Fractals

Fractal transform

The fractal transform is a technique invented by Michael Barnsley et al. to perform lossy image compression.This first practical fractal compression system for digital images resembles a vector quantization system using the image itself as the codebook. (Wikipedia).

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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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mandelbrot julia rotation 4

rotation around some two axes at some offset.

From playlist Fractal

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mandelbrot fractal animation 5

another mandelbrot/julia fractal animation/morph.

From playlist Fractal

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Fractal Derivative

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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mandelbrot fractal animation 3

red and green.

From playlist Fractal

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mandelbrot fractal animation 2

just me having my usual fun.

From playlist Fractal

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Realtime 3D Fractal Renders

I'm working on an engine to create 3D fractals like these, and I made a few renders I thought looked really nice. How 3D Fractals Work: https://www.youtube.com/watch?v=svLzmFuSBhk Rendered using PySpace: https://github.com/HackerPoet/PySpace Music "Perfect Fracture" by Ecko https://soun

From playlist Fractals & Math

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Fractal Graph 4

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/8wEX

From playlist 3D printing

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Coding Math: Episode 50 - IFS Fractals

Combining everything from episodes 47 - 49 to create some cool fractal images. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath http://jsbin.com/fevira/1/edit?html,css,js,output

From playlist Fractals

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Ahlfors-Bers 2014 "Conformal invariance and critical behavior within critical fractal carpets"

Wendelin Werner (ETH Zürich): Some aspects of conformal invariance can survive within fractal carpets in the plane. In the present talk, I will survey how it is possible to make sense in a rather precise way of certain of these ideas in the special case of certain random -- yet very natura

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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We need to talk... about fractals!

So yeah. Fractal trees are hard to make. We did what we could. -- Watch live at https://www.twitch.tv/simuleios

From playlist Fractal

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Fractal Christmas Trees

Working on the Fractal Flame method for creating some Christmas trees! I'm hoping it works out before Christmas! -- Watch live at https://www.twitch.tv/simuleios

From playlist Misc

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Integrability in the Laplacian Growth Problem by Eldad Bettelheim

Program : Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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Additive Energy of Regular Measures in One and Higher Dimensions, and the Fractal... - Laura Cladek

Analysis & Mathematical Physics Topic: Additive Energy of Regular Measures in One and Higher Dimensions, and the Fractal Uncertainty Principle Speaker: Laura Cladek Affiliation: von Neumann Fellow, School Of Mathematics Date: December 14, 2022 We obtain new bounds on the additive energy

From playlist Mathematics

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Why chaos games suck on GPUs

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

From playlist research

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From order to chaos - Pisa, April, 12 - 2018

Centro di Ricerca Matematica Ennio De Giorgi http://crm.sns.it/event/419/ FROM ORDER TO CHAOS - Pisa 2018 Funded by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement N°647133) and partially supported by GNAMPA-I

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Semiclassical analysis, chaotic dynamics, and fractal uncertainty principle - Semyon Dyatlov

Emerging Topics Working Group Topic: Semiclassical analysis, chaotic dynamics, and fractal uncertainty principle Speaker: Semyon Dyatlov Affiliation: Massachusetts Institute of Technology Date: October 10, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Only you can prevent fractal fires, Day 2

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

From playlist research

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The Fourier Transform and Derivatives

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow

From playlist Fourier

Related pages

Fractal compression | Algorithm