Coding Challenge 182: Apollonian Gasket Fractal

From the creator

Happy Pi Day 2024! In this video, I attempt to create an Apollonian Gasket using the Descartes Circle Theorem and complex numbers. So many circles! Code: https://thecodingtrain.com/challenges/182-apollonian-gasket 🚀 Watch this video ad-free on Nebula https://nebula.tv/videos/codingtrain-coding-challenge-182-apollonian-gasket p5.js Web Editor Sketches: 🕹️ Apollonian Gasket: https://editor.p5js.org/codingtrain/sketches/zrq8KHXnO 🕹️ Colorful Recursive Gaskets in Gaskets: https://editor.p5js.org/codingtrain/sketches/leBpmVwaM 🎥 Previous: https://youtu.be/Bxdt6T_1qgc?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 🎥 All: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH References: 🔗 Apollonian Gasket: https://en.wikipedia.org/wiki/Apollonian_gasket 🔗 A Tisket, a Tasket, an Apollonian Gasket: https://www.americanscientist.org/article/a-tisket-a-tasket-an-apollonian-gasket 🔗 Apollonian Gaskets: https://mathlesstraveled.com/2016/04/27/apollonian-gaskets/ 🔗 Beyond the Descartes Circle Theorem: https://arxiv.org/pdf/math/0101066.pdf 🔗 The Kiss Precise: https://www.nature.com/articles/1371021a0#preview 🔗 Frederick Soddy: https://en.wikipedia.org/wiki/Frederick_Soddy 🔗 Problem of Apollonius: https://en.wikipedia.org/wiki/Problem_of_Apollonius 🔗 Four Proofs of a Generalization of the Descartes Circle Theorem: https://www.jstor.org/stable/2316373 🔗 Beyond the Descartes Circle Theorem: https://arxiv.org/pdf/math/0101066.pdf 🔗 Descartes' theorem: https://en.wikipedia.org/

Published 2024-03-14 · Watch on YouTube ↗
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