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Curated by: Mathematical Visual Proofs (650 videos)
Math’s Heart: The Cardioid In this short video, we show how the famous cardioid curve arises as the envelope of a collection of lines in a circle each connecting point n with 2n mod 150 in a set of 150 equally spaced points around the circle. The cardioid can also be generated with the parametric equations at the end. To learn more about this fascinating curve, I recommend the article and blog post “I heart cardioids” by Dave Richeson ; https://divisbyzero.com/2018/04/02/i-heart-cardioids/ https://www.gathering4gardner.org/g4g13gift/art/RichesonDavid-GiftExchange-Cardioid-G4G13.pdf If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! #math #manim #cardioid #circle #parametric To learn more about animating with manim, check out: https://manim.community