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Curated by: Mathematical Visual Proofs (650 videos)
Summing Powers of 8 with Cubes! This is a short, animated (wordless) visual proof demonstrating the sums of finite geometric series of powers of 8 using cubes. To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! This animation is based on a visual proof by Rajib Mukherjee from the December 2021 issue of The Mathematical Intelligencer (https://doi.org/10.1007/s00283-021-10087-5) pages 60-61. Here are two a related proofs for powers of 3, 4 and 9: https://youtu.be/9IAm75UY2U8 https://youtu.be/yTpzDEDP090 https://youtu.be/Ch7GFdsc9pQ #math #manim #proofwithoutwords #geometricsums #visualproof To learn more about animating with manim, check out: https://manim.community