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.
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!
Here are four other visual proofs of sum of cubes formulas:
• Sum of Cubes IV (Nicomachus's Theorem)
• Visual Sum of Cubes II
• Sum Of Cubes I (visual proof)
• Visual Sum of Cubes III
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/... 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
___________________________________________
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/...
Смотрите видео Sum Cubes with Triangles (visual proof without words V) онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Mathematical Visual Proofs 09 Декабрь 2023, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 6,388 раз и оно понравилось 364 людям.