Uploads from Mathematical Visual Proofs

Currently Playing: Summing Cubes via Overlaps!

Summing Cubes via Overlaps! This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes using overlapping gnomons. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. or join my Patreon: https://www.patreon.com/c/MathVisualProofs Here are two other visual proofs of the same fact: https://youtu.be/Ye9OPNqV9FA https://youtu.be/NxOcT_VKQR0 This animation is based on a visual proofs by Warren Lushbaugh (from an article by Solomon Golomb) in the May 1965 issue of the Mathematical Gazette (https://doi.org/10.2307/3612319). To learn more about animating with manim, check out: https://manim.community