What is the Mandelbrot Set?
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- เผยแพร่เมื่อ 18 ธ.ค. 2024
- 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
Plot the Mandelbrot set in interactive graphics and read Jordana Cepelewicz’s long read: www.quantamaga...
Watch our full video explainer: • Decoding Math’s Famed ...
For a curious, but unexpert like me, is however great. Thanks to Quanta Magazine, for bringing me clearly, knowledge I would not get.
Me reading a parking sign in New York City
Thank you !
'Chaos: Making a New Science',
by James Gleick.
Buy it, read it. Then you'll understand the implications.
Cool!!!❤❤
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. 🎉
its math😡😊/
Awesome sauce
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...
Just to clarify, the Mandelbrot set takes place on the complex plane, so the X axis is the real numbers and the Y axis is imaginary numbers.
Using a large positive number like 2 would clearly go to infinity, so it's not part of the Mandelbrot set. But what if we choose “-1”:
(0)^2-1=-1
(-1)^2-1=0
(0)^2-1=-1… It alternates between “-1” and “0” forever.
Then here’s an example using the using the imaginary number “i”:
(0)^2+i=i
(i)^2+i=i-1
(i-1)^2+i=(-1-2i+1)+i=-i
(-i)^2+i=i-1…
It alternates between -i and i-1 forever. On the complex plane this would look like a line going from (0,1) then alternating between (-1,1) and (0,-1)
These were pretty simple examples, but other complex numbers like “.185 + .376i” might alternate and spiral across many points forming those curling patterns you mentioned…
Cool
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
f(y)=X^2+1... This is not the same equation.
Only in imaginary numbers
This video actually does not even explain on how to make the mandelbrot set.
It misses the part where c is actually.the variable of the complex planeand the question is if the series remains finite.
@@Bender-x1uwatch the full video linked this is just a clip
I wish I could understand math
1+1=💀
Well that is wrong. Its defined recursion, but hardly the Mandelbrot set.
Dumb explanation but whatever
the t is silent
The math Short's explanation of the Mandelbrot set is far from complete and people are somehow associating it with theology. Classic TH-cam 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
TO EVERYONE IN THIS CHAT:
*THE JUDGEMENT OF GOD IS DRAWING NIGH.*
REPENT TODAY AND GIVE YOUR LIFE TO JESUS TO ESCAPE ETERNAL DAMNATION,!,
Ok
Just like a core of a demon's form
God = 🤯! ... 😁👍 Nuff said, huh?