Mandelbrot Quintet Fractal (a 5 rep-tile): Order from Chaos (visual construction)

In this video, we show how to use a random process of iteratively applying five affine transformations in the real plane to generate a 5-rep-tile known as the Mandelbrot Quintet. What happens if you do something similar with different affine transformations?

If you like this video, please check out my others and consider subscribing. Thanks!

#chaos #chaosgame #quintet #mandelbrot #mathvideo​ #math​ #mtbos​ #manim​ #animation​ #theorem​​​ #iteachmath #mathematics #dynamicalsystems #iteratedfunctionsystem #dynamics #fractals

To learn more about animating with manim, check out:

_________________________________________
Music in this video:
Creative Commons Attribution 3.0 Unported License

[mathflipped]

Wow! This is a really cool animation. It's interesting how these Mandelbrot sets creep up in various settings. Keep it up!

[PowerhouseCell]

Great video! I know from experience from my own videos that it's challenging to use Manim, so this is beautifully done!

[truetruetruly]

Nicely done and beautifully animated as always. Your channel needs more subs.

[dudewaldo]

Exceptionally cool!!! Is it possible to zoom in on such a shape in manim?

[pengin]

Very nice to see more variety in topics covered, keep it up. I think you could have used a coarser grid at 0:44, it looked a bit messy in my opinion.

[jakobr_]

The shape, and how it fits with itself, reminds me of the dragon fractal.