Three times the sum of positive powers of 1/4 is equal to 1. @MathVisualProofs

Uploaded April 2025 | Updated September 2026, 2 weeks ago

Three times the sum of positive powers of 4 is equal to 1.

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#manim #math #geometricseries #infinitesum #animation #mathvideo #iteachmath #theorem #maximus #mynamesjeff #dissection #proof #proofs #proofwithoutwords

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Three times the sum of positive powers of 1/4 is equal to 1.

Summing Powers of 4 with Self Similarity

Unhinged or Hinged Proof of the Pythagorean Theorem? (visual proof IX)

$Self-Similar Geometric Sum in a Square: Adding Powers of 1/2 Visually! This is a short, animated visual proof demonstrating the infinite sum of the powers of 1/2 using a square. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! If you like this type of video, here is my geometric sum playlist: https://www.youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw This dissection is loosely based on a proof by Roger B. Nelsen from the February 2006 issue of Mathematics Magazine page 60. (https://doi.org/10.2307/27642904). An animated version of that exact dissection is here: https://youtube.com/shorts/RoovN01q83Y or https://youtu.be/saJJGNlsfn8 #mathematics #mathvideo #math #calculus #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricseries #series #infinitesums #infiniteseries #selfsimilarity #fractal To learn more about animating with manim, check out: https://manim.community$

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