This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging triangular arrays into a larger triangular array.
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Here are four other visual proofs of sum of cubes formulas:
https://youtu.be/YQLicI8R4Gs
https://youtu.be/Ye9OPNqV9FA
https://youtu.be/NxOcT_VKQR0
https://youtu.be/d1yM6Rq7Tfw
This animation is based on a visual proof by Parames Laosinchai from the December 2012 issue of Mathematics Magazine (https://www.jstor.org/stable/10.4169/math.mag.85.5.360 page 360).
To learn more about animating with manim, check out:
https://manim.community
#mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath #calculus #sum #induction
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Music in this video:
Voice of Earth by Alex-Productions | https://onsound.eu/
Music promoted by https://www.free-stock-music.com
Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
https://creativecommons.org/licenses/by/3.0/deed.en_US
