About: Rauzy fractal

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In mathematics, the Rauzy fractal is a fractal set associated with the Tribonacci substitution It was studied in 1981 by Gérard Rauzy, with the idea of generalizing the dynamic properties of the Fibonacci morphism.That fractal set can be generalized to other maps over a 3-letter alphabet, generating other fractal sets with interesting properties, such as periodic tiling of the plane and self-similarity in three homothetic parts.

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  • La fractale de Rauzy (ou, au masculin, « le fractal de Rauzy ») est une figure fractale associée à la substitution de Tribonacci : , , . Cette étude a été réalisée en 1981 par Gérard Rauzy, dans l'objectif de généraliser les propriétés dynamiques de la substitution de Fibonacci.Cette fractale se généralise à d'autres substitutions à trois lettres, générant d'autres figures aux propriétés intéressantes (pavage périodique du plan, auto-similarité en 3 parties homothétiques...). (fr)
  • In mathematics, the Rauzy fractal is a fractal set associated with the Tribonacci substitution It was studied in 1981 by Gérard Rauzy, with the idea of generalizing the dynamic properties of the Fibonacci morphism.That fractal set can be generalized to other maps over a 3-letter alphabet, generating other fractal sets with interesting properties, such as periodic tiling of the plane and self-similarity in three homothetic parts. (en)
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  • La fractale de Rauzy (ou, au masculin, « le fractal de Rauzy ») est une figure fractale associée à la substitution de Tribonacci : , , . Cette étude a été réalisée en 1981 par Gérard Rauzy, dans l'objectif de généraliser les propriétés dynamiques de la substitution de Fibonacci.Cette fractale se généralise à d'autres substitutions à trois lettres, générant d'autres figures aux propriétés intéressantes (pavage périodique du plan, auto-similarité en 3 parties homothétiques...). (fr)
  • In mathematics, the Rauzy fractal is a fractal set associated with the Tribonacci substitution It was studied in 1981 by Gérard Rauzy, with the idea of generalizing the dynamic properties of the Fibonacci morphism.That fractal set can be generalized to other maps over a 3-letter alphabet, generating other fractal sets with interesting properties, such as periodic tiling of the plane and self-similarity in three homothetic parts. (en)
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  • Fractale de Rauzy (fr)
  • Rauzy fractal (en)
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