The Construction of Self-similar Tilings
نویسنده
چکیده
We give a construction of a self-similar tiling of the plane with any prescribed expansion coefficient λ ∈ C (satisfying the necessary algebraic condition of being a complex Perron number). For any integer m > 1 we show that there exists a self-similar tiling with 2π/m-rotational symmetry group and expansion λ if and only if either λ or λe is a complex Perron number for which e is in Q[λ], respectively Q[λe].
منابع مشابه
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