Shaded Area? @MathVisualProofs

Uploaded November 2025 | Updated September 2026, 2 weeks ago

This is a short, animated visual proof finding the area of an interesting region constructed with semicircles interior to a regular hexagon.

Have a different solution? Share it in the comments!

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

Ulam Spiral (primes in a 450 x 450 grid)!

$Lévy C: Copy; Rotate 90; shift new start to old end Lévy C: Copy; Rotate 90; shift new start to old end In this video, we show how to generate a fractal curve known as the Lévy C curve or Lévy Dragon by repeatedly copying, rotating and shifting, starting with a line segment. What happens if you do something similar with different rotations or different shifts? If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! Check out these videos for related constructions: https://youtu.be/rLxx6b-oJGo https://youtu.be/NBI_5GdvqUo This animation was inspired by an article written by Larry Riddle that appeared in the the November 2016 issue of Math Horizons: https://doi.org/10.4169/mathhorizons.24.2.18 See more here (https://larryriddle.agnesscott.org/symmetricfractals.pdf) and on his website: https://larryriddle.agnesscott.org/ifs/levy/levy.htm #levy #levydragon #math #manim #animation #fractals To learn more about animating with manim, check out: https://manim.community$

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