This is a list of fractal topics, by Wikipedia page, See also list of dynamical systems and differential equations topics. * 1/f noise * Apollonian gasket * Attractor * Box-counting dimension * Cantor distribution * Cantor dust * Cantor function * Cantor set * Cantor space * Chaos theory * Coastline * Constructal theory * Dimension * Dimension theory * Dragon curve * Fatou set * Fractal * Fractal antenna * Fractal art * Fractal compression * Fractal flame * Fractal landscape * Fractal transform * Fractint * Graftal * Iterated function system * Horseshoe map * How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension * Julia set * Koch snowflake * L-system * Lebesgue covering dimension * Lévy C curve * Lévy flight * List of fractals by Hausdorff dimension * Lorenz attractor * Lyapunov fractal * Mandelbrot set * Menger sponge * Minkowski–Bouligand dimension * Multifractal analysis * Olbers' paradox * Perlin noise * Power law * Rectifiable curve * Scale-free network * Self-similarity * Sierpinski carpet * Sierpiński curve * Sierpinski triangle * Space-filling curve * T-square (fractal) * Topological dimension (Wikipedia).
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From playlist research
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
What Is A Fractal (and what are they good for)?
Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature. Learn more about all the stuff that MIT is doing and researching with fr
From playlist Science Out Loud
Coding Math: Episode 35 - Intro to Fractals
Here, we begin with one of my favorite mathematical subjects, fractals. This won't be a long fractal marathon, but I'll be dropping a fractal episode now and again. Check out my book on creating fractals with JavaScript, "Playing With Chaos" http://www.playingwithchaos.net Support Codin
From playlist Fractals
Musimathics: Fractals & Self-Similarity (Part 10)
Welcome to the Musimathics series! Musimathics gives an overview of some of the most interesting topics in the field of mathematical music theory! You are watching the tenth video in the series. In this video, Chloe goes over the basics of fractals and self-similarity, as well as their ap
From playlist Musimathics: Music & Math
Summer of math exposition submission- fractal calculus
Fractal Calculus
From playlist Summer of Math Exposition Youtube Videos
In this video, I define a neat concept called the fractal derivative (which shouldn't be confused with fractional derivatives). Then I provide a couple of examples, and finally I present an application of this concept to the study of anomalous diffusion in physics. Enjoy!
From playlist Calculus
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From playlist research
mandelbrot fractal animation 5
another mandelbrot/julia fractal animation/morph.
From playlist Fractal
Asymptotic Analysis of Spectral Problems in Thick Junctions with the Branched...by Taras Mel’nyk
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Painting a Landscape with Maths
Today we are painting a landscape using mathematics. Support this channel: https://www.patreon.com/inigoquilez Buy this painting in a metal, canvas or photographic paper print: https://www.redbubble.com/shop/ap/39843511 This is the link to the real-time rendering code (that you can edit y
From playlist Painting with Maths
Am I attracted to the Sierpinski triangle?
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From playlist research
The Beauty of Fractal Geometry (#SoME2)
0:00 — Sierpiński carpet 0:18 — Pythagoras tree 0:37 — Pythagoras tree 2 0:50 — Unnamed fractal circles 1:12 — Dragon Curve 1:30 — Barnsley fern 1:44 — Question for you! 2:05 — Koch snowflake 2:26 — Sierpiński triangle 2:47 — Cantor set 3:03 — Hilbert curve 3:22 — Unnamed fractal squares 3
From playlist Summer of Math Exposition 2 videos
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From playlist research
The return of swoleios! [Research]
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From playlist research
The return of swoleios! [Research]
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From playlist Algorithm-archive
O. Paris-Romaskevich - Triangle tiling billiards
Tiling billiards is a dynamical system in which a billiard ball moves through the tiles of some fixed tiling in a way that its trajectory is a broken line, with breaks admitted only at the boundaries of the tiles. One can think about this system as a movement of the refracted light. In thi
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Unapologetic research stream 1
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From playlist research
Data Science @Stanford- Bonnie Berger, PhD
Bonnie Berger, PhD, head of the Computational and Biology group at MIT's Computer Science and Artificial Intelligence Laboratory will discuss applying mathematical techniques to problems in molecular biology.
From playlist Data Science @ Stanford
Fast Forward Freehand Fractal!
Preview of a video that'll be dropping in the next few days. This lesson was tons of fun - fractals are awesome. :)
From playlist Mathematical Exploration