Uploaded June 2024 | Updated September 2026, 2 weeks ago
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:
youtu.be/rLxx6b-oJGo
youtu.be/NBI_5GdvqUo
youtu.be/XITi6Bnn5Cc
youtu.be/fFIyqMiycs4
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This animation was inspired by articles written by Lorelei Koss, one that appeared in the Proceedings of Bridges 2015: archive.bridgesmathart.org/2015/bridges2015-423.pdf
and one that appeared in the September 2022 issue of Math Horizons:
doi.org/10.1080/10724117.2022.2088009
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: jstor.org/stable/2691339
Or you can check out Larry Riddle's fantastic site with lots about this fractal and others: larryriddle.agnesscott.org/ifs/heighway/terdragon.htm
#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:
https://manim.community
_________________________________________
Music in this video:
The Sun Will Rise by Vlad Gluschenko | soundcloud.com/vgl9
Music promoted by free-stock-music.com
Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
creativecommons.org/licenses/by/3.0/deed.en_US
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:
youtu.be/rLxx6b-oJGo
youtu.be/NBI_5GdvqUo
youtu.be/XITi6Bnn5Cc
youtu.be/fFIyqMiycs4
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This animation was inspired by articles written by Lorelei Koss, one that appeared in the Proceedings of Bridges 2015: archive.bridgesmathart.org/2015/bridges2015-423.pdf
and one that appeared in the September 2022 issue of Math Horizons:
doi.org/10.1080/10724117.2022.2088009
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: jstor.org/stable/2691339
Or you can check out Larry Riddle's fantastic site with lots about this fractal and others: larryriddle.agnesscott.org/ifs/heighway/terdragon.htm
#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:
https://manim.community
_________________________________________
Music in this video:
The Sun Will Rise by Vlad Gluschenko | soundcloud.com/vgl9
Music promoted by free-stock-music.com
Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
creativecommons.org/licenses/by/3.0/deed.en_US
