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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:
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/1v...

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?)

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