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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

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References

[1] Wikipedia. "Substitution Tiling." (Apr 4, 2019) en.wikipedia.org/wiki/Substitution_tiling.

[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. blog.wolfram.com/2019/03/07/shattering-the-plane-with-twelve-new-substitution-tilings-using-2-phi-psi-chi-rho.

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