The secret π in the Mandelbrot Set @vcubingx

vcubingx | The secret π in the Mandelbrot Set @vcubingx | Uploaded 2 years ago | Updated 1 hour ago
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The mandelbrot set is probably the single most iconic picture in all of math. Yet, somehow, someway, there's always something about this fractal that I find myself scratching my head about. Today, let's look at one of those things :)

The source code for the animations can be found here:
github.com/vivek3141/videos, which utilize manim: github.com/3b1b/manim

Huge thanks to @alfcnz, @Bean_Piano for reviewing and helping me with the video!

You can find my sources here (including the code used to generate the zoom in section, which I did not do myself, and the math behind how the colors are generated): docs.google.com/document/d/1vZidyO8ujH6X7xIcNFavzsTs7kcl57TrPQrRnBoYciU/edit

A portion of this video was sponsored by Wren.

Music (In order)
Knowmadic - Faces chll.to/892bc12e
Philanthrope, mommy - embrace chll.to/7e941f72
Philanthrope, Idealism - Still chll.to/a110849c
Jujutsu Kaisen (but its okay if its lofi?)

Follow me!
Website: vcubingx.com
Twitter: twitter.com/vcubingx
Github: github.com/vivek3141
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Patreon: patreon.com/vcubingx

The unexpected pi hidden in the Mandelbrot Set
Some tags: vcubingx, v cubingx, vcubing x, v cubing x, mandelbrot set, pi, fractal,

$The secret π in the Mandelbrot Set Support me on Patreon! https://patreon.com/vcubingx Offset your carbon footprint on Wren: https://www.wren.co/start/vcubingx The first 100 people who sign up will have 10 extra trees planted in their name! The mandelbrot set is probably the single most iconic picture in all of math. Yet, somehow, someway, theres always something about this fractal that I find myself scratching my head about. Today, lets look at one of those things :) The source code for the animations can be found here: https://github.com/vivek3141/videos, which utilize manim: https://github.com/3b1b/manim Huge thanks to @alfcnz, @Bean_Piano for reviewing and helping me with the video! You can find my sources here (including the code used to generate the zoom in section, which I did not do myself, and the math behind how the colors are generated): https://docs.google.com/document/d/1vZidyO8ujH6X7xIcNFavzsTs7kcl57TrPQrRnBoYciU/edit A portion of this video was sponsored by Wren. Music (In order) Knowmadic - Faces https://chll.to/892bc12e Philanthrope, mommy - embrace https://chll.to/7e941f72 Philanthrope, Idealism - Still https://chll.to/a110849c Jujutsu Kaisen (but its okay if its lofi?) Follow me! Website: https://vcubingx.com Twitter: https://twitter.com/vcubingx Github: https://github.com/vivek3141 Instagram: https://instagram.com/vcubingx Patreon: https://patreon.com/vcubingx The unexpected pi hidden in the Mandelbrot Set Some tags: vcubingx, v cubingx, vcubing x, v cubing x, mandelbrot set, pi, fractal,$

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$The Fractional Derivative, what is it? | Introduction to Fractional Calculus This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem. Brachistochrone: https://www.youtube.com/watch?v=skvnj67YGmw https://www.youtube.com/watch?v=Cld0p3a43fU This video was mostly a video adaptation of this article: https://medium.com/cantors-paradise/fractional-calculus-48192f4e9c9f Follow Me! https://instagram.com/vcubingx https://github.com/vivek3141 https://twitter.com/vcubingx Music by ChillHop #calculus #fractional #math This video was animated using manim: https://github.com/3b1b/manim Source code for the animations: https://github.com/vivek3141/videos Sources: https://docs.google.com/document/d/1KNcPoYom2UbF5nyH2tmktfs67kyL7-upfiRKbqu BM/edit?folder=0AF8kt9Iej-LyUk9PVA 0:00 Introduction 1:20 Fractional Integration 6:31 The Left R-L Fractional Derivative 11:22 The Tautochrone Problem$ $Why does π show up in the Mandelbrot Set? #maths #science #fractal #physics #mathematics #animation$

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