Mandelbrot Quintet Fractal (a 5 rep-tile): Order from Chaos (visual construction) @MathVisualProofs

Updated September 2026, 2 weeks ago

Mandelbrot Quintet Fractal (a 5 rep-tile): Order from Chaos (visual construction)

Leibniz Formula for Pi/4 - A Pi Day Visualization/Dissection

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

$Alternating Geometric Series (ratio 1/2) This is a short, animated (wordless) visual proof demonstrating the sum of the infinite geometric series with ratio -1/2. To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! This animation is based on a visual proof by Ángel Plaza from the May 2018 issue of The College Math Journal page 200 (https://doi.org/10.1080/07468342.2018.1437302). #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricseries #infiniteseries #fractals #sum #induction To learn more about animating with manim, check out: https://manim.community$