This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes. #mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #finitesums #discretemath #calculus #sum #induction

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 ([ Ссылка ]) and, independently, Antonella Cupillari from the October 1989 issue of Mathematics Magazine page 259 ([ Ссылка ]).

To learn more about animating with manim, check out:
[ Ссылка ]

Music by Rafael Krux ([ Ссылка ])

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