Uploaded March 2026 | Updated September 2026, 2 weeks ago

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In this video, we show how to use a random process of iteratively applying two affine transformations in the real plane to generate a fractal known as the Golden Dragon. What happens if you do something similar with different affine transformations?

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Check out these videos for related constructions:
youtu.be/fFIyqMiycs4
youtu.be/rLxx6b-oJGo
youtu.be/NBI_5GdvqUo

This animation was inspired by Larry Riddle's awesome website:
larryriddle.agnesscott.org/ifs/heighway/goldenDragon.htm

#chaos #chaosgame #goldendragon #dragon #mathvideo​ #math​ #mtbos​ #manim​ #animation​ #theorem​​​ #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractals #fractal

To learn more about animating with manim, check out:
https://manim.community
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Music in this video:
idling around by Diamond Ace | soundcloud.com/diamond-ace-music
Music promoted by free-stock-music.com
Creative Commons / Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
creativecommons.org/licenses/by-sa/3.0/deed.en_US