Sum Of Cubes I (visual proof)
This is a short, animated visual proof giving a formula for the sum of the first n positive cubes. #mathshorts #mathvideo #math #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #cubes #mathematics #sum
This animation is based on a visual proof by Georg Schrage from the June 1992 issue of Mathematics Magazine (https://doi.org/10.2307/2691330 - page 185).
To learn more about animating with manim, check out:
https://manim.community
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Background music, used according to CC BY-SA 3.0, is "The Road" from Esteban Orlando:
Esteban Orlando:
https://soundcloud.com/orlando-esteba...
https://www.instagram.com/estebanorla...
https://creativecommons.org/licenses/...
Music provided by RFM: https://youtu.be/b4KCM1bIq50
https://www.youtube.com/watch?v=NxOcT_VKQR0