Uploaded July 2025 | Updated September 2026, 2 weeks ago
In this short, we show how to build the Wallis Sieve using an iterative procedure of cutting remaining square lengths into the next odd and removing the created central square in the corresponding square grid. Along the way, we discuss how to compute the area of the resulting limiting shape as an infinite product. This infinite product is related to the famous Wallis product and so the shaded area is amazingly Pi/4.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
If you want to know more about the Wallis Sieve, check out this wonderful short article by Evelyn Lamb: scientificamerican.com/blog/roots-of-unity/a-few-of-my-favorite-spaces-the-wallis-sieve
#mathvideo #math #mtbos #manim #animation #iteachmath #mathematics #dynamicalsystems #fractal #fractals #wallissieve #wallis #wallisproduct #infiniteproduct
To learn more about animating with manim, check out:
https://manim.community
In this short, we show how to build the Wallis Sieve using an iterative procedure of cutting remaining square lengths into the next odd and removing the created central square in the corresponding square grid. Along the way, we discuss how to compute the area of the resulting limiting shape as an infinite product. This infinite product is related to the famous Wallis product and so the shaded area is amazingly Pi/4.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
If you want to know more about the Wallis Sieve, check out this wonderful short article by Evelyn Lamb: scientificamerican.com/blog/roots-of-unity/a-few-of-my-favorite-spaces-the-wallis-sieve
#mathvideo #math #mtbos #manim #animation #iteachmath #mathematics #dynamicalsystems #fractal #fractals #wallissieve #wallis #wallisproduct #infiniteproduct
To learn more about animating with manim, check out:
https://manim.community
