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Curated by: Mathematical Visual Proofs (650 videos)
Sum Cubes with Triangles This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging triangular arrays into a larger triangular array. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! Here are four other visual proofs of sum of cubes formulas: https://youtu.be/YQLicI8R4Gs https://youtu.be/Ye9OPNqV9FA https://youtu.be/NxOcT_VKQR0 https://youtu.be/d1yM6Rq7Tfw This animation is based on a visual proof by Parames Laosinchai from the December 2012 issue of Mathematics Magazine (https://www.jstor.org/stable/10.4169/math.mag.85.5.360 page 360). To learn more about animating with manim, check out: https://manim.community #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath #calculus #sum #induction