Math’s Heart: The Cardioid @MathVisualProofs

Uploaded February 2026 | Updated September 2026, 2 weeks ago

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 ;

divisbyzero.com/2018/04/02/i-heart-cardioids

gathering4gardner.org/g4g13gift/art/RichesonDavid-GiftExchange-Cardioid-G4G13.pdf

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#math #manim #cardioid #circle #parametric

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