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The properties of a family of tiles with a parameter - MaRDI portal

The properties of a family of tiles with a parameter (Q2642194)

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The properties of a family of tiles with a parameter
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    The properties of a family of tiles with a parameter (English)
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    20 August 2007
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    The authors study topological and tiling properties of a family of self-affine fractal tiles with a real parameter \(\varepsilon\). Both interior and boundary structures are discussed. Moreover, connectedness and tiling properties of the tile \(T_\varepsilon\) are proved to be dependent upon \(\varepsilon\).
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    Self-affine tile
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    Connectedness
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    Boundary dimension
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    Quasi-periodicity
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    Fractal tiles
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