Pinwheel Tiling

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recursion level
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modify hue
4.3
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).

Details

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

External Links

Aperiodic Tiling (Wolfram MathWorld)
Rep-Tile (Wolfram MathWorld)

Permanent Citation

Ed Pegg Jr
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​"Pinwheel Tiling"​
​http://demonstrations.wolfram.com/PinwheelTiling/​
​Wolfram Demonstrations Project​
​Published: January 1, 1999