Pinwheel Tiling

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.

The Federation Square buildings in Melbourne, Australia feature an aperiodic pinwheel tiling attributed to Charles Radin. This tiling starts with a 1-2 right triangle, then divides it into 5 identical triangles, thus illustrating an order-5 rep-tile (a tile that can replicate itself).

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

E. Pegg Jr. "Melbourne, City of Math." MAA Online. (Sep 5, 2006) http://www.maa.org/editorial/mathgames/mathgames_09_05_06.html.



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