You really do not understand how much I love this video The music, the imagery, the explanations, the hook in the beginning of the video, the speaker’s voice, the little story about the 2D square, and the little part at the end where the speaker says, “Doesn’t that blow your little spherical mind?” I LOVE THIS VIDEO
Actually, u can only see 2 dimensions. Just like a 2D shape can only see a 1D shape and a 1 D shape sees nothing. Only 4 dimensions can see 3D. Just imagine if u could see everything around u at every angle. U cant. But that's how actual 3D is viewed
If a 1 dimension line doesn't make a shadow, a 2 dimension square makes a 1 dimension shadow, a 3 dimension cube makes a 2 dimension shadow, de 4 dimension hypercube must make a 3 dimension shadow
So basically, when a 3D sphere passes through the Flatland (2D plane), a 2D being such as the mentioned square will only see a 1D line changing sizes. But as we 3D beings can see from the top, they are actually 2D circular cross-sections. .. Similarly, if a 4D sphere passes through a 3D world, we 3D beings can only see a 2D circle growing and shrinking, while in actuality it would be 3D cross-sections.
Ok I saw a video on this and it says 2 dimension species can only see thorough 1 dimension 3 dimension species can only see thorough 2 dimension Implying 4th dimension species can see thorough our 3d world This leads to an infinite series (This also implies that we really are seeing the 3d world through 2d but with the help of light and it's perceptions we could figure out what 3d looks like, that sounds crazy)
Yes. But remember, that while the visual plane of the flatlanders is 1d, they still perceive and understand space as 2d, because they can perceive depth as brightness. Similarly, we can also only see in a 2d plane, but we to can easily perceive depth because of our two eyes and our brains.
This summary is incorrect. 3D object visiting 2D plane, you see 2D object changing size. 4D object visiting 3D plane, you see 3D object changing size. So if you see 4D hypersphere in our dimensions, you’ll see a sphere changing size.
I love this story because first it’s told to us with dimensions that we can understand, and then makes us think about the fourth dimension. Whenever I try to just explain the fourth dimension to my friends, they always get confused, but now I know to first talk about the third dimension compared to the second.
a quote from bill cipher "you think those chains are tight? imagine living in the second dimension, flattened minds in a flat world with flat dreams. i liberated my dimension stanford, and i`m here to liberate yours,"
The only reason why hyperspace is important to us, is because physics gets easier in higher dimensions. The famous mathematician Riemann tried to explain all nature’s fundamental forces by adding more dimensions to our current dimension. He said that a force like gravity is just a ripple in 3 dimensional space and is caused by gravity in a higher dimensional world/universe. With his number theory he could describe every object in higher dimensions (unlike Euclidean theory which could only describe objects in a 2 dimensional world, with things like the number pi. However Euclidean theory was incorrect for the real world, because our universe has 3 dimensions. This is why there had to come a new theory about geometry which ultimately led to Riemann’s number theory). Centuries later Riemann’s number theory is now used in string theory, because according to this theory a force is just an consequence from the bending of a dimension. Now string theory tries to explain all the fundamental forces of nature (the nuclear forces, the electromagnetic force and gravity) in higher dimensions (10 dimensions to be precisely). So string theory is based on Riemann’s number theory, because the physics gets easier to understand in higher dimensions and maybe we can find the ultimate grand unified theory of nature with it. When we know what it’s final mathematics then are, we can calculate how much energy it will costs to create and open a wormhole (which we could use to escape our universes, when our own universe dies in the far future). That’s why you could say that such a grand unified theory really is a theory of Creation, because such high temperatures were only reached in our universes when the big bang took place and our own universe formed. When we have reached the temperatures needed to open a wormhole, a new universe is born and we could escape our own universe trough that same wormhole. If we want to survive than we have to escape in hyperspace in the end.
Ok you started off great but turned a bit OTT towards the end. I highly doubt it would ever be possible for humans to travel using a "wormhole" if it were even possible for us to manually create one, we would die. This is nature remember, to say we can create wormholes would say we are god
I've often wondered if many (or all) of the supernatural things people have been claiming to see over the millennia (everything from demons/angels to ghosts, UFOs and even cryptids) are actually higher dimensional things passing through our 3D world like the sphere passing through a plane.
GOD is almighty and he decide that for humans 3 dimension is a perfect living place so if GOD send an angel to you he will make sure that the angel is 3 dimensional. But GOD is above every infinte dimension and every thing that exists. In fact he is the one who created every single thing that exists in the Universe!
@@radd.q6117 OK, then. Question: If "GOD" is omnipotent, omniscient, and omnipresent...Why do most of his followers either ignore or bicker over HIS teachings? Also, no one intelligent and compassionate blindly follows any one religion. Also, nothing you said is "fact" it's just your beliefs. That's fine, but keep them to yourself. Your evangelizing is so exhausting for the people around you, I bet.
@@radd.q6117 God isn't real, and talk like this doesn't belong in the comment section of a scientific video based on actual math, science, and reasonable theory. God is nothing but pure speculation and "trust me I heard his voice" type stories. You have no proof and no reason to be acting this way here.
Well all humans actually see the world in two dimensions. It’s just that lighting and things getting smaller/bigger let us know about depth. It’s like how the 2d shapes could only see in 1 dimension.
It's just bulshit brother he said extend 3 more lines perpendicular to the 3 existing lines, so basically each of the new line will be in the other 2 existing planes
Assuming light and darkness function the same in the 4 dimension. Shadows are basically just spots of no light bro. Shadows are everywhere all the time there's just light coving them
The wall on which your shadow would be printed is 3D but the surface is 2D no matter what. Thats why the wall also needs to be 4D and you can't have 3D shadows in this world.
Try imagining it. Like, a cube on a cube, but a little distant from all the lines of the previous cube, say 1 cm. You get anything? And that's a tesseract!
Everyone thinks of shadows as something special. Quite frankly its not even there, its 'existence' we have given it is just an illusion. They are just an absence of light, like how cold doesn't exist either, just an absence of heat. That is why we have absolute zero and maximum darkness because they all depend of the absence of something. E.g. you cannot add more 'cold' to make an object go beyond absolute zero.
+QuantumBeing That is not the point -_-, imagine replacing every 3D object in the world with a 4D object and replace every 2D picture of an object with a 3D picture of an object O.O
Can’t believe it has been over a decade since this was published. I remember when it came out. I always find my way back to it. Times were different but my imagination is the same 🙂
+Bartosz Olszewski Does your dimension not have diversity in math teachers because mine does and now I don't know who to slap with my chair :( *Insert social justice warrior attacking people who don't use nutral terms*
@@Mark-Wilson so AI could communicate in many different dimensions since they are not directly constrained by form. Although they are not autonomous as of yet.
Yeah, like how people cannot describe or explain what "green" is to a person who is color blind to green... Colors and other sensory perceptions are molded by the the "data" the brain processed from the inputs the sensors received from the outside world, I wonder how we, humans, a three dimensional species, can somehow perceive higher dimensions with our three dimensional mind. I am not talking about the hypercubes, or 4-spheres (4 dimensional spheres) that mathematicians (geometrists? Like how "geologists" are from "geology + -ist + -s") have come up with. I think those are more of "approximations" of the 4-D figure, like how we approximate a 3-D figure on a paper...
We can't see a 4th dimension substance same with that a 2D can't see a 3d object. So, we can't say that we are the only living beings in this whole universe.
@@Tom-id7zr just if it passes through their world. The fact that we just see 3 dimensions means that we can just see a tiny fraction of our universe. The past and the future are an example of this, we can't see them no matter what because we can't move through the 4th dimension
This is going to sound dramatic, but I'm about to cry from joy. I've wanted to know for months how we would hypothetically visually experience reality if we were shifted to a 2-d universe. I can't believe I'm alive in a time where I have the access to this answer in an "explain like i'm a 10 year old" at my finger tips, on such an incredibly animated video.
"Carbon stars with ancient satellites colonized by sentient fungi. Gas giants inhabited by vast meteorological intelligences. Worlds stretched thin across the membranes where [the] dimensions intersect... Impossible to describe with our limited vocabulary!" -Dr. Breen
This is beautifully done-- from the music to the animation to the narration. I've read Flatland and enjoyed it, but I think any reader can skip the book and watch this instead because it makes much more sense. Thank you!!!
Honestly this is such a massive distortion of the book though. Flatland is actually quite horrifying, but got some reason the educational folk don't want to talk about the oppression, the genocide, the indoctrination, etc. that the book focused so heavily on, and so you only get a fraction of the books content.
I had genuine tears when I stumbled upon this video when i had smoked weed. So beautiful. I had always wanted to know what life would look like if we were confined to a 2D universe. The little characters are so cute and the music is so warm and fuzzy.
This video is not just about dimensions and mathematics, its about a bigger question, in that what is out there? We are very comfortable in our relatively limited way of thinking but if we open our mind to more possibilities, and that the unknown could be known if we are able to look outwards a bit more. Curiosity is not a crime, its the first step to knowledge.
I watched a "scary" movie about a poltergeist, during witch the experts on the matter were talking of the ghosts being lost in another dimension, where there are no straight lines, ect. And then I thought the exact same thing. I think I have a new personal belief. Just think, in higher dimensions, time can actually be represented as a physical space. Knowing that, could our 4d (3 spacial dimensions and time )universe be inside a 5d space, where every moment in time is a physical area? so people who in our 4d universe who have been dead for a long time could still exist in a 5d world, hence why when they pass through our dimension, they look strange? IDK, but I know this rant is what I'll repeat when somebody asks if me if I believe in ghosts.
It is impossible because it would break all the rules of physics and math(any 4D object has infinite mass and any 2D object has 0 mass). In a 4D world, a 3D "world" would only be a slice of the 4D world and 3D objects wouldn't exist
Everything that's ever happened in your life up to this point has lead to you reading these comments and stopping on mine in particular, you can do great things with your life, that's why it was given to you as an experience. Be kind, save a life . Pay it forward!
I love this concept! Just like the 2D people couldn't see 3D around because of their perception, maybe 4D and even higher dimensions are all around us but we can't see them with our 3D eyes. Maybe it's right in front of our eyes, hidden amidst the floating dust particles.
+ToadStar100 No cause, the hypercube it still got just lenght, height and direction, three values so it's still being a 3 dimension object, it's impossible for our mind to think about a 4 dimension object unless we see it.
+Naim Bensaed Zian Thats not true, no. As per the demo in the video, you have to stretch the cube in a 4th dimension, giving it more than just length, height, and width. You are correct though that it is extremely hard to comprehend without seeing it, which is impossible with our senses.
+ToadStar100 I saw a video (I think it was Matt Parker's Royal Institution talk) which showed the 3D net of a 4D hypercube. It was 8 cubes. I think there were 4 on top of each other and then 4 around a single cube.
+ToadStar100 Nobody does, thats the nature of it. It is mentally and physically impossible to know what it looks like. Its super annoying I know. I have been interested in 4 dimension theory for several years now and I have read a number of books looking for an explanation. The unfortunate fact is we can only understand the 4th dimension through mathematics. We cannot visualize it. It sucks.
String theory? Correct me if I'm wrong but isn't that is just a theory where we almost got everything, we almost can understand our universe but it needs 10th dimension to begin with?
I watched this video a few months ago and now I'm basically making a game about a square fighting to get to the 3rd dimension... thanks for the great video
Love watching TED Ed videos, been watching them for a long time, but this is the first time I've commented on one as this is definitely the best, most moving and beautiful ones I've ever seen. It just leaves you feeling great ... :) In the era we live in now, it's important not to lose the gift of 'imagination', the thought of possibilities and magical ideas which our ancestors had but we now feel to be completely crazy...
Fun Fact: Humans *can* see in 3d, the brain has trouble processing visual data without at least trying to reconstruct it in three dimensional space. Its why you are able to imagine the space you are perceiving from different perspectives, and memorize the layout of a building.
No, humans can't "see" in 3D, but they can "visualise" in 3D. There's a difference. Whatever we see, is ultimately just a print. Our brain is just able to differentiate objects into 3D easily by looking at their depth, distance. I hope you have heard of how many games print 3D worlds with 2D printing. If you are into coding, you will understand it very well.
@@hritviknijhawan1737 Can we settle this debate? is there any scientific conclusion on this topic of how does human vision works regarding dimensions?
@@kashutosh9132 yeah, the debate is indeed already settled for us by others. Just think about what actually happens when we see anything. Light bounces of the object and enters our eye, where it forms an image. A 2D image. Think of it like a projector maybe. A projector cannot project light into 3D. We all see the world around us in a 2D image but our minds are capable enough to perceive it in 3D. It's the exact same thing as looking at a picture. Tell me, when you look at a photograph or a movie even, it is on a 2D surface, yes? But by looking at the picture or movie you can tell which object is where, and that they represent an image of something 3D. If we were to see in 3D, we would be able to see all sides of an object all together. We would see an object's length, width and height all together from all sides. Right now, we see only 2 out of these 3 dimensions when we look at a 3D object, which also hides 50% or more of the information of the object. Similarly, if we were to see in 1D for instance, which, talking hypothetically, a life form living in 2D would see, we would only see an objects length, just a tiny tiny infinitely thin slice of it, if you get what I mean. I hope it's clear to you now. :)
Then maybe President Sphere would try and kill you for trying to preach the gospel of 4 dimensions. (Only people who have actually watched Flatland the movie will get this)
Its a 3D representation of it. Kinda like if you take a photograph of someone and lay that photo on the table, its actually just a 2D polaroid thats representative of the original
What if I draw a square shape on a paper is it already a 2 dimensional? And what if I created a shape using lego and shaped it in 4D is it already in 4 dimensional? Literally?
ive always thought of writing a book about a 1 dimensional world where the social hierarchy is based on how far up you are and since there is no way to go around others you are stuck in your section from birth to death. the story would then follow a dots journey of entering the second and third dimension to advance his species understanding and abolishing the 1d social hierarchy. but then i would always remember that i cant write.
wait, I have a question. Even if the ball lifts the square high in the air, the square still shouldn't be able to see the third dimension, just one dimensional projection( the same type that is sees) just from a different angle, different perspective, or should it?
Correct, there is no such thing as a 2d shape because if we draw a line there will be length, width and also height because of the led that is on top of the paper. Even a shadow is 3d because are eyes would not be able to see a 2d object. If it has no height, then that means it would be flat down, therefore there would be no 2d (or 1d) object that we can see through the human eye.
There's no such thing as "2d object" in practice, in theory anything with width 0 would mean 2d, but that means its volume would be 0, and it's mass would not exist.. and that thing doesnt exist, anyways 2d is a thing humans defined so literally if you mean something with width close to 0 as 2d, then yeah, a line, paper, shadows would be 2d (It's weird, shadows have mass and can "push objects around just like light"
1:37 I think Edward Abbott overlooked something here. The 2D creatures would have depth perception if they had 2 eyes instead of one. A single eye only sees a 1D line segment (like how one eye only sees a 2D image in our 3D world), but two eyes would create a parallax effect, allowing flatlanders to directly perceive the second dimension just like our two eyes allow us to directly perceive the third! Interestingly, creatures living in an n-dimensional world would always need exactly two eyes to have depth perception in their n-dimensional world no matter how high n goes. For example, 4D creatures would not need three eyes (as one might assume) to see properly in 4D, because each eye would see a slightly different "flat" 3D image, so two eyes side by side would produce a parallax effect that would add the perception of 4D depth.
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
Dont we just love explaining 4D on a 3D Universe in a 2D Screen
by your 1D brain(not original btw)
Excuse me what?
Soham Halder I was gonna comment that 😂
레리오 wooooooooooosssshhhhhhhhh
On a flat earth
Can we just stop for a moment and admire the animation?
Yes we can
Fire Nation Files Cute animation faces!!
Fire Nation Files FR🙌🏾🙌🏾👏🏿👏🏿👌🏿👌🏿
👏👏👏
Way ahead of you
You really do not understand how much I love this video
The music, the imagery, the explanations, the hook in the beginning of the video, the speaker’s voice, the little story about the 2D square, and the little part at the end where the speaker says, “Doesn’t that blow your little spherical mind?”
I LOVE THIS VIDEO
my fav ted-ed video😊
mee too ❤️
Me too, this video is just right
Pierpaolo Casamassima I KNOW!!!
I absolutely effin love this video.... 😭
I literally almost cried at the end. "Dosnt that blow your little spherical mind?" Yes. Yes it does sir
I had tears in my eyes thinking how little and insignificant we are
@@CasperSoulET what
@@CasperSoulET God is Good and great
it sounds so great
You're cringe
We just gonna ignore how square homie just got murdered?
0:36
We all did. We cried in silence
rip squary boii
F
F
Rip 🙏😢
That sphere is making me feel happy about everything in life :)
:)
😊
:D
Me too. Until it denied the existence of the fourth dimension.
+MysteryHendrik yeah
what a bitch moove that was
"Doesn't that blow your little spherical mind?"
Flat eathers: What spherical mind?
Flat circular mind..! 👻😅
Say to Flat-Earthers Doesn't that blow your circular mind
TED-Ed: Doesn’t that blow ur little spherical mind?
Me: It blows my mind, yes, but my mind is not a sphere.
They don't have brains lol
*Flat Earthers: What's a mind?
Here is TED-Ed explaining four dimensions, And I still can't BELIEVE that people say ThE EaRtH iS fLaT
Maybe they are people from a 2-D world who don't know about 3D lol
@@Ayush.Sharma true
Very true Sharma ji ka beta
@@zanisenghor8982 😂😂😂
They definitely two dimension beeing
NO it doesnt blow my mind... it makes me sad that I'm limited to 3 dimensions :(
Actually, u can only see 2 dimensions. Just like a 2D shape can only see a 1D shape and a 1 D shape sees nothing. Only 4 dimensions can see 3D. Just imagine if u could see everything around u at every angle. U cant. But that's how actual 3D is viewed
+Merlin Gerlosa lol best comment ^^^
+Guzmus
We have 2 eyes, we perceive 3 dimensions.
+Jerry Man :(
+Ruadd if you were smart. You would under stand that you can't see 3D
If a 1 dimension line doesn't make a shadow, a 2 dimension square makes a 1 dimension shadow, a 3 dimension cube makes a 2 dimension shadow, de 4 dimension hypercube must make a 3 dimension shadow
Sorry for bad english
yep
Hmmmmmmm true I wonder what it would look like with my 3D mind.
AwesomeErik a cube would be my guess
That is not true a 4th dimensional being or shape would be just a 3D shape but it has time in its dimension, so it would just have a 2D shadow.
Brain.exe has stopped working.
sphericalbrain.exe !!
404 brain not found
brain.exe started working:)
Brain.exe is not existent.
666 likes
So basically, when a 3D sphere passes through the Flatland (2D plane), a 2D being such as the mentioned square will only see a 1D line changing sizes. But as we 3D beings can see from the top, they are actually 2D circular cross-sections.
..
Similarly, if a 4D sphere passes through a 3D world, we 3D beings can only see a 2D circle growing and shrinking, while in actuality it would be 3D cross-sections.
Nice this is the best summary
Ok I saw a video on this and it says
2 dimension species can only see thorough 1 dimension
3 dimension species can only see thorough 2 dimension
Implying 4th dimension species can see thorough our 3d world
This leads to an infinite series
(This also implies that we really are seeing the 3d world through 2d but with the help of light and it's perceptions we could figure out what 3d looks like, that sounds crazy)
Yes. But remember, that while the visual plane of the flatlanders is 1d, they still perceive and understand space as 2d, because they can perceive depth as brightness. Similarly, we can also only see in a 2d plane, but we to can easily perceive depth because of our two eyes and our brains.
@@serpentmaster1323 so how would a 1d world see? In 0 dimensions?
This summary is incorrect. 3D object visiting 2D plane, you see 2D object changing size. 4D object visiting 3D plane, you see 3D object changing size. So if you see 4D hypersphere in our dimensions, you’ll see a sphere changing size.
1:30 the hexagon is bullying the square
In the story, polygons with more sides had higher rank in society.
It booped it him, pushed him and then said "bprr" which in flat land language, is quite rude.
@@pnute6331 translation plz
Tiberian Fiend
Circle: 😔
I guess it's not hip to be square
I love this story because first it’s told to us with dimensions that we can understand, and then makes us think about the fourth dimension. Whenever I try to just explain the fourth dimension to my friends, they always get confused, but now I know to first talk about the third dimension compared to the second.
This is so cute i almost cried...
same here
i know right!
Tomas, was alone.
huh, what a weird first thought to have.
the rudest of clouds omg i had that in my mind too! the geometrical objects and music really remind me of that game :)
This 4 minute vid was better than 99% of Summer blockbusters......
a quote from bill cipher
"you think those chains are tight? imagine living in the second dimension, flattened minds in a flat world with flat dreams. i liberated my dimension stanford, and i`m here to liberate yours,"
Oh wow
technicallly bill cipher is in from the 4th dimension
@@maskrlzxw6823 no he literally says he’s from the 2nd dimension
welp
Aged very well
Flat earthers live in flatland XD
and then they get killed when itroduced to the 3d space becouse its like you can go trough concreat
yes! and their 1 dimensional brain
But earth is flat in special view,doesn't that mean all of us are flat?
We have an intellectual in the house
Lol yeah right
why do I learn more on UA-cam than at school?
+Nessy Bomber Reasons
I do to
+Nessy Bomber Cuz you don't pay attention in school ( ͡° ͜ʖ ͡°)
same here
Me too (;-;)/ bye teacher
The only reason why hyperspace is important to us, is because physics gets easier in higher dimensions. The famous mathematician Riemann tried to explain all nature’s fundamental forces by adding more dimensions to our current dimension. He said that a force like gravity is just a ripple in 3 dimensional space and is caused by gravity in a higher dimensional world/universe. With his number theory he could describe every object in higher dimensions (unlike Euclidean theory which could only describe objects in a 2 dimensional world, with things like the number pi. However Euclidean theory was incorrect for the real world, because our universe has 3 dimensions. This is why there had to come a new theory about geometry which ultimately led to Riemann’s number theory). Centuries later Riemann’s number theory is now used in string theory, because according to this theory a force is just an consequence from the bending of a dimension. Now string theory tries to explain all the fundamental forces of nature (the nuclear forces, the electromagnetic force and gravity) in higher dimensions (10 dimensions to be precisely). So string theory is based on Riemann’s number theory, because the physics gets easier to understand in higher dimensions and maybe we can find the ultimate grand unified theory of nature with it. When we know what it’s final mathematics then are, we can calculate how much energy it will costs to create and open a wormhole (which we could use to escape our universes, when our own universe dies in the far future). That’s why you could say that such a grand unified theory really is a theory of Creation, because such high temperatures were only reached in our universes when the big bang took place and our own universe formed. When we have reached the temperatures needed to open a wormhole, a new universe is born and we could escape our own universe trough that same wormhole. If we want to survive than we have to escape in hyperspace in the end.
But probably we will never see a higher dimension than our 3D universe. It will only stay as math on paper
I say you are watching too many science fiction movies
Ok you started off great but turned a bit OTT towards the end. I highly doubt it would ever be possible for humans to travel using a "wormhole" if it were even possible for us to manually create one, we would die. This is nature remember, to say we can create wormholes would say we are god
u forgot hermann grassman
Stop being r/iamsmart
I've often wondered if many (or all) of the supernatural things people have been claiming to see over the millennia (everything from demons/angels to ghosts, UFOs and even cryptids) are actually higher dimensional things passing through our 3D world like the sphere passing through a plane.
that actually sounds cool
GOD is almighty and he decide that for humans 3 dimension is a perfect
living place so if GOD send an angel to you he will make sure that the angel is 3 dimensional. But GOD is above every infinte dimension and every thing that exists.
In fact he is the one who created every single thing that exists in the Universe!
@@radd.q6117 OK, then.
Question: If "GOD" is omnipotent, omniscient, and omnipresent...Why do most of his followers either ignore or bicker over HIS teachings?
Also, no one intelligent and compassionate blindly follows any one religion.
Also, nothing you said is "fact" it's just your beliefs. That's fine, but keep them to yourself. Your evangelizing is so exhausting for the people around you, I bet.
@@radd.q6117 Top ten ways to start a fight.
@@radd.q6117 God isn't real, and talk like this doesn't belong in the comment section of a scientific video based on actual math, science, and reasonable theory. God is nothing but pure speculation and "trust me I heard his voice" type stories. You have no proof and no reason to be acting this way here.
What if flat earther aren’t crazy and they can only visualize in two dimensions?
That would be strange...
That's possibly the case, probably there's a 2d complex or something some sort of dyselexia thingy
We can only see in two dimensions. Our brain jus puts the images together to give us depth
Well all humans actually see the world in two dimensions. It’s just that lighting and things getting smaller/bigger let us know about depth. It’s like how the 2d shapes could only see in 1 dimension.
Ok
" Also called the Tesseract "
*HOL' ON...*
Uhh sowat?
Me as an Avengers fan: *_surprised pikachu face_*
*AVENGERS, ASSEMBLE*
@@xail1182 *assemble but ok
@@artofvale_1122 thank u
4:30 "Doesn't that blow your little spherical mind?" **BA DUM CHSSSS**
I'm just replying cause no one has in a year
Sernin Squad Lel
IndustryOfMagic: It's more of an oblate spheroid, but OK.
Sernin Squad lol
roasted
"Also called the Tesseract"
My spherical mind: LOKIIIIIII
I don’t get it!
Haven't you seen avengers
SERIOUSLY!!
My 3D mind feels unable to imagine a tesseract. 😂
Tammy Xu
We cannot imagine something beyond our limitations.
*Loki has joined the chat*
Tammy Xu My mind can pictures lots of Tesseracts
Yes
It's just bulshit brother he said extend 3 more lines perpendicular to the 3 existing lines, so basically each of the new line will be in the other 2 existing planes
What if Dark matter is just 4D matter interacting with our "3D slice"?
Oh my god! I have a feeling that you are right! Thanks for this idea
Thank you very much
@@avw5kt that's a very interesting point of view!
Never thought of it this way but could be true.
haha
Does one still have to pay taxes and the mortgage in the 4th dimension?
Yes, there are Jews even in the 4th dimension. Their reach is limitless.
Sure, except they're a whole dimension higher
Yes
No, but 4D eliminates tangled headphones and waiting at traffic lights (lines in 4D can’t be tied in a knot.
Leonardo Gil Rojo why not?
I have been watching Ted-Ed videos for the past few years and so far this one it's the greatest one I've watched. So awe-inspiring and moving.
Wait so if 3D objects have a 2D shadow would a 4D object have a 3D shadow?
Assuming light and darkness function the same in the 4 dimension. Shadows are basically just spots of no light bro. Shadows are everywhere all the time there's just light coving them
yes
If 4d has 3d shadows it's like your clone now
@@SuperBabyMario0C actually he is right. In the fourth dimension they would have 3d shadows. Look it up
The wall on which your shadow would be printed is 3D but the surface is 2D no matter what.
Thats why the wall also needs to be 4D and you can't have 3D shadows in this world.
When the 3D cube extended into 4D cube. My brain went on a long vacation.
Try imagining it. Like, a cube on a cube, but a little distant from all the lines of the previous cube, say 1 cm. You get anything? And that's a tesseract!
A smol cube inside a big cube then u connect their the corners with a lign.
Imagine you’re 4 dimension and your shadow is 3D. Doesn’t that blow your mind?
+Cardin Bui well for all we know so far, theres only 11 but I get what you mean.
+Cardin Bui a 3D shadow would look like a ghost
+Cardin Bui ADVENTURE TIME
Everyone thinks of shadows as something special. Quite frankly its not even there, its 'existence' we have given it is just an illusion. They are just an absence of light, like how cold doesn't exist either, just an absence of heat. That is why we have absolute zero and maximum darkness because they all depend of the absence of something. E.g. you cannot add more 'cold' to make an object go beyond absolute zero.
+QuantumBeing That is not the point -_-, imagine replacing every 3D object in the world with a 4D object and replace every 2D picture of an object with a 3D picture of an object O.O
Can’t believe it has been over a decade since this was published. I remember when it came out. I always find my way back to it.
Times were different but my imagination is the same 🙂
So if I were 4D I could see inside my friends.
Faces Deluxe 9000+ yea, like a mri scanner
Faces Deluxe 9000+ no but you could see his future, past and present.
Faces Deluxe 9000+ basically, you could his life.
but time is not a dimension
Yes. But it won't be like x-ray vision. It'll be like the inside out of your friend. For example, turning a tennis ball inside out.
Why do I feel bad for the sphere when he can’t help square boi go to higher dimensions
Wait, if two dimensional objects are flat, and everything has height, even at a molecular level, does that mean nothing is truly two dimensional?
yeah.
next time your teacher says to draw a two dimensional figure slap him in tbe face. with a chair or something.
Well in our dimension 2-D is impossible, but maybe 2 dimension really exists
+Bartosz Olszewski Does your dimension not have diversity in math teachers because mine does and now I don't know who to slap with my chair :( *Insert social justice warrior attacking people who don't use nutral terms*
Leif Knox your racist
Fun fact: paper or anything drawn on paper is still 3D it’s just that the hight is less
@@GumballWaterson1990 yes did you actually think it was 2d the atoms and molecules are three-d and still have height and it isn't that small
@@GumballWaterson1990 yes did you actually think it was 2d the atoms and molecules are three-d and still have height and it isn't that small
Images within a screen are 2D no?
@@anthonydowney9675 yeah but the screen itself is 3d just is very thin but the image is 2d yes
@@Mark-Wilson so AI could communicate in many different dimensions since they are not directly constrained by form. Although they are not autonomous as of yet.
Seriously the best presentation I have seen over the ascending dimensions. Well done.
Just WOOOOW, I really love the thought that 4D creatures could occasionally enter our 3D world!!
Awesome video!!!!
John Brighton dafuq
jonni2 like angels and demons in movies boi!!! What if they are really creatures from another dimension O.O
@John Brighton God. Think about it......
But 4d isn't even real though.
SBP Saga_ ErubPub
Thats what the other 2 dimensional shapes said too
“Wondering what all the fuss is about” ok then you try imagining a fifth dimension.
same with the fifth dimension try imaging a sixth dimension
and the cycle goes on and on and on
@gg could you please explain how does that even work? I thirst for your knowledge
LOL
Which direction is the fifth dimension?
for some reason, this made me cry
Me too
Excuse me while I go have an existential crisis.
why is this me
Same
AnthonyChannel Funny and original
Congrat x)
Well yes, but it's a _good_ existential crisis! Fourth dimensional friends!
It's like more intelligent creatures can't understand even more intelligent creatures, but can understand less intelligent creatures than them.
But can't understand how the less intelligent can't understand them and how to explain it to them.
Lol, idk
+Evelina Stankevičiūtė yes!!! you are absolutely right. good way of thinking
Yeah, like how people cannot describe or explain what "green" is to a person who is color blind to green... Colors and other sensory perceptions are molded by the the "data" the brain processed from the inputs the sensors received from the outside world, I wonder how we, humans, a three dimensional species, can somehow perceive higher dimensions with our three dimensional mind. I am not talking about the hypercubes, or 4-spheres (4 dimensional spheres) that mathematicians (geometrists? Like how "geologists" are from "geology + -ist + -s") have come up with. I think those are more of "approximations" of the 4-D figure, like how we approximate a 3-D figure on a paper...
you are getting too philosophical here, calm down.
We can't see a 4th dimension substance same with that a 2D can't see a 3d object. So, we can't say that we are the only living beings in this whole universe.
Of course. There's animals and bugs and plants and the whole shebang
You are acting as if this is real. LMAO
There are bugs?
*Starts the Debugger*
But those dimensions don't really exist
@@Tom-id7zr just if it passes through their world. The fact that we just see 3 dimensions means that we can just see a tiny fraction of our universe. The past and the future are an example of this, we can't see them no matter what because we can't move through the 4th dimension
This is going to sound dramatic, but I'm about to cry from joy. I've wanted to know for months how we would hypothetically visually experience reality if we were shifted to a 2-d universe. I can't believe I'm alive in a time where I have the access to this answer in an "explain like i'm a 10 year old" at my finger tips, on such an incredibly animated video.
"Carbon stars with ancient satellites colonized by sentient fungi. Gas giants inhabited by vast meteorological intelligences. Worlds stretched thin across the membranes where [the] dimensions intersect... Impossible to describe with our limited vocabulary!" -Dr. Breen
This is beautifully done-- from the music to the animation to the narration. I've read Flatland and enjoyed it, but I think any reader can skip the book and watch this instead because it makes much more sense. Thank you!!!
Honestly this is such a massive distortion of the book though. Flatland is actually quite horrifying, but got some reason the educational folk don't want to talk about the oppression, the genocide, the indoctrination, etc. that the book focused so heavily on, and so you only get a fraction of the books content.
The music is like I think it was called “Thomas was alone” really good game.
Severely underrated, too. It’s been 3 years since I last touched that game and this is the first reference I’ve seen to it since then.
Marauder G Realy? Dang.... Did you play the eleventh chapter?
@@helpme7704 I completed EVERY chapter. From the very first all the way to the final level of the Benjamin's Journey DLC
Marauder G cool!
Ok
I always cry when I watch this video. The music and the animation really set the mood.
I had genuine tears when I stumbled upon this video when i had smoked weed. So beautiful. I had always wanted to know what life would look like if we were confined to a 2D universe. The little characters are so cute and the music is so warm and fuzzy.
The ending of this was surprisingly lovely, even touching.
*minding my own business*
*a hypersphere grows*
me: is that... A 4 DIMENSIONAL SHAPE?!
*now it shrinks and disappears*
me: wow
Me, as a octahedron: boi have u seen dat 4d games video?
This video is not just about dimensions and mathematics, its about a bigger question, in that what is out there?
We are very comfortable in our relatively limited way of thinking but if we open our mind to more possibilities, and that the unknown could be known if we are able to look outwards a bit more.
Curiosity is not a crime, its the first step to knowledge.
"Doesn't that blow your little spherical mind ?"
Words I won't forget....
This is what I like about learning !!!
Curiosty!!!!!!
What if paranormal activity, things appearing and reappearing (ufos, supernatural phenomena) is something 4d accessing and exiting our 3d plane?
I watched a "scary" movie about a poltergeist, during witch the experts on the matter were talking of the ghosts being lost in another dimension, where there are no straight lines, ect. And then I thought the exact same thing. I think I have a new personal belief. Just think, in higher dimensions, time can actually be represented as a physical space. Knowing that, could our 4d (3 spacial dimensions and time )universe be inside a 5d space, where every moment in time is a physical area? so people who in our 4d universe who have been dead for a long time could still exist in a 5d world, hence why when they pass through our dimension, they look strange? IDK, but I know this rant is what I'll repeat when somebody asks if me if I believe in ghosts.
This idea is also a main idea in the movie 'Interstellar'
Wout Kops kind of. the 4th dimmension in that case is time. and the tesseract allowed cooper to access the bookshelf
+Barron Risling Well everything they do will happen at the same time. He will be both dead and alive.
It is impossible because it would break all the rules of physics and math(any 4D object has infinite mass and any 2D object has 0 mass). In a 4D world, a 3D "world" would only be a slice of the 4D world and 3D objects wouldn't exist
Everything that's ever happened in your life up to this point has lead to you reading these comments and stopping on mine in particular, you can do great things with your life, that's why it was given to you as an experience. Be kind, save a life . Pay it forward!
I love this concept! Just like the 2D people couldn't see 3D around because of their perception, maybe 4D and even higher dimensions are all around us but we can't see them with our 3D eyes. Maybe it's right in front of our eyes, hidden amidst the floating dust particles.
But then the question arise - where are those 2d organisms?
@@kashutosh9132bacteria, plant cells, are essentially 2 dimensional.
@@Mabbdaa
No
They too have thickness(height) - to they are 3d as well
I’m fascinated, that’s all so incredible, a little gout dropped from my eyes at the end.
This made me cry....
+Luna Venus I am glad I am not the only one :)
This explained interstellar to me
All we have to do is observe flat earthers to see what it feels like living in another dimension
😂😂😂
the animation is mind blowing, knowing that this video is 8 years old even blow our mind once again
A line is made of 2 points.
A square is made of 4 lines.
A cube is made of 6 squares.
So a hypercube is made of 8 cubes?
+ToadStar100 No cause, the hypercube it still got just lenght, height and direction, three values so it's still being a 3 dimension object, it's impossible for our mind to think about a 4 dimension object unless we see it.
+Naim Bensaed Zian Thats not true, no. As per the demo in the video, you have to stretch the cube in a 4th dimension, giving it more than just length, height, and width. You are correct though that it is extremely hard to comprehend without seeing it, which is impossible with our senses.
Eric "Ozzy" Osburn Well, yeah, I haven't got a clue of what the 4th dimension would look like.
+ToadStar100 I saw a video (I think it was Matt Parker's Royal Institution talk) which showed the 3D net of a 4D hypercube. It was 8 cubes. I think there were 4 on top of each other and then 4 around a single cube.
+ToadStar100 Nobody does, thats the nature of it. It is mentally and physically impossible to know what it looks like. Its super annoying I know. I have been interested in 4 dimension theory for several years now and I have read a number of books looking for an explanation. The unfortunate fact is we can only understand the 4th dimension through mathematics. We cannot visualize it. It sucks.
This is the best video on higher dimensions yet! even better than 11 dimensions of String Theory
NO
Really? Then watch Lisa Randall's video on big think. She mentioned the book Flatland too.
Correct! Ted-Ed makes hard things easy! So much of amusement!
***** I bet you do, but this one is really great
String theory? Correct me if I'm wrong but isn't that is just a theory where we almost got everything, we almost can understand our universe but it needs 10th dimension to begin with?
Can we appreciate how well this video was?
This video is a masterpiece. It's so much fun!
I watched this video a few months ago and now I'm basically making a game about a square fighting to get to the 3rd dimension... thanks for the great video
Is your game ready now?
@@programmer4047 yes it is 😅
@@wazaDev Is it for Android, iOS or Windows?
Btw, what's the name of your game?
Can you provide me the link?
@@programmer4047 hopefully they’re not lying for attention haha
I want more! Keep going! I love this topic!
“These shapes are all scurrying around a flat world living their flat lives.” I got offended
You are understanding 4D
In a 3D world
On a 2D screen
With your 1D brain
And 0D of understanding
1D brain… what? What are you talking about how is our brain 1 dimensional lol
I see so u are man of culture
Speak for yourself. Replace 'You are' with 'I am'.
@@bodhisattva9762 lol
The brain is 8D
Love watching TED Ed videos, been watching them for a long time, but this is the first time I've commented on one as this is definitely the best, most moving and beautiful ones I've ever seen. It just leaves you feeling great ... :)
In the era we live in now, it's important not to lose the gift of 'imagination', the thought of possibilities and magical ideas which our ancestors had but we now feel to be completely crazy...
Best explanation of the dimensions. Two words, mind blown!
So, where can I find a 2 dimensional being?
+Marvin K. cartoons...
In reality?
Marvin K. pictures :)
living 2D creatures?
life forms ? :) i don't know..sorry :)
My little spherical mind is filled with wonder, thanks to this awesome animation!!
Fun Fact: Humans *can* see in 3d, the brain has trouble processing visual data without at least trying to reconstruct it in three dimensional space. Its why you are able to imagine the space you are perceiving from different perspectives, and memorize the layout of a building.
No, humans can't "see" in 3D, but they can "visualise" in 3D. There's a difference. Whatever we see, is ultimately just a print. Our brain is just able to differentiate objects into 3D easily by looking at their depth, distance.
I hope you have heard of how many games print 3D worlds with 2D printing. If you are into coding, you will understand it very well.
@@hritviknijhawan1737
Can we settle this debate? is there any scientific conclusion on this topic of how does human vision works regarding dimensions?
@@kashutosh9132 yeah, the debate is indeed already settled for us by others.
Just think about what actually happens when we see anything. Light bounces of the object and enters our eye, where it forms an image. A 2D image. Think of it like a projector maybe. A projector cannot project light into 3D.
We all see the world around us in a 2D image but our minds are capable enough to perceive it in 3D. It's the exact same thing as looking at a picture. Tell me, when you look at a photograph or a movie even, it is on a 2D surface, yes? But by looking at the picture or movie you can tell which object is where, and that they represent an image of something 3D.
If we were to see in 3D, we would be able to see all sides of an object all together. We would see an object's length, width and height all together from all sides. Right now, we see only 2 out of these 3 dimensions when we look at a 3D object, which also hides 50% or more of the information of the object. Similarly, if we were to see in 1D for instance, which, talking hypothetically, a life form living in 2D would see, we would only see an objects length, just a tiny tiny infinitely thin slice of it, if you get what I mean.
I hope it's clear to you now. :)
I wish a hypersphere would pick me up and show me their world ;(.
Then maybe President Sphere would try and kill you for trying to preach the gospel of 4 dimensions.
(Only people who have actually watched Flatland the movie will get this)
+// Popkrull // You are a square.
I haven't met a 4-sphere yet but at least you can play with a little tesseract wishing to reach the fifth dimension :)
michal.grno.cz/4d/
+Michal Grňo I like this. Thank you.
// Popkrull // then you realised it's nothing special.
Still my favorite teded video after all these years. The music reminds me of thomas was alone.
Lucas Layton I was wondering when someone would bring up Thomas Was Alone.
Kudos to the Animation team for this wonderful eye-candy
i read flatland in italian because i am italian, is a fantastic book!
mama miiiia!
Music from 'Thomas was alone' ?
Yeahhh, I recognised it straight away
Bummer that the authors didn't acknowledge it, specially if we consider that T.W.A. is about a 2D world.
(edited spelling)
Sounds a lot like Terraria too.
Xavi _ What about the game Fez? That game's about a 2d world turning into a 3d world.
Ha ha, exactly!
but how can u draw a fourth perpendicular 4:10
ℹ️magine
Its a 3D representation of it. Kinda like if you take a photograph of someone and lay that photo on the table, its actually just a 2D polaroid thats representative of the original
What if I draw a square shape on a paper is it already a 2 dimensional? And what if I created a shape using lego and shaped it in 4D is it already in 4 dimensional? Literally?
So. You can see 3D cube, but you can see only side in front of you. Now imagine you can see all of it’s sides without rotating it.
@@libertardsbeware4180 Does that mean that everything is comprehensible in 4D, but we just don't have biological means to see it?
this is the 9th video i’ve seen in a row
these videos are too addictive to not binge :)
ive always thought of writing a book about a 1 dimensional world where the social hierarchy is based on how far up you are and since there is no way to go around others you are stuck in your section from birth to death. the story would then follow a dots journey of entering the second and third dimension to advance his species understanding and abolishing the 1d social hierarchy. but then i would always remember that i cant write.
I can write it for you.
2:22 idk why i laughed so hard when this happening to our little buddy 😂
Thank you for this in every way possible in understanding the third to fourth dimension
Best ted ed video by far. The ending was beautiful
This somehow blew my mind, made me sad, and made me want to pursue a lifetime in physics at the same time
Better than any pixar movie. Especially when the sphere brought the square flying!
I'd actually love to see Pixar take on Flatland.😊
The idea of a 3rd dimension is absolutely insain. Attend to your configuration.
haha
The animation, the narration and the music are all excellent.
wait, I have a question. Even if the ball lifts the square high in the air, the square still shouldn't be able to see the third dimension, just one dimensional projection( the same type that is sees) just from a different angle, different perspective, or should it?
Yeah. And his brain wouldnt be able to percieve 3d too.
Does anyone know any real 2D shape? Like we can draw a line. But even that line has length, breath and width (though negligible).
Chaitanya Bhardwaj look at a shadow
a line is 1d not 2d. and thene we draw has 2 dimensions. a line with 0 hieght it is 1d. And btw a cartoon is the best exaple for a 2d object.
Correct, there is no such thing as a 2d shape because if we draw a line there will be length, width and also height because of the led that is on top of the paper. Even a shadow is 3d because are eyes would not be able to see a 2d object. If it has no height, then that means it would be flat down, therefore there would be no 2d (or 1d) object that we can see through the human eye.
Farid The Dancer a shadow isn't 3D the frick? The final casting(the lack of lit on the surface) is what we mean by the shadow
There's no such thing as "2d object" in practice, in theory anything with width 0 would mean 2d, but that means its volume would be 0, and it's mass would not exist.. and that thing doesnt exist, anyways 2d is a thing humans defined so literally if you mean something with width close to 0 as 2d, then yeah, a line, paper, shadows would be 2d
(It's weird, shadows have mass and can "push objects around just like light"
I like that background music!
It's the soundtrack from the game Thomas Was Alone.
Exactly! I was about to comment that. Which, by the way, is a great game :)
I knew it sounded like video game music! I'd have said it was a really good game track otherwise.
Morty Face thank you!
1:37 I think Edward Abbott overlooked something here. The 2D creatures would have depth perception if they had 2 eyes instead of one. A single eye only sees a 1D line segment (like how one eye only sees a 2D image in our 3D world), but two eyes would create a parallax effect, allowing flatlanders to directly perceive the second dimension just like our two eyes allow us to directly perceive the third!
Interestingly, creatures living in an n-dimensional world would always need exactly two eyes to have depth perception in their n-dimensional world no matter how high n goes. For example, 4D creatures would not need three eyes (as one might assume) to see properly in 4D, because each eye would see a slightly different "flat" 3D image, so two eyes side by side would produce a parallax effect that would add the perception of 4D depth.
So You are telling me that somewhere in a different Dimensjon There is 4D Porn
😂 😂 😂
😳
porn is already 4D, it progresses through time
you ... make things better
Does that mean porn from the fourth dimension is 5D porn?
One day i will tell this story to my son before he goes to sleep
edgy profile picture, uneccesary Xs in username, cosmic, fire, that'll be in a while
@@falcon5178 edgy reply
4:32 yes it blew my mind
Loved this channel
the sphere 's smile at the end , made my day , made me so happy , wow
the only reason why i know what a tesseract is is bc of a wrinkle in time
I still need to read that series...
Omg me to at my school we read it
Interstellar...
Is that reference to something?
Danielle Mallari
The music made me happy and sad at the sane time :)
"And this blows his little square mind."
2:20 You're welcome
Best thing I’ve watched this year so far. Thank you!