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Curated by: Mathematical Visual Proofs (650 videos)
Paying Patreon members can see the code for this video (join now!) https://www.patreon.com/c/MathVisualProofs In this video, we show how to generate the Lévy Dragon by copying and rotating (90 degrees) the created curve to that point and then shifting the pieces so the old end meets the beginning of the copy We repeat this 19 times, creating an order 19 dragon curve. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! Also, check out these videos for related constructions: https://youtu.be/GVhLhAXAWoI?si=juXfYClSbS6CSe7k https://youtu.be/yDHX3JytTOo https://youtu.be/rLxx6b-oJGo https://youtu.be/NBI_5GdvqUo https://youtube.com/shorts/dklWNdM9WSg 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/pythagorean/symbinarytreeShape.htm #levy #levydragon #mathvideo #math #mtbos #manim #animation #theorem #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractals #cthulhu To learn more about animating with manim, check out: https://manim.community