Octagonal Chaos Game
In this short, we show what happens when iterating the procedure of choosing an octagon vertex at random and moving 0.707 (one half root 2) the distance from the current dot to the chosen point.
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!
If you want to know more about the Chaos game, see the following links:
https://en.wikipedia.org/wiki/Chaos_game
https://mathworld.wolfram.com/ChaosGa...
https://math.bu.edu/DYSYS/chaos-game/...
• Chaos Game - Numberphile
• Chaos Game | Fractals emerging from chaos ...
• Chaos Game in a Square
#chaos #chaosgame #octagon #mathvideo #math #mtbos #manim #animation #theorem #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractal #fractals
To learn more about animating with manim, check out:
https://manim.community