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- Eine Translationsfläche ist ein mathematisches Objekt aus dem Teilgebiet der Geometrie. Es gibt mehrere äquivalente Möglichkeiten, diese Fläche zu definieren. In diesem Artikel wird die Definition mittels Karten gewählt. (de)
- In mathematics a translation surface is a surface obtained from identifying the sides of a polygon in the Euclidean plane by translations. An equivalent definition is a Riemann surface together with a holomorphic 1-form. These surfaces arise in dynamical systems where they can be used to model billiards, and in Teichmüller theory. A particularly interesting subclass is that of Veech surfaces (named after William A. Veech) which are the most symmetric ones. (en)
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- Eine Translationsfläche ist ein mathematisches Objekt aus dem Teilgebiet der Geometrie. Es gibt mehrere äquivalente Möglichkeiten, diese Fläche zu definieren. In diesem Artikel wird die Definition mittels Karten gewählt. (de)
- In mathematics a translation surface is a surface obtained from identifying the sides of a polygon in the Euclidean plane by translations. An equivalent definition is a Riemann surface together with a holomorphic 1-form. These surfaces arise in dynamical systems where they can be used to model billiards, and in Teichmüller theory. A particularly interesting subclass is that of Veech surfaces (named after William A. Veech) which are the most symmetric ones. (en)
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- Translationsfläche (de)
- Translation surface (en)
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