Uploaded June 2024 | Updated September 2026, 2 weeks ago

This is a short, animated visual proof demonstrating how to construct square roots of any positive integer using the Spiral of Theodorus

To buy me a coffee, head over to buymeacoffee.com/VisualProofs
Thanks!

#manim #math #mathshorts #mathvideo
#construction #geometry #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #spiral #theodorus #squareroot

To learn more about animating with manim, check out:
https://manim.community

$Mediant Inequality from Slopes This is a short, animated visual proof demonstrating what one might call the mediant inequality. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! For an alternate visual proof of this fact, see: https://youtu.be/RKeBuWL1B4A https://youtube.com/shorts/cI92ZID95g4 https://youtu.be/pODylgdI3p8 For the wide format of this video, see: https://youtu.be/AuxqpiDTCyU?si=kLa0Un4L8ADM6a_q This animation is based on a visual proof by Li Changming from the January 1988 issue of Mathematics Teacher (https://www.jstor.org/stable/27965677 - page 63). #math #inequality #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #fractions #mediant #mathematics #fareyfractions #farey #mathshorts #mathvideo To learn more about animating with manim, check out: https://manim.community$

Visualizing the Digits of e | 1000 Digits of Euler’s Number

Sigmoid Curve as Area Accumulation of Standard Normal Distribution

Da Vinci’s Pythagorean Theorem Proof (Right triangle theorem)

Arithmetico-Geometric Series via Gabriel’s Staircase

Visualizing the Digits of 1/7, 2/7, 3,7, 4/7, 5/7, and 6/7

$Hilbert Curve from an L System In this video, we describe two how to draw a plane filling curve called the Hilbert curve using an L-system. While the substitution strings are a bit complicated, the rules for this system are easy to implement and use to draw a level 8 Hilbert curve (to dramatic music). If you liked this video, consider liking or subscribing. Or you can support me by buying me a coffee at https://www.buymeacoffee.com/VisualProofs Thanks! If you want to see other constructions of like this, see https://youtu.be/GVhLhAXAWoI https://youtu.be/MEzgGGq2l5E https://youtu.be/8Q_zuRKKh2g https://youtu.be/UKNcbNpP w If you want to know more about L-systems or turtle graphics or the Gosper curve, check out these wikipedia sites: https://en.wikipedia.org/wiki/L-system https://en.wikipedia.org/wiki/Turtle_graphics https://en.wikipedia.org/wiki/Hilbert_curve To learn more about animating with manim, check out: https://manim.community #turtlegraphics #fractal #math #manim #mathvideo #Lsystem #hilbert #hilbertcurve #planefillingcurve #visualmath #fractalcurves Music in this video: Voyager by Alex-Productions | https://onsound.eu/ Music promoted by https://www.free-stock-music.com Creative Commons / Attribution 3.0 Unported License (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/deed.en_US$

Mathematical Visual Proofs |