What is the Mandelbrot Set?

The Mandelbrot set has inspired music, fiction, paintings and countless psychedelic hallucinations. Its tangled wilderness also bears witness to incredible feats of mathematical imagination.
#math #fractal

[Pandabubba]

Me reading a parking sign in New York City

[willjackson]

Zero out your calculator and type
(Ans)^2 + [your chosen number], then rapidly press the = button to see whether it goes to infinity or not

[SaintBenard]

Just like a core of a demon's form

[FreakBasti]

This video actually does not even explain on how to make the mandelbrot set.

[PietroColombo-emmz]

For a curious, but unexpert like me, is however great. Thanks to Quanta Magazine, for bringing me clearly, knowledge I would not get.

[JxH]

'Chaos: Making a New Science',
by James Gleick.
Buy it, read it. Then you'll understand the implications.

[idehenebenezer]

TO EVERYONE IN THIS CHAT:

*THE JUDGEMENT OF GOD IS DRAWING NIGH.*

REPENT TODAY AND GIVE YOUR LIFE TO JESUS TO ESCAPE ETERNAL DAMNATION, !,

[SaintBenard]

This is how I made the universe you are tested with, I mean live inside, not trapped or stowed what-so-ever. Love love love love love. Don't bother thinking about it too much. I can make it easy for you to forget, if you want - you have told me to do that to you. 🎉

[literallylegendary]

The math Short's explanation of the Mandelbrot set is far from complete and people are somehow associating it with theology. Classic YouTube Shorts

if this is even gonna be about religion though, you should not look for proof of God's existence until you find the one church that stands out and has the power to make actual miracles happen in your life

[rodbennett]

Well that is wrong. Its defined recursion, but hardly the Mandelbrot set.

[jkfinney]

f(y)=X^2+1... This is not the same equation.

[exotreus]

I do have a question I'd like someone to explain:

I want to recreate this on a 2d plane with points executing the function on the X and Y coordinates, but something feels wrong.

If we have x being 1 at first, then y as 2 at first, the next point is x2 and y6, then x6 and y42...
This essentially jist gave me a line in almost all cases, and I've seen simulations of this resulting in weird triangle-ish curling patterns and such, and I don't see how this is possible. Someone please tell me what I'm getting wrong about this...