Coding Challenge 125: Fourier Series

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Published on December 19, 2018 11:56:51 PM ● Video Link: https://www.youtube.com/watch?v=Mm2eYfj0SgA

Duration: 28:47

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In this coding challenge, I visualize a Fourier series for a square wave in JavaScript with p5.js. Code: https://thecodingtrain.com/challenges/125-fourier-series

🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/sketches/SJ02W1OgV

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References:
🗄 Fourier Series: https://en.wikipedia.org/wiki/Fourier_series
📄 Purrier Series (Meow) and Making Images Speak: http://bilimneguzellan.net/purrier-series-meow-and-making-images-speak/
📄 An Interactive Guide To The Fourier Transform by Better Explained: https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/

Videos:
🎥 What is a Fourier Series?: https://youtu.be/ds0cmAV-Yek
🎥 But what is the Fourier Transform? A visual introduction: https://youtu.be/spUNpyF58BY
🚂 Polar Coordinates: https://www.youtube.com/watch?v=O5wjXoFrau4
🔴 Coding Train Live 163: https://youtu.be/pKyU92cza0Y?t=2390s

Related Coding Challenges:
🚂 #61 Fractal Spirograph: https://youtu.be/0dwJ-bkJwDI
🚂 #130 Drawing with Fourier Transform and Epicycles: https://youtu.be/MY4luNgGfms

Timestamps:
00:00 Welcome! Some resources on the Fourier Series
02:44 Explain! What is a Fourier Series?
07:00 Code! Create a dot spinning around a circle!
11:41 Code! Draw the wave path of the dot!
14:41 Oops! Invert the order of the wave!
16:16 Code! Add multiple circle waves!
23:50 Code! Draw the Fourier series!
25:30 Code! Add slider for number of circles!
27:39 Suggestions

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

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🔗 p5.js: https://p5js.org
🔗 p5.js Web Editor: https://editor.p5js.org/
🔗 Processing: https://processing.org

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#fourier #maths #javascript #p5js