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An aperiodic set of Wang tiles for every quadratic irrational

math.NT · 2026-06-23 · unverdicted · novelty 7.0

A sufficient condition for aperiodicity of striped Wang tiles is established via parabola geometry, enabling explicit constructions of aperiodic sets for every pair of quadratic irrationals as vertical and horizontal stripe densities.

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  • An aperiodic set of Wang tiles for every quadratic irrational math.NT · 2026-06-23 · unverdicted · none · ref 1

    A sufficient condition for aperiodicity of striped Wang tiles is established via parabola geometry, enabling explicit constructions of aperiodic sets for every pair of quadratic irrationals as vertical and horizontal stripe densities.