Uploaded June 2026 | Updated September 2026, 2 weeks ago
Summing Odds to Get Squares
In this video, we show an animation of perhaps the best and most iconic visual proof of the formula for the sum of the first n positive integers.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
To see more about this proof and a generalization, check out this video:
youtu.be/eHbtc50-qXo?si=ztvGFf1G-dLzr-m3
This proof is attributed to the "ancient Greeks" by Roger Nelsen (referencing Martin Gardner) and can be found in Roger Nelsen's first compendium, "Proofs Without Words: Exercises in Visual Thinking:
#math #manim #sumformula #proofwithoutwords #visualproof
To learn more about animating with manim, check out:
https://manim.community
Summing Odds to Get Squares
In this video, we show an animation of perhaps the best and most iconic visual proof of the formula for the sum of the first n positive integers.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
To see more about this proof and a generalization, check out this video:
youtu.be/eHbtc50-qXo?si=ztvGFf1G-dLzr-m3
This proof is attributed to the "ancient Greeks" by Roger Nelsen (referencing Martin Gardner) and can be found in Roger Nelsen's first compendium, "Proofs Without Words: Exercises in Visual Thinking:
#math #manim #sumformula #proofwithoutwords #visualproof
To learn more about animating with manim, check out:
https://manim.community
