A Hexagonal Geometric Sum (visual proof without words)

Описание: This is a short, wordless, animated visual proof demonstrating the sum of the infinite series of the powers of 1/4 using a nonstandard technique of decomposing the area of a hexagon.

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To see two alternatives for this infinite sum, check out
   • Geometric series: sum of powers of 1/4 (vi...  
   • A visual infinite sum like you’ve never seen!  

Here is a longer form video with lots of related infinite geometric sums:    • Beautiful Geometry behind Geometric Series...  

This animation is based on a visual proof by Rex H. Wu from the January 2023 issue of The College Mathematics Journal (https://doi.org/10.1080/07468342.2022... - page 62).

#shorts​​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricseries #series #infiniteseries #fractal #infinitesum

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