An animated introduction to the Fourier Transform.
Help fund future projects: https://www.patreon.com/3blue1brown.
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/fourier-thanks.
Learn more about Janestreet: https://janestreet.com/3b1b.

Follow-on video about the uncertainty principle: https://youtu.be/MBnnXbOM5S4

Interactive made by a viewer inspired by this video:
https://prajwalsouza.github.io/Experiments/Fourier-Transform-Visualization.html.

Also, take a look at this Jupyter notebook implementing this idea in a way you can play with:
https://github.com/thatSaneKid/fourier/blob/master/Fourier%2…tion.ipynb.

Thanks to these viewers for their contributions to translations.
Hebrew: Omer Tuchfeld.
Russian: xX-Masik-Xx.
Vietnamese: @ngvutuan2811

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Animations largely made using manim, a scrappy open-source python library. https://github.com/3b1b/manim.