This is a short, animated visual proof demonstrating the infinite sum of the powers of 1/2 using an isosceles triangle. #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricseries #series #infinitesums #infiniteseries
Here is a bit longer and slower version (with dramatic music and no words): [ Ссылка ]
This animation is based on a proof by Roger B. Nelsen from the February 2006 issue of Mathematics Magazine page 60. ([ Ссылка ]).
To learn more about animating with manim, check out:
[ Ссылка ]
![](https://i.ytimg.com/vi/RoovN01q83Y/maxresdefault.jpg)