Uploads from Mathematical Visual Proofs

Currently Playing: Shaded Hexagon in a Hexagon: What’s the Area?

Shaded Hexagon in a Hexagon: What’s the Area? 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. 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 related videos: https://youtu.be/5VaQVXECaVM https://youtu.be/6DnnJlzbCC4 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.2018.1445378 - 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. #manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #onethirteenth #pww​ #proofwithoutwords​ ​ #proof​ #algebra #areas #mathematics​ #mathvideo​ #mtbos To learn more about animating with manim, check out: https://manim.community