Self affine tiling and Pisot numeration system (Q2707583)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self affine tiling and Pisot numeration system |
scientific article |
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3 April 2001
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Pisot numbers
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self-affine tiling
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Self affine tiling and Pisot numeration system (English)
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The author studies tilings of a Euclidean space, generated by means of Pisot numbers. It is proved that if a Pisot number is a unit, and satisfies a finite expansibility property, then the origin is an inner point of the corresponding central tile. Under an additional condition, the tiles are shown to be arcwise connected.NEWLINENEWLINEFor the entire collection see [Zbl 0932.00040].
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