square. Multiple applications of this map yield some interesting and unexpected graphics.

Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

— initial number of points — number of iterations — the constant of the 2D map



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