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Squares from alternating triangles (visual proof without words)

This is a short, animated visual proof demonstrating how to visualize the alternating sum of triangular numbers (where we alternate starting from an odd indexed triangular number). If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks! Here's a similar proof:    • Alternating Sum of Triangular Numbers...   (starting with even indexed) Check out these related videos showing the alternating sum of squares formula visualized:    • Alternating Sum Of Squares (visual pr...      • Alternating Sum of Squares II (visual...   Compare this formula to the regular sum of squares formula visualized here:    • Sum of Squares I (visual proof)   This animation is based on a visual proof by Roger Nelsen from the October 1995 issue of Mathematics Magazine (https://www.jstor.org/stable/2690575 ) p. 284. To learn more about animating with manim, check out: https://manim.community #mathshorts​ #mathvideo​ #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #squares #triangularnumbers ___________ Music: Staying in the Moment by Vlad Gluschenko |   / vgl9   Music promoted by https://www.free-stock-music.com Creative Commons / Attribution 3.0 Unported License (CC BY 3.0) https://creativecommons.org/licenses/...