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Visual Sum of Cubes III

This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes using overlapping gnomons. #mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #finitesums #discretemath #calculus #sum #induction Here are two other visual proofs of the same fact:    • Visual Sum of Cubes II      • Sum Of Cubes I (visual proof)   This animation is based on a visual proofs by Warren Lushbaugh (from an article by Solomon Golomb) in the May 1965 issue of the Mathematical Gazette (https://doi.org/10.2307/3612319). To learn more about animating with manim, check out: https://manim.community ___________________________________________ Music in this video: 100 Seconds by Punch Deck |   / punch-deck   Music promoted by https://www.free-stock-music.com Creative Commons Attribution 3.0 Unported License https://creativecommons.org/licenses/...