In this video, we show how to use a random process of iteratively applying three affine transformations in the real plane to generate a 3-rep-tile known as the Terragon. What happens if you do something similar with different affine linear transformations?
Check out these videos for related constructions:
• Mandelbrot Quintet Fra...
• Chaos Game in a Hexagon
• The Lévy Dragon from t...
• Twin Dragon Fractal (a...
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This animation was inspired by articles written by Lorelei Koss, one that appeared in the Proceedings of Bridges 2015: archive.bridge...
and one that appeared in the September 2022 issue of Math Horizons:
doi.org/10.108...
For more information, you should also check out the related article "Fractal Tilings in the Plane" by Richard Darst, Judith Palagallo and Thomas Price from the February 1998 Mathematics Magazine: www.jstor.org/...
Or you can check out Larry Riddle's fantastic site with lots about this fractal and others: larryriddle.ag...
#chaos #chaosgame #terdragon #dragonfractal #mathvideo #math #mtbos #manim #animation #theorem #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractals
To learn more about animating with manim, check out:
manim.community
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Music in this video:
The Sun Will Rise by Vlad Gluschenko | / vgl9
Music promoted by www.free-stock...
Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
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14 окт 2024
