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Currently Playing: 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, 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/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,