Summing powers of 1/8 visually!

This is a short, animated visual proof showing the sum of the infinite geometric series of powers of 1/8 (starting with 1/8) is 1/7 using self similar trapezoids in a regular heptagon. #manim #math​​ #mathshorts​ #mathvideo​ #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #series #geometricseries #infiniteseries #heptagon #trapezoids Here is an alternate dissection proof for this series: Here is a longer form video with lots of related infinite geometric sums: If you like this video, consider subscribing to the channel or consider buying me a coffee: Thanks! This animation is based on a proof by James Tanton from the March 2008 issue of The College Mathematics Journal page 106. (). To learn more about animating with manim, check out: