This is a short, animated visual proof showing the sum of the infinite geometric series of powers of 1/6 (starting with 1/6) is 1/5 using a general method of dissecting a circle into a small circle and annular sectors.
For a different version using polygons (and without words) check out : [ Ссылка ]
This animation is based on a proof by James Tanton from the March 2008 issue of The College Mathematics Journal page 106. ([ Ссылка ]).
To learn more about animating with manim, check out:
[ Ссылка ]
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![](https://i.ytimg.com/vi/Jq_I1ftJ9uc/maxresdefault.jpg)