[Extra Visual] All Period 1 orbits of the Mandelbrot Set shown together.

This visual shows a series of balls located within the main cardioid of the Mandelbrot Set. This is the area where the orbit have a period of 1. All these orbits approach a single attractive fixed point. This animation follows each orbit over 50,000 iterations to see where they finish, each near their own attractive fixed point. You'll notice that 1 or 2 of these orbits don't have time to settle down to a settle down to a single point.
This is an extra visual for the Mandelbrot Explained series of videos. If you'd like to understand what is happening a little better, please check out the related series of videos. I'm publishing these extra visuals in the hope that they may be useful for people wishing to study the Mandelbrot in more detail.
In this series:
1 - • The Mandelbrot Set Exp... The Mandelbrot Set Explained
2 - • Julia Sets, and how th... Julia Sets, and how they relate to The Mandelbrot Set
3 - • How to Build a Julia Set How to Build a Julia Set
4 - • Number Sequences in th... Number Sequences in the Mandelbrot Set
Extra Visuals (No commentary):
• [Extra Visual] All orb... - All orbits of the Mandelbrot
• [Extra Visual] All Per... - Period 1 orbits of the Mandelbrot
• [Extra Visual] All Per... - Period 2 orbits of the Mandelbrot
• [Extra Visual] Buildin... - Building a Mandelbrot step-by-step
• [Extra Visual] Period ... - Period 2 orbits of a Julia Set
• [Extra Visual] Period ... - Period 3 orbits of a Julia Set
• [Extra Visual] Period ... - Period 4 orbits of a Julia Set
• [Extra Visual] Period ... - Period 5 orbits of a Julia Set
• [Extra Visual] Period ... - Period 6 orbits of a Julia Set

[@frankconley7630]

Thanks for the beautiful video. It is amazing to see the steps it takes to get there.

[@mikip3242]

What? Are you telling me that those fixed points in the end that seem to be outside of the Mandelbrot set (to the right) are actually in the Mandelbrot set?? I need to see a zoom showing it.

[@RegrinderAlert]

The blue points are the points where the origins inside the cardoid shape converge

[@bachirblackers7299]

Certainly they gonna look another behaviour if it was in high demension . those transformations would behave with different electric field . So the central inner 2.5 circle would be considered as a sphere in 3d .

[@lilmarionscorner]

I don't know. There isn't a 3D quaternion Mandelbrot Set zoomer yet.

[@stanervin6108]

Looks like moths around a streetlight.
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