The Difference of Successive Cubes Modulo 6 (visual proof)

This is a short, animated visual proof demonstrating how to visualize the congruence classes of the difference of two consecutive positive integer cubes. #​manim #math #mathvideo​​ #numbertheory #mtbos​ ​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #squares #modulararithmetic

This animation is based on a visual proof by Claudi Alsina, Hasan Unal, and Roger B. Nelsen from the March 2014 issue of The College Mathematics Journal (https://www.jstor.org/stable/10.4169/college.math.j.45.2.135 - page 135).

To learn more about animating with manim, check out:
https://manim.community

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Music in this
Prelude No. 21 by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/

Source: http://chriszabriskie.com/preludes/

Artist: http://chriszabriskie.com/

Видео The Difference of Successive Cubes Modulo 6 (visual proof) канала Mathematical Visual Proofs