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Curated by: Mathematical Visual Proofs (650 videos)
This is a short, animated visual proof demonstrating the infinite sum of the powers of 1/6 using a square. The result is somewhat surprising given that it doesn't seem obvious how to decompose a square into powers of 1/6 and how the resulting area could easily be seen as 1/5 of a square. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! If you like this type of video, here is my geometric sum playlist: https://www.youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw This animation is based on a proof by Tom Edgar from the December 2023 issue of Mathematics Magazine pages 563-565. (https://doi.org/10.1080/0025570X.2023.2266415 ). #mathematics #mathvideo #math #calculus #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricseries #series #infinitesums #infiniteseries #selfsimilarity #fractal To learn more about animating with manim, check out: https://manim.community