Uploaded March 2025 | Updated September 2026, 2 weeks ago
In this video, we explore a wonderful dissection of the unit circle (with area Pi) into regions that have areas given by differences of reciprocals of consecutive odds. When the diagram is complete, we get a visualization of the famous Madhava-Gregory-Leibniz series, or Leibniz formula, for Pi/4.
To see a longer version filling in the details check out : youtu.be/rzZ2JTFVDdw?si=V2QY40VieIngUFS8
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This animation was inspired by an article from Mitsuo Kobayashi that appeared in the April 2014 issue of Mathematics Magazine (jstor.org/stable/10.4169/math.mag.87.2.145
) see pages 145-150. That article features this dissection proof attributed to Viggo Brun.
For more Pi-related videos, check out my playlist:
youtube.com/playlist?list=PLZh9gzIvXQUsGRDvzvXc02lDIKHaVeFwq
#manim #irrational #Pi #mathvideo #math #mtbos #animation #iteachmath #mathematics #piday #shorts #trigonometry #tangent #triangle #rectangle #identities #infiniteseries #series #dissectionproof #dissection #leibniz #leibnizformula #infinitesum #calculus #integral
To learn more about animating with manim, check out:
https://manim.community
In this video, we explore a wonderful dissection of the unit circle (with area Pi) into regions that have areas given by differences of reciprocals of consecutive odds. When the diagram is complete, we get a visualization of the famous Madhava-Gregory-Leibniz series, or Leibniz formula, for Pi/4.
To see a longer version filling in the details check out : youtu.be/rzZ2JTFVDdw?si=V2QY40VieIngUFS8
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This animation was inspired by an article from Mitsuo Kobayashi that appeared in the April 2014 issue of Mathematics Magazine (jstor.org/stable/10.4169/math.mag.87.2.145
) see pages 145-150. That article features this dissection proof attributed to Viggo Brun.
For more Pi-related videos, check out my playlist:
youtube.com/playlist?list=PLZh9gzIvXQUsGRDvzvXc02lDIKHaVeFwq
#manim #irrational #Pi #mathvideo #math #mtbos #animation #iteachmath #mathematics #piday #shorts #trigonometry #tangent #triangle #rectangle #identities #infiniteseries #series #dissectionproof #dissection #leibniz #leibnizformula #infinitesum #calculus #integral
To learn more about animating with manim, check out:
https://manim.community
