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Curated by: Mathematical Visual Proofs (650 videos)
The Sphinx Sums a Geometric Series This is a short, animated visual proof demonstrating the sum of the infinite series with first term 8/9 and ratio 1/9 using a famous rep-tile shape known as the Sphinx. Geometric series are important for many results in calculus, discrete mathematics, and combinatorics. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! Also, check out my playlist on geometric sums/series: https://youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw This animation is based on the fact that any rep-tile leads to a geometric series sum visualization and the Sphinx is a famous rep-tile, which you can learn more about at https://en.wikipedia.org/wiki/Sphinx_tiling #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricsums #series #infinitesums #infiniteseries #geometric #geometricseries #equilateraltriangle #sphinx #sphinxtile #rep-tile #reptile To learn more about animating with manim, check out: https://manim.community