Area of a Regular Hexagon in a Regular Hexagon (visual proof)

This is a short, animated visual proof of a classic proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has side length equal to the distance between corresponding vertices on the two hexagons. #manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #onefourth #pww​ #proofwithoutwords​ ​ #proof​ #algebra #areas #mathematics​ #mathvideo​ #mtbos

Check out this related video:
https://youtu.be/5VaQVXECaVM

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Thanks to Tezhut, Mathematics Flipped, and Mohammed ElShenawy for their feedback to help improve to this version!

To learn more about animating with manim, check out:
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Music in this video:
Oceans by IvPem | https://soundcloud.com/ivpemofficial
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Creative Commons Attribution-ShareAlike 3.0 Unported
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Видео Area of a Regular Hexagon in a Regular Hexagon (visual proof) канала Mathematical Visual Proofs