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Sums of Sums of Squares (visual proof)

This is a short, animated visual proof for the sum of the sum of squares formula using a wonderful visual proof computing the sum of squares formula. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks! Here is a link to the visual proof for the sum of squares:    • Sum of Squares I (visual proof)   Here are other visual proofs about the sum of squares formulas:    • Summing Squares IV (visual proof with...      • Visual Sum of Squares III (proof with...      • Sum of Squares II (visual proof)      • A Sum of Squares Double Sum Formula (...      • An Amazing way to Sum Squares (visual...   This animation is based on a visual proof by C.G. Wastun according to Roger Nelsen in his second Proof without Words compendium (page 91) : https://bookstore.ams.org/view?Produc... This first visual proof animation is based on (independently discovered) visual proofs by Dan Kalman from the March 1991 issue of The College Mathematics Journal (https://www.jstor.org/stable/2686447) and Martin Gardner from the October 1973 Scientific American (https://www.jstor.org/stable/24923225). To learn more about animating with manim, check out: https://manim.community #math #manim​ #mathvideo​​ #sumofsquares​ #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #finitesums #discretemath #induction #sumsumsquares #partialsums