Building the Wallis Sieve: What’s the Area? @MathVisualProofs
Building the Wallis Sieve: What’s the Area?  @MathVisualProofs
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.

The question is: can you determine the area of the resulting limiting shape?

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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

If you want to see the area computed in terms of the infinite Wallis product, check out this short :

youtube.com/shorts/s1JORwIzabs?feature=share

#mathvideo​ #math​ #mtbos​ #manim​ #animation​​​​ #iteachmath #mathematics #dynamicalsystems #fractal #fractals #wallissieve #wallis #wallisproduct #infiniteproduct

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Building the Wallis Sieve: What’s the Area?

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