On the boundary of self-affine tilings generated by Pisot numbers (Q1396357)
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scientific article; zbMATH DE number 1943266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the boundary of self-affine tilings generated by Pisot numbers |
scientific article; zbMATH DE number 1943266 |
Statements
On the boundary of self-affine tilings generated by Pisot numbers (English)
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30 June 2003
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The author is interested in arithmetic and tiling properties of Pisot numbers. He obtains in particular nice results for the tiles of tilings associated with Pisot numbers: provided some weak condition is satisfied, the Lebesgue measure of the boundary of these tiles is equal to zero.
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first numbers
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tilings
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zero Lebesgue measure
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fractals
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