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Taylor–Socolar Hexagonal Tilings as Model Sets

Taylor–Socolar Hexagonal Tilings as Model Sets

The Taylor–Socolar tilings are regular hexagonal tilings of the plane but are distinguished in being comprised of hexagons of two colors in an aperiodic way. We place the Taylor–Socolar tilings into an algebraic setting, which allows one to see them directly as model sets and to understand the corresponding tiling …