Fractals

Rauzy fractal

In mathematics, the Rauzy fractal is a fractal set associated with the Tribonacci substitution It was studied in 1981 by GĂ©rard 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. (Wikipedia).

Rauzy fractal
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Radian Illustrator (GeoGebra)

What is a radian? 🤔 Interactive dynamic radius wrapping exploration for Ss: https://www.geogebra.org/m/e3aamere #GeoGebra #MTBoS #ITeachMath #algebra #geometry #trigonometry #mathchat

From playlist Trigonometry: Dynamic Interactives!

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Radian Definition: Dynamic & Conceptual Illustrator

Link: https://www.geogebra.org/m/VYq5gSqU

From playlist Trigonometry: Dynamic Interactives!

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Research: What is a fractal?

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs

From playlist research

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Michael Baake: A cocycle approach to the Fourier transform of Rauzy fractals...

"A cocycle approach to the Fourier transform of Rauzy fractals and the point spectrumof Pisot inflation tilings" The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum ch

From playlist Conference: Transfer operators in number theory and quantum chaos

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Tribonacci Numbers (and the Rauzy Fractal) - Numberphile

Edmund Harriss introduces a very cool tiling and talks about Tribonacci Numbers. More links & stuff in full description below ↓↓↓ Numberphile Podcast: https://www.numberphile.com/podcast Or on YouTube: http://bit.ly/Numberphile_Pod_Playlist More Edmund on Numberphile: http://bit.ly/Ed_Ha

From playlist Edmund Harriss on Numberphile

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Jörg Thuswaldner: S-adic sequences: a bridge between dynamics, arithmetic, and geometry

Abstract: Based on work done by Morse and Hedlund (1940) it was observed by Arnoux and Rauzy (1991) that the classical continued fraction algorithm provides a surprising link between arithmetic and diophantine properties of an irrational number αα, the rotation by αα on the torus 𝕋=ℝ/ℤT=R/

From playlist Dynamical Systems and Ordinary Differential Equations

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Pavages de Penrose au CIRM

Mercredi 23 novembre 2022 : Inauguration de la partition artistique réalisée au Cirm en collaboration avec l'école des beaux-arts - INSEAMM Wednesday, November 23, 2022 Inauguration of the artwork realized at Cirm in collaboration with l'Ecole des Beaux-Arts - INSEAMM 1981-2021 : Le CIRM

From playlist OUTREACH - GRAND PUBLIC

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S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 2)

1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to physics 4. Lyapunov exponents for the Rauzy gasket: what do we know about them 5. Multidimensi

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

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S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 1)

1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to physics 4. Lyapunov exponents for the Rauzy gasket: what do we know about them 5. Multidimensi

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

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mandelbrot fractal animation 5

another mandelbrot/julia fractal animation/morph.

From playlist Fractal

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Michael Magee: Thermodynamical formalism and Markoff-Hurwitz equations

The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum chaos” Abstract: Beginning with the simple question ’when is the sum of the squares of a tuple of integersequal to

From playlist Conference: Transfer operators in number theory and quantum chaos

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Metal Fractal

Playing with high metallic materials for lols.

From playlist Nerdy Rodent Uploads!

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Fractoween

What do you get when you mix fractal flames with spooky music? This. The darkest, most horrific fractals anywhere on the internet. Period. Oh, and don't look behind you...

From playlist Nerdy Rodent Uploads!

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mandelbrot fractal animation 2

just me having my usual fun.

From playlist Fractal

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Pascal Hubert: Exemple d’Arnoux-Yoccoz, fractal de Rauzy, problème de Novikov: brins...

Abstract: I will speak about multidimensional shifts of finite type and their measures of maximal entropy. In particular, I will present results about computability of topological entropy for SFTs and measure-theoretic entropy. I'll focus on various mixing hypotheses, both topological and

From playlist Dynamical Systems and Ordinary Differential Equations

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Fractals are typically not self-similar

An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H

From playlist Explainers

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P. Hubert - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 1)

1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to physics 4. Lyapunov exponents for the Rauzy gasket: what do we know about them 5. Multidimensi

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

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mandelbrot fractal animation 3

red and green.

From playlist Fractal

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60 years of dynamics and number expansions - 12 December 2018

http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa

From playlist Centro di Ricerca Matematica Ennio De Giorgi

Related pages

Fibonacci word | Hausdorff dimension | Connected space | Characteristic polynomial | Vector (mathematics and physics) | Fractal | Self-similarity | Tessellation | Morphic word