Did you know: the B in Benoit B Mandelbrot stands for Benoit B Mandelbrot.
@lewis7515
3 ай бұрын
It's painful.
@robocombo
3 ай бұрын
But what does the B in Benoit B Mandelbrot stand for?
@thecringequeen31
3 ай бұрын
@@robocomboBenoit B Mandelbrot
@FirstSynapse
3 ай бұрын
So this is what a Mandelbrot set actually is
@moodonut
3 ай бұрын
@@thecringequeen31 then what does the B stand for in Benoit B Mandelbrot?
@Keradurakh
3 ай бұрын
Thank you for the explaination, i always wondered how Mandelbrot worked (funny enough, the name means "almond bread" in german)
@ricardolobos673
3 ай бұрын
Tibees has a level of talent and intelligence that I wish Tailor Swift would emulate. Because Tibees contributes to Humanity, whereas Tailor Swift does not, I think Tibees should be the more popular star!
@lewis7515
3 ай бұрын
What's funny about that? The name has nothing to do with almond bread, but everything to do the name of the mathematician who invested so much time on the phenomenon, he ended up branding his name on it?
@nickcara97
3 ай бұрын
@@lewis7515yes, but what they’re saying is his surname translates in German to almond bread. Which might say something amusing about the profession of his familial ancestors.
@Bassotronics
3 ай бұрын
@@ricardolobos673 You’re complaining about Taylor? What about Miley Cyrus, Niki Minaj and other bad apples that are FAR worse for society!
@andhewonders
3 ай бұрын
@@BassotronicsLearn tolerance, you'll become a worthwhile being.
@bryangreen6231
3 ай бұрын
3seconds and her voice puts me to sleep or hypnotizes me
@KJKP
2 ай бұрын
My mind turns it off so that I don’t hear her.
@dubistverrueckt
3 ай бұрын
Said in such a soothing way. I wish you had been my math teacher 👩🏫💖
@zeruzio1345
3 ай бұрын
Tibees + 3blue1brown collab when?
@BleuSquid
3 ай бұрын
Another thing to look at is the relationship between the Mandelbrot set and the family of quadratic Julia sets. The Mandelbrot Set can be seen as a "map" of these Julia sets. They share the same formula (z=z² + c), but while c in the Mandelbrot set is the starting point, in the Julia sets, the initial value for z is the starting point, and C is a constant for the entire image. Thus, each point C in the Mandelbrot maps to an entire image in the Julia. A point inside the Mandelbrot will generate a fully-connected Julia. A point outside the Mandelbrot will generate a disconnected Julia. The closer a point is to the border of the Mandelbrot, the more intricate the corresponding Julia will be. 2 special cases where the Julia set is not a fractal are: c=0, and c=-2. It's not known if there are other non-fractals.
@sheep1ewe
3 ай бұрын
Thank You for the explanation!
@thecrowsnest6963
3 ай бұрын
Very nice! Thank you!
@johnlime1469
Ай бұрын
Thanks. I got a C in that class last year. I remember this. Sad memories. Lol
@emc3000
3 ай бұрын
I just like how it means almond bread
@niravelniflheim1858
3 ай бұрын
Zoom animations for the Mandlebrot set are fun. Infinite detail with repeating patterns; almost like a cosmic secret is being revealed.
@Lux_Absolute
2 ай бұрын
🦠
@murphybed7919
3 ай бұрын
I never knew that this mandelbrot pattern had to do with numbers. Thanks for teaching me I appreciate it.
@polycrystallinecandy
3 ай бұрын
All patterns have to do with numbers 😀
@frankconley7630
3 ай бұрын
Super pertinent for most people. Thank you. Explained so well.
@TehDawg
3 ай бұрын
Cheers. I still haven’t got a clue. But I’m all for it. What time does it start?
@balachandardevaraj496
2 ай бұрын
I think it's at 5pm today
@Trevil666
Күн бұрын
Been here for years, haven't learned any actual science but it is relaxing.
@pelomyshadowsong3485
3 ай бұрын
You are my favorite kindergarten teacher. ❤
@blufudgecrispyrice8528
3 ай бұрын
bro my mind would melt if she was my kindergarten teacher.
@EllipticGeometry
3 ай бұрын
Kindergarten? I don’t think they covered fractals there, even superficially. But with the new new math, who knows.
@Danbatio
3 ай бұрын
@@strawberrygoldie329 a while ago someone said her videos feels like the first day in a 4th dimension kindergarten.
@johnlime1469
Ай бұрын
@@EllipticGeometryNew new kindergarten covers quantum physics, general relativity, bayesian statistics, and chaotic systems. The graduation project is developing cure for cancer.
@BillyMandalay
3 ай бұрын
The 'beetle' has always reminded me of some Crop Circles
@ottomondo1368
3 ай бұрын
Mandelbrot was an inexhaustible self-promoter who could snow/bamboozle the liberal arts majors running IBM, which provided a perch for him to shout his own praises. He was given time in serious circles due to the possibility of corporate largess being given to legitimate researchers. It was also the time in the early 80s, when computer graphics first came to the fore, that flashy pictures could be made and create a sense of awe around his work. All the original work was done in the late 19th and early 20th centuries when real analysis was making strides in measure and particularly covering theorems. Look up Hausdorff measure for the real work.
@JasperKloek
3 ай бұрын
That's interesting.
@9or10ofalltrades
3 ай бұрын
I feel like this represents the shape of the universe
@vixeondaniels8886
3 ай бұрын
She's such a smart cookie! 👏 ❤
@Kristielina
Ай бұрын
Thanks for the summary, it is nicely organized. ✨✨
@matrixtech6917
3 ай бұрын
Thank you for introducing me to this topic
@mrman5066
2 ай бұрын
This causes me such joy
@BrontoByteStudio
3 ай бұрын
Tibees is the type of person to give us weekly math facts 😄
@marikwondo
Ай бұрын
The Mandelbrot Set is caked up
@smartervilleonroute66
2 ай бұрын
I could listen to you infinitely
@wildfirefox1
3 ай бұрын
I only ever see these when I'm high and you just keep blowing my goddamn mind. If you're a Four Dimensional being, you can say so 😂
@seananthonyhart
3 ай бұрын
Nothing frames a pretty picture, and the ability for us to stand apart and watch together in the 4th Dimension.
@tillybillyboyboy
3 ай бұрын
My favorite part of looking at the boundary is that it's the closest we'll get to glimpsing the infinitesimal 😗👌
@User-435ggrest
2 ай бұрын
I have watched those Mandelbrot zoom videos so many times, but never understood how it works😅
@freaked78
3 ай бұрын
Tibees: "take any *complex* number" Also tibees: *takes 1* Yall its just a joke, i dont know any compicated maths stuff
@idlesquadron7283
3 ай бұрын
works XD
@Jonathanbass1990
3 ай бұрын
She chose 1, not 0. The series just starts with 0²+C per definition
@freaked78
3 ай бұрын
@@Jonathanbass1990 lemme edit that to 1 then
@joeldelabarrera1335
3 ай бұрын
Amazing explaining
@ronniemarshall7684
2 ай бұрын
her: "so about the mandelbrot set" me: *asmr induced coma*
@cronoukie
3 ай бұрын
I never thought about this. Now that you mention it, it's cool
@vocalbooth8585
3 ай бұрын
Your voice is amazing!
@normanjefferychester882
3 ай бұрын
How amazing!!!
@nicholascurran1734
3 ай бұрын
The Secret Life of Chaos was my first intro to fractals beyond common parlance. Was very cool to see the backstory of Mandelbrot, and how he was the first to use computers to create fractal images. Highly recommend that documentary!
@coloneloxide
3 ай бұрын
Science aside, that voice is actually soothing
@martinh972
3 ай бұрын
"Pathological monsters!"
@koztaz5273
2 ай бұрын
My numbers allways blows up to infinity :)
@myhumansuit
3 ай бұрын
This is my favorite thing.
@msjkramey
3 ай бұрын
Important note here though: it's not that numbers less than 1 always get smaller because 0 would stay the same and negative numbers would get bigger
@Whom1337
3 ай бұрын
I wish my battery life was longer so I cold listen for hours
@Nik-zf4xl
2 ай бұрын
My mind went to nyquist plots that I had studied in my past😊😊😊😊
@stefanmargraf7878
3 ай бұрын
As a kid of 13 i used my simple calculator to calculate the numbers of a Mandelbrot-Männchen and draw it on a paper.
@mark_tilltill6664
3 ай бұрын
I like understanding you.
@jonaFUN999
3 ай бұрын
Arthur C Clarke made an excellent documentary on this called The Colors of Infinity with Mandelbrot himself
@Leelz247
3 ай бұрын
This kind of looks like the phospholipid bilayer of the surface of a cell. May be a coincidence, bit wonder if there's a relationship. Anatomy does align with a lot of mathematical principles!
@anonxnor
3 ай бұрын
Interesting!
@WereWade
3 ай бұрын
I've loved the Mandlebrot ever since learning about it in high school. Even made a calculator app to generate it. One thing for anyone wondering, to figure out if a point goes towards infinity (bails out) or not, you take the 2 numbers and get the square root of them squared and added together. 2+3i becomes sqrt(4+9). And a bail out value is determined, For the. Mandlebrot, that's usually 4. If it bails out, it's not part of the Dark Inner region
@McMissile00
17 күн бұрын
Hey Tibees, Just Wanted You To Know "If Beauty Was A Function, You'd Be An (e^x)ponential One..."
@jordanmcgrory2171
3 ай бұрын
If you struggled with this, there's a song about this as well by Jonathan Coulton which may help.
@davidtriplett8105
3 ай бұрын
Proper analysis
@Mastermindyoung14
3 ай бұрын
Glaucus atlanticus reminds me of the Mandelbrot set
@RupertBruce
3 ай бұрын
The thing that shows the set best is rotating the plot in 3d to show that's it's just a contour plot
@officermofiz4600
3 ай бұрын
I never thought I'd be happy to see some numbers being abducted to the Mandlebrot set but here we are... 😂
@tommythecat4961
3 ай бұрын
Also, in many representations of the set, the other colors indicate how quickly a number grows, so for instance the lighter a shade, the faster the number approaches infinity.
@frangershwing
3 ай бұрын
Complex numbers are fascinating, they seem more "real" (more natural) than "real" numbers
@stapler942
3 ай бұрын
Would you say then that rational numbers are more "natural" (integral) than natural numbers? 😉
@frangershwing
3 ай бұрын
@@stapler942I didn't say that real numbers are not natural, what I meant to say is that real numbers seem like a simplification of the perception of reality and complex numbers seem to show reality in more profound ways. For example, complex numbers have the idea of "rotation" as part of its structure and this makes them indispensable for a complete description of Nature in a 3D + time universe. I believe that is possible to divide mathematics into natural and non-natural parts, in the sense of being connected to Nature or being a purely mental game not necessarily related to anything. I believe the idea of fractals is still incomplete.
@stapler942
3 ай бұрын
@@frangershwing I'm being facetious by extending the pun space, don't mind me.
@Renatus_Eruditus
Ай бұрын
Potential video idea: what would a human look like to a 4th or 5th dimensional being? Don't we also exist in the 4th/etc dimensions, even if we can't perceive it? Based on your videos across the years, my guess is: yes we do, and you'd probably look infinitely pretty 🌌
@Corusame
3 ай бұрын
I wonder if the Mandelbrot set could have some form of application in the real world.
@rwm1980
3 ай бұрын
Its every where. Mandelbrot set is fractal math
@thecrowsnest6963
3 ай бұрын
Yes! It does!! In so many things! Look at the replicating pattern in a pine cone, it is all throughout the world in many different things.
@side2k
3 ай бұрын
Oh, nice to have you back. How was your trip into the 4th dimension?
@markfaine2169
3 ай бұрын
U should upload more shorts like that
@gustavgustav5529
3 ай бұрын
I can see that. Thanks.
@Greg_Rock
3 ай бұрын
Infinitessimal, defined.
@iainmackenzieUK
3 ай бұрын
is there a simple link to chaos in this discussion?
@Skaevs
3 ай бұрын
You remind me of nearly all my math teachers who were women.
@Secretgeek2012
3 ай бұрын
I kind of get the iterative mathematical process. What I don't get is how that creates the fractal.
@robinbrowne5419
20 күн бұрын
In biological terms the Mandelbrot set could be called Infinihairium or Bug with infinite hairs. (Here is its larvae 🐛 :-)
@edwardbanda6018
2 ай бұрын
Explain iterations and layering to complete the graph, pretty much all numbers much be plotted X, Y and sometime Z on a Cartesian coordinate system. to include all numbers, reals, rational, irrational, and imaginary.
@LakshayKakkar-fr4oi
Ай бұрын
Please collab with jee simplified
@questwithshahzad3058
3 ай бұрын
infinity is so mysterious what will those look like or think who live in infinity
@humanmonsters
3 ай бұрын
Can you talk about Julia sets please??
@timeless_realm
3 ай бұрын
❤❤❤👸
@_WOR
Ай бұрын
Now I’m convinced that when this lady isn’t making videos she’s watching Dragon Ball Z 😐.
@danrazART
3 ай бұрын
Thanks. Now someone please explain this connection between finding such numbers and blockchain and ai art generators seeds?
@henrymoya3320
3 ай бұрын
❤❤❤❤
@tunazalad
3 ай бұрын
If its infinite then what happens if you zoom out? I haven't seen anyone zoom out on a fractal yet, on in.
@user-jn4wt9pz7y
3 ай бұрын
what about 0 tho ? it stays the same no matter how many times you square it too !
@ItsMeMissV369
3 ай бұрын
@tibees is an eye 👁 2D?
@andersnrregren9087
3 ай бұрын
Oh ok confusion
@tyssnem2429
3 ай бұрын
You're pretty
@pingnick
3 ай бұрын
🌈🌀
@KingLouisII
3 ай бұрын
Can't it also be said that squared decimal numbers also go to infinity? It's just a different kind of infinity, as the numbers get infinitely smaller.
@mattmathematics3591
3 ай бұрын
How do you apply this?
@elgracko
3 ай бұрын
The colors represent How Quickly they tend to infinity right? so, where's 0, 1, -1, i, -i?
@SecularSynthesis
3 ай бұрын
Quanta explained this with much greater clarity
@piyushlkhadgi
3 ай бұрын
Example shown is of a real number and she is saying complex number. Bit confusing to me.
@GLPS2020
3 ай бұрын
Why does 1 need to be added?
@okkoheinio5139
3 ай бұрын
what's shown on the video is just one example. in the first equation written in black, if we set C to equal 1, we get the sequence of Z_n that is on the right side of the equals signs on each row. when we draw a picture of the mandelbrot set, we take each pixel and assign it a coordinate in the form of a complex number, and we set C to equal that complex number. then we see if repeating the equation results in a very large number or not, and if it doesn't the pixel is colored black. the colored regions around the black aren't actually part of the mandelbrot set, only the black part. usually the color comes from the value of n of the first Z_n that makes it clear that C is outside the set (like if it's absolute value is greater than 4)
@skillsnwokoloanthony7557
3 ай бұрын
❤
@alexghous
3 ай бұрын
Which numbers?
@otalactea
3 ай бұрын
😮
@gutharius
3 ай бұрын
But what type.of infinite complexity is it? What other types of infinite complexities are there?
@shadowlife8368
3 ай бұрын
This is unrelated, but if the fourth dimension is time could there theoretically be a different 3 dimensions from ours? It would be the dimensions from 2 dimensions plus time.
@switzerlandful
Ай бұрын
How does zero squared equal 1?
@GoldenTiger01
3 ай бұрын
So dimensions are out and Mandelbrot sets are in?
@twnll
3 ай бұрын
What has it got to do with bees? 😂
@Malangsufi
3 ай бұрын
What is the purpose of such set?
@TheNoiseySpectator
3 ай бұрын
Well that is all well and good, but does it have any kind of application to the real world? Are there any circumstances when this "Mandelbrot pattern" would be manifested in nature?
@thecrowsnest6963
3 ай бұрын
They're everywhere! Clouds, cauliflower, etc.
@shazmunchdylbertoid
3 ай бұрын
why is it there tho
@switzerlandful
Ай бұрын
How can any number not lead to infinite or shrink infinitely?
@switzerlandful
Ай бұрын
As in, not do either, but is stuck intbetween?
@switzerlandful
Ай бұрын
Obviously 1 stays in between.
@hapkituto2196
3 ай бұрын
I don't understand 😢
@dougant6728
3 ай бұрын
I don’t understand, you may need to tutor me , no matter what the cost I must understand.
Пікірлер: 188