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This is a short, animated visual proof of a relatively recent proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has been created from the region obtained by connecting vertices of the outer hexagon to appropriate edge midpoints of the outer hexagon. #manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #onethirteenth #pww #proofwithoutwords #proof #algebra #areas #mathematics #mathvideo #mtbos Check out these related videos: • What's the area of this square inside... • Area of a Regular Hexagon in a Regula... If you like this video, please click "like" and consider subscribing and checking out my other videos. This animation is based on a visual proof by Rick Mabry from the June 2018 issue of Mathematics Magazine (https://doi.org/10.1080/0025570X.2018... - page 184-185). That link also has a link to supplemental material with many different generalizations of this fact to other methods of connecting vertices to opposite edges. To learn more about animating with manim, check out: https://manim.community _____________________________ Music in this video: Pandemia by MaxKoMusic | https://maxkomusic.com/ Music promoted by https://www.free-stock-music.com Creative Commons Attribution-ShareAlike 3.0 Unported https://creativecommons.org/licenses/...