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P3 Tiling

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A step-by-step algorithm for generating Penrose's P3 rhombus tiling

The piece walks through how to construct the P3 variant of Penrose tilings, an aperiodic pattern that covers the plane using just two rhombus-shaped prototiles. It explains the concept of tilings, periodicity, and how P3 relates to P1 and P2, then presents four substitution rules based on Robinson triangles that can be recursively applied to build increasingly detailed versions of the pattern.