Aperiodic tilings of the hyperbolic plane by convex polygons (Q1275697)
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scientific article; zbMATH DE number 1239670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Aperiodic tilings of the hyperbolic plane by convex polygons |
scientific article; zbMATH DE number 1239670 |
Statements
Aperiodic tilings of the hyperbolic plane by convex polygons (English)
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9 March 1999
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It is proved that for every \(n\geq 3\) there exists an aperiodic tiling system whose set of tiles consists of a single convex hyperbolic \(n\)-gon. Also another criterion is presented for showing that a given tiling system cannot tessellate a compact quotient of \(H^2\).
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hyperbolic plane
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convex polygon
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aperiodic tiling
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0.9169483
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0.9154176
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0.9113259
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0.90615165
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0.9030966
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