Uploaded March 2026 | Updated September 2026, 2 weeks ago
Zeno in an Equilateral Triangle
This is a short, animated visual proof demonstrating the sum of an infinite geometric series using a dissection proof in an equilateral triangle. In particular, we show how to find the sum of powers of 1/2 in the equilateral triangle. Geometric series are important for many results in calculus, discrete mathematics, and combinatorics.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
Also, check out my playlist on geometric sums/series: youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw
This animation is based on a proof by Stephan Berendonk (2020) from the November 2020 issue of The College Mathematics Journal, (doi.org/10.1080/07468342.2020.1830649 p. 385)
#math #calculus #manim #proofwithoutwords #geometricseries #equilateraltriangle
To learn more about animating with manim, check out:
https://manim.community
Zeno in an Equilateral Triangle
This is a short, animated visual proof demonstrating the sum of an infinite geometric series using a dissection proof in an equilateral triangle. In particular, we show how to find the sum of powers of 1/2 in the equilateral triangle. Geometric series are important for many results in calculus, discrete mathematics, and combinatorics.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
Also, check out my playlist on geometric sums/series: youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw
This animation is based on a proof by Stephan Berendonk (2020) from the November 2020 issue of The College Mathematics Journal, (doi.org/10.1080/07468342.2020.1830649 p. 385)
#math #calculus #manim #proofwithoutwords #geometricseries #equilateraltriangle
To learn more about animating with manim, check out:
https://manim.community
