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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,
Watch video The secret π in the Mandelbrot Set online without registration, duration hours minute second in high quality. This video was added by user vcubingx 06 August 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 27,576 once and liked it 1 thousand people.