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- W2138848666 abstract "Consider a tiling $mathcal T$ of the two-dimensional Euclidean space made with copies up to translation of a finite number of polygons meeting each other full edge to full edge. In this paper, we prove that, associated with $mathcal T$, there exists a tiling of a (compact) translation surface made with copies up to translation of some of the polygons used to construct $mathcal T$. Furthermore, when $mathcal T$ is repetitive, there exists a tiling of a translation surface, made with copies up to translation of arbitrarily large polygons chosen in a finite collection of patches of $mathcal T$; each of these patches contain copies of all the polygons used to construct $mathcal T$." @default.
- W2138848666 created "2016-06-24" @default.
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- W2138848666 date "2005-12-13" @default.
- W2138848666 modified "2023-09-24" @default.
- W2138848666 title "A note on tilings and translation surfaces" @default.
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- W2138848666 doi "https://doi.org/10.1017/s0143385705000404" @default.
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