Squeeze

• Plastic Number
• Polytopal Tiles
• Self-Similar Substitution

Info

One possible version of a substitution rule with a free parameter: The upper tip of the three triangles can be shifted arbitrarily in horizontal direction, the result is always a self-similar substitution.

The inflation multiplier is the smallest PV number, the Plastic Number which is a root of the polynomial $x^3 - x - 1 = 0$.

Substitution Rule

Patch

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