Sum Cubes with Triangles (visual proof without words V)

Published: 09 December 2023
on channel: Mathematical Visual Proofs
6,388
364

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:

   • 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

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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/...


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