Substitution Tilings

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The pinwheel tiling divides a 1-2 triangle into five similar right triangles, an example of a substitution tiling. This Demonstration shows a variety of different substitution tilings. Set "number of steps" to 0 to see the underlying system.

Contributed by: Ed Pegg Jr (April 2019)
Open content licensed under CC BY-NC-SA




[1] Wikipedia. "Substitution Tiling." (Apr 4, 2019)

[2] E. Pegg Jr. "Shattering the Plane with Twelve New Substitution Tilings Using 2, ϕ, ψ, χ, ρ" from Wolfram Blog—A Wolfram Web Resource.

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