3D Sum of Triangular Numbers (visual proof without words III) скачать в хорошем качестве

3D Sum of Triangular Numbers (visual proof without words III)

This is a short, animated visual proof showing how to find the sum of the first n triangular numbers (which themselves are sums of the first n integers) using six three dimensional stacks of unit cubes. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks! Here are some related videos with sums of triangular numbers:    • Sum of Triangular Numbers I (visual proof)      • Sum of Triangular Numbers II (visual proof...      • Geometry of the Twelve Days of X-mas (visu...   This animation is based on a visual proof by Roger B. Nelsen from the November 1992 issue of The College Mathematics Journal (https://doi.org/10.2307/2686417 - page 417). #manim #math #mathvideo #mathshorts #sequences #triangles #animation #theorem #pww #proofwithoutwords #visualproof #proof #triangularnumbers #sums #pww​ #proofwithoutwords​ ​ #proof​ #algebra #finitesums #mathematics​ #mathvideo​ #mtbos To learn more about animating with manim, check out: https://manim.community _____________________________ Music in this video: Heroism by MaxKoMusic | https://maxkomusic.com/ Music promoted by https://www.free-stock-music.com Creative Commons / Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) https://creativecommons.org/licenses/...