Disk-like self-affine tiles in \(\mathbb{R}^2\) (Q5955148)
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scientific article; zbMATH DE number 1703267
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Disk-like self-affine tiles in \(\mathbb{R}^2\) |
scientific article; zbMATH DE number 1703267 |
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Disk-like self-affine tiles in \(\mathbb{R}^2\) (English)
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18 March 2003
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The authors give simple necessary and sufficient conditions for self-affine \({\mathbb Z}^2\)-tiles in \({\mathbb R}^2\) to be homeomorphic to a disk. These conditions are formulated in terms of \({\mathcal F}\)-connectedness of the digit set of a tile, where \({\mathcal F}\) is a (sub-)set of neighbors of a tile.
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self-affine tiles
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disk-like tiles
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