Coding Challenge 125: Fourier Series

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 🎥 Previous video: https://youtu.be/mhjuuHl6qHM?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 🎥 Next video: https://youtu.be/-OL_sw2MiYw?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 🎥 All videos: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 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 🚂 Website: http://thecodingtrain.com/ 👾 Share Your Creation! https://thecodingtrain.com/guides/passenger-showcase-guide 🚩 Suggest Topics: https://github.com/CodingTrain/Suggestion-Box 💡 GitHub: https://github.com/CodingTrain 💬 Discord: https://thecodingtrain.com/discord 💖 Membership: http://youtube.com/thecodingtrain/join 🛒 Store: https://standard.tv/codingtrain 🖋️ Twitter: https://twitter.com/thecodingtrain 📸 Instagram: https://www.instagram.com/the.coding.train/ 🎥 Coding Challenges: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 🎥 Intro to Programming: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6Zy51Q-x9tMWIv9cueOFTFA 🔗 p5.js: https://p5js.org 🔗 p5.js Web Editor: https://editor.p5js.org/ 🔗 Processing: https://processing.org 📄 Code of Conduct: https://github.com/CodingTrain/Code-of-Conduct This description was auto-generated. If you see a problem, please open an issue: https://github.com/CodingTrain/thecodingtrain.com/issues/new #fourier #maths #javascript #p5js