Understanding 4D -- The Tesseract
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- čas přidán 18. 11. 2016
- So this has boggled my mind for a while: How, exactly, do you rotate in 4 dimensions? Well, this video should answer that. Hopefully. As always, if you have any questions, comments, or concerns, let me know in the comment section below!
The music came from Josh Woodward (sped up 1.5 times):
www.joshwoodward.com/
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The code I used is available here:
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you show me a 4D object in 3D world on my 2D screen and I try to understand this with my 1D brain
Tbh i think a 3d entity just physically can't understand the concept of 4 dimensions
Rzułta Łuć Potfotna r/ woosh
Not first 2D screen late 3D world
Dead Ender sciencephile -_-
I know it's a joke, but your screen isn't 2 dimensional. It's 3 dimensional. The things on the screen itself is 2 dimensional.
I played myself thinking I was smart enough to watch this video
Benjy L I should stop watching because I have things to do today and I don’t want to chop my head off because it hurts
in DJ Khalid voice: congratulations, you played yourself!
Hahaha
I gave you your 666th like therefore satan is coming for you
"the obvious answer is to take a 3x4 matrix and multiply by that"
ah yes, just what i was thinking
Ahahahahahah lmaoo
Lmfao
naturally
Yeah wtdym? 😕
Its obvious isn't it
So obvious why didn't I think of that. Sheesh
I've been trying to "picture" tesseracts in my head and other four dimensional shapes and I feel seriously unwell.
Its like trying to reorganize your brain's structure.
@@she_wizzdom4410 Yeah. It's not working. Maybe I should try it while lucid dreaming. I feel like I might brick myself if I keep going though.
we are physically incapable of imagining and representing 4d since we're in 3d
@@requisitegold1010 Yes, and our visual information comes as 2d images. Which means I should stop now; but now I want to try "visualizing" an "image" in actual 3D (and not just how it looks when the light hits our eyes) as a stepping stone to visualizing a 4d image.
Update: Im feeling highly nauseous again but it's like I can almost "see" a 3d image (and not a 2d rendition of a 3d one).
Update: Oh. 3D is not too hard as long as you just try to imagine the whole structure of a relatively simple object. But it still seems like inferring shape from 2d images. I was still trying to think into the 4th dimension, it seems, thus the nausea.
I'm now trying to visualize a 4d ball on a flat plane extruded into the 4th dimension to see if that helps.
Update: I think I can visualize this.
When trying to find the longer side of the blanket
🤣🤣 For real!!
Owe!! 😂😂😂
relatable
Relatable and in the moment
LUL
I understood the part when he said see you next time
BWAHAHAAAAA!!!!!
BWAHAHAAAAA!!!!!
BWAHAHAAAAA!!!!!
BWAHAHAAAAA!!!!!
haha
I think i remember seeing something that may help visualize the 4th dimension.
Let us imagine a drawing of a stick figure holding a box, and a stick figure behind them.
We in the 3rd dimension who look into this image can see everything. The contents of the box, and the stick figure behind them.
The stick figures can only see in the 1st dimension, so the stick figure can only see lines and any lines stop their field of view. Hence why they cannot see through the box as they only exist in the X and Y axis.
If a person in the 3rd dimension were to try to interact with the second dimension, like trying to stick their hand through a page, the stick figure would only see first your finger tips, then the rest of your hand coming through, and they wouldnt understand the sequence of what this ever changing thing, one line at a time. When it is really a hand.
Let us then picture the same scenario, where we are holding a box and someone is behind us.
We cant see whats in the box, and we cant see the person behind us.
A being in the 4th dimension can see whats in the box, the person behind us, and everything else going on around us.
It trying to interact with us in the 3rd dimension would be something similar to us sticking our hand in a stick figure's line of sight. It would come seemingly out of nowhere from some other spatial reality or rift and we wouldn't understand what is really happening.
ok this single comment has helped me visualise a 4d creature entering our dimension and perceiving our dimension in the clearest way possible. thank you!
Brilliant explanation, thanks!
how do i visualize the 4th spatial dimension, like not visualizing lower dimension example, visualizing a 4d image(just a 3d image but see everthing inside)
nice explaination!
I don’t think you truly can. Our brains just aren’t wired for it.
After watching the video (watching, not understanding), I can say that I absolutely love the guitar playing in the background.
Me : okay brain, so what you got?
My last active brain cells : Cube is a box
LMAO
LOL
LMFAO
Hahahaha
I literally laughed instinctively
Trying to explain the 4th dimension is like explaining colors to a person blind since birth. There's no way to actually visualize is correctly.
yes there is because we have concept of what a dimension is
even a congenitally blind person could eventually by some means (eye implant, direct brain stimulation, etc) imagine what vision would be like because the brain is plastic and it has creativity. what that means is it can change how it thinks and that it can create something new. I see no reason why 4D should be some hyper complex impossibility while the rest of the lower dimensions are easy. the only thing keeping us from imagining 4D is not having 3D vision. however, we can overcome this. how? first, what is 3D? a visual “cube” or 3D visual plane is just a stack of 2D visual planes. we already see in 2D, so that’s no issue. BUT since we have 2 eyes, we can make 1 eye see one 2D slice of that 3D vision “cube” and another see a slice slightly offset. then we can just fill in the rest. it isn’t that difficult to gain true visualization of 4D but it will still take some effort and experimentation
@@fiatlux4448 not exactly, no. we're talking spatial not temporal
@@uzairansari9222 ur right
@@fiatlux4448 time is a dimension but not the 4th dimension, one way of understanding the 4 dimensional objects is thinking about a 4 dimensional spacetime but when talking about 4 dimensional objects, we can't consider a tesseract as just an object made up of just "time" dimensions.
@Lakshmi Priya source?
I wouldn’t even begin to comprehend this when I’m awake, let alone watching this at 2am...
Played this to see how smart I am, and discovered that im just a simple person .
no i promise you have full capability of an understanding of these ideas. it takes exposure to the math and definitions of what dimensions really are, etc.
also keep in mind that this isn't accurate portrayal, nobody actually knows what the 4th dimension is like because our eyes can only detect 2 dimensions. it's all concept (:
Most people are to understand these complicated maths requires different kind of intelligence.
*Before watching
Me : I am confused
*After watching
Me : I am con and fused
Arsh Raza Sometimes you just gotta infuse to outfuse the fuse
Lol
Lmao
*Bomb has been defused!*
@@ProfessorWumbology hows my fbi agent doing?
*You lost me at "hello "*
he didn't say hello lol
So he didn’t lose him
Skycloud same as how I never lose anyone
@@ProfessorWumbology cause' you don't have anyone
Nothing is Everything *looks at username* sigh
I remember learning about this as a kid and I made it a point to try drawing a tesseract on all of my homework so that long into the future people would be perplexed as to why a kid was drawing 4d shapes 😂
I find it so fascinating that there are concepts, such as the concept of 4 or more dimensions or the concept of being dead, that completely short-circuit the human brain and we as a species are physically incapable of comprehending them.
⚠ Brain.exe has stopped working.
Lol
😆😆
I literally burst out laughing at 2 am 😂
😂😂😂😂
Brain.exe is thermal throttling
"So, there you have it..."
No I don't...
We can draw 3D figures on a 2D screen, we would need a 3D screen to draw 4D figures on it
@@Platinwolf then we could use holograms to show 4D figures, I think it might work :D
@Fahad Zafar "you" can be used both for us and for me
@@Platinwolf Already tried that in VR, doesn't work. Math or bust on this one.
In fact that’s the only part of what he said that I really understand lmfao
As someone who lives in the 4th dimension I thought you did a mighty fine job.
a minute and thirty seconds explained a tesseract with the best explanation I've heard
2:46 ah yes, the obvious answer. I was just about to say that
its not obvious but its not difficult to come to if you've taken a class in linear algebra
LMFAO
Obviously, I'm embarrassed that he wasted time even explaining that part
😂😂😂🤦
@@kaushalbommena6321 😐
I showed this to one of my coworkers and all he said was, "nigga what?", thus proving my theory that humans are not ready for this type of knowledge
Well, if you have a question let me know! I realize there was a good bit of math in this video, which can be hard to follow.
LeiosOS oh I understood all of it, I find it fascinating learning about all these topics: Universe, Dimensions, History, Biology.
Your video is very interesting.
Well, I'm glad you enjoyed it, then! =)
Maybe that's because you work at Mcdonalds bro lol
LMAOOOOO
still I dont understand it
I was so confident about my comprehension of four dimensional time space, and you just threw in so many new curveballs with the different types of physics, and the different types of ways that our physics could be perceived differently on other places
Physics: How much of that did you understand?
Me: No.
Mathematician: It's a 4D cube with x,y,z,w
Physicist: It's just a box
we can't see what organism see in 2D but we knows how it looks like.confuse? theres a same words here but 2 meaning
What's even better is that this is a maths subject.
just when i thought i wasnt smart enough for this video i was comforted by the comments
Lol
Years ago I had a spontaneous out of body experience and felt quite confused after. I swear I could see everything with a 360º vision. Inside and outside of objects at the same time. Couldn't really feel like I was separate from the objects I saw anymore. Whatever I focused on my attention on, I would become it.
It was weird AF but it felt natural at the same time.
You were on shrooms
When was this?
Either dream or 🧢
That’s what happens when you ingest hallucinogenic mushrooms bro. Then your ego later reflects on your delusions as an out of body moment of genius. Hilarious.
🥴
Wow
This was the best one thus far. Thank you for your time and perspective.
This video should be age restricted
the video raped my brain
1998SIMOMEGA way too much information for kids to take in when they're under 18, that's the joke. They would discover life to be hopeless and the next generation will be zombies
...zombies that are trying to figure out a 4d cube...
I'm 10 and I understand this. I am still wondering what it would look like if 4d beings collided into our 3d universe.
@@arda9437 - If you understood this, you should know that isn't possible. At least not with our current perceptive organs.
This makes me feel like I live in Flat Land and an apple is messing with me
How did it feel up there? I suppose your friends didn't believe you when you told them about it.
@@solitaryskymusic I saw only your reply in my inbox and thought "what in the world did I say?!"
@@blanchy xD I thought you were referring to Carl Sagan's video of the 4th dimension
👏 Well done sir 👏
Hahah
**Confused Oonga Boonga**
One of the best explanations of 4D that I have heard. Thank You!!
Same of some other people, i didn't understand anything after 0:05 too.
I'm watching this video in front of my parents, pretending I'm so smart.
Lmao sounds legit
Lmao
mood.
Until they double check you with some questions from wikipedia. Yeah, you assure smart 🤓
Omg its Richard Hammond :0
Came here thinking I'd understand this.
Now my brain's spinning like that tesseract
XDDD
@@dragobruder6328 XDDDDX
@@Xnoob545 DDDDXX
XYZ
@@bxeagle3932 ABC
This is awesome! I'm currently trying to program a tesseract into desmos and this really helped me visualize the math side of it. Great stuff!
This was very helpful in explaining why 2D representations of tesseracts look as they do! I've always considered the w axis to be time, or duration, and tesseracts are coherent sequences of expanding/contracting 3D cubes (a simple model, to be sure). Now I see people combine the x,y and z,w planes to fit the 2D monitor. Very informative; thank you ~
I swear i never tried to understand so hardly about something in my life before
I dont know why but i imagined you in your toilet trying so hard. LmaooooOO
@@darinaz.4246 They mean he is imagining OP sitting in a bathroom and thinking hard about the 4th dimension.
@@currypenguin conclusion !
same omg
2 mins in and he says "ok lets now get a little crazy." Buddy it was already crazy for my brain after 10 seconds.
Right?? Normally I watch videos in 1.25 or 1.5 speed but I had to slow this down to 0.5 hahah
Nah fam I understand because fam I s m o r t
Such a cool animation to show this concept! Very interesting, thanks!
I had no idea what a 4D thing looked like til i watched your video...great stuff
I'll just pretend to understand this......
It’s not that hard •_•
AWS Studios yeah but u can’t understand it by intuition
Ahaan Jain elaborate
AWS Studios we experience 3D objects in day to day life so we build a sense of how they work but with 4d we don’t have that privilege
hahaha
I legit have no clue what you're saying, so when you said "the obvious answer" at 2:47 I wasn't happy
It makes sense because if you do the matrix (value 3/4) and divide it by the 4 values you can find the value of each value, or at the very least the value of 3 of those 4 values... it’s hard to explain lol
😂😂😂
@@minumeyli That isn't what he is saying lol. You would multiply the smallest number point that the cube in question can be divided equally by, from the w axis. By the point in that particular line itself. Then you would subtract the total number being rep'd by w from that number. Then you would take That number and divide it by every point in the matrix.
Basically picture 8 cubes, 24 squares, 32 edges, and 16 vertices.
WeGoBoom it’s not really obvious unless you’ve taken a class on linear algebra I think. I remember letting z equal zero when examining cross sections of 3D objects in two space... or maybe it was third section of calculus. I can’t really remember 🤷🏻♂️
thank you! i don't think i'll ever get close to understanding it, but you did a great job and now i understand a bit more...
TIMECUBE has answered and explained all of these questions decades ago!
Imagine fourth dimensional beings finding this and being like: “okay yeah kindergarten stuff”
Imagine if our brains could render 4D 0.o
@@inforcer9454 Imagine 4d beings finding this hard
The fourth dimension is not what you're thinking
Imagine a 2D world thinking 3D is so difficult
My theory: We are three dimensional beings, as humans. When we die, our soul travels to the fourth dimension, allowing us to also perceive in the fourth dimension. This is similar to the idea of us becoming ghosts when we die and being able to see our corpse post mortem. I don't believe you can interact with other 4 dimensional beings because we would be on different planes of existence. Example: in an apartment building (a 3d object in a 3d world), there are completely different lives on each floor (a plane within a 2d world). so technically, we are fourth dimensional beings, just after death.
If 5D cube was visible it’d be seen as a cube with Mental conditions
Lol
😂😂😂😂😂
😂😂😂ikr
Up till now the best explanation I could find of 4d
omg beautifully explained, loved it !
imagine 4th dimensional beings trying to understand the 5th dimension. we couldn't even comprehend a, v w x y z, axis.
interesting none the less
Yeah, it's crazy!
What would happen If humans could understand or see the 4th dimension?
then you would see time.
How would it look? Maybe we could find a way to change time if we could see and search it.
You would see the beginning and the end of everything in your universe.
You can watch the movie Interstellar, there is one scene the time is portraited in a comprehensible way.
*Loki wants to know your location*
*Connection with Loki has been lost*
*Thanos wants to know your location*
Loki has entered the chat
*Thanos connection failed*
XD
*Sans wants to know your location*
I don’t get it, do you mind explaining :)
This isn't the content I wanted, nor was it what I expected based off the title.
Well. I don't know what to tell you. This is a math video explaining a complicated topic. The title says "Understanding 4D" and specifically shows the tesseract. The thumbnail shows a 3D cube projected on to 2D, which is the easiest analogy to understanding 4D...
This is about the least click bait a video could be.
It is fun knowing people were able to visualize this.
I’m entering NTU’s faculty of mathematical sciences soon, and I understood everything you said till 0:05
Welp, better catch up soon 😂 Good luck!
I was on until about 0:00
I understood untill the xywz to xyz matrix transfer
You have very bright future 👍🤣
😂😂
3:43 "So there you have it."
Me: searches for cat videos
Lmao
Awesome explanation. Thank you
ouhhhh adding the concept of time really helped me! because it’s all at once. so that’s how you would see all those extras
Cool, now explain like I'm 2
mirre_8 booooogy wooogyyyy boooogy ole ole ole ole aww you should sleep
Naughty square is spinning again.
Lotsa lines
Square inside an another square goes brrrrrr
Spin a paper with a square on it. You understand that? Good well good luck grasping this
I was simply listening to the band "tesseract" and somehow wound up here. Now my fascination with the geometric shape of the tesseract leaves me incapable of returning to whatever state of boredom I was in. Staring at the animation of the tesseract is about as close as I have ever came to experiencing being in a trance. This is certainly what Copernicus felt when he realized we're traveling around the sun, not the other way around. The concept of "perspective" takes on more and more importance the more I learn.
Going to chime in and say it's awesome running into a fellow Tesseract (the band) fan!
Same here
@ flyboil214
"earth is flat so no rotation around the sun is possible"
Thanks for the laugh!
@ flyboii214
" the sun rotates around us"
The funny thing is people actually believe that!
Yesica1993,
actually, many of the millennial generation, believe that the entire universe revolves around them.
Thank you so much, I was having some trouble sleeping but I feel sleepy now.
It helped me a little bit: a square face is a line, a cube face is a square, a tesseract face is a cube. Each side of the tesseract is a three-dimensional cube! And there are a total of 8 of them in the tesseract, including: the inner cube (which is like hanging inside the big cube), the big cube itself, each cube if you rotate the tesseract left or right (there are 4 of them) and the two cubes at the top and bottom. And if the cube is rotated in such a way that you feel like your brain is melting, if you look closely, you can see as if the inner cube is being stretched over the outer cube every time.
2:42 “If we have a 4 dimensional point, how do we represent it in 3D?”
“Well, the OBVIOUS answer is:
(shows super duper advance math equation)”
🥴
Fr? How old are u?
FrozenGatekeeper I didn’t learn about matrices until my first year of college. In North Carolina, the math curriculum doesn’t cover them unless you took Calculus BC.
I want to like your comment, but it has 69 likes... what do I do?????
Camila Bertelli i like that number too but someone else won’t care. So put a like 👍🏼
I first time in my life heard about Matrices this year... this is my second year in University
But to a 4th dimensional being, if one hypothetically existed, would see the rotation of the tesaract as a simple rotation, much like we would see if a cube was rotating.
Totally true. That's the most mind-boggling thing about this.
So true we only know our own dimensions and less but need to study hard for the bigger dimensions
Thats the universe
...
also its not like you would know all about 4th dimension... you only get a little piece of the highers knowledge
And also in order to make a 4D object out of a 3D object we will have to add 3D objects in a 4D way just like we added planes in the Z Direction to make a cube
What if it was a 4th dimensional being that can only see in 3d, unable to see itself.
Vidar Jensen That 4th dimensional being would be the eye in this case.
This is probably the first video I've seen with examples of the math used to make these models. Interesting
Whatever the video is, I enjoyed reading the comments it made me feel that we are all the same
0D - its a point = point
1D - is't an vector of points = vector.
2D - it's an vector of vectors = plane.
3D - it's an vector of planes = space.
4D - it's an vector of spaces = vector of spaces.
5D - and so one...
Tesseract it's 4D cube? Really?
I kind of get the idea now. Thanks.
I dont get it
@@backwood2x361 me too &
Anyone including the comment writer & this video maker
Comment writer = vit.c
Video maker =LeiosOS
das is´t ja ein Vector der Punkte
Actually this comments allows to understand, more or less, why it is possible to have different representations of the 4D cube. That is, both the representation of the cube connected with the "diagonal segments" to the outer cube and the representation of two cubes of the same dimension one on top of the other are equivalent, I guess.
Me: *watches video*
Me at end of video: So it's a cube within a cube connected with lines
Basically lol
Yes. First, there’s this 0 dimension where there is only a dot. Double the dot and connect them, there will become a line. This would be the one dimension. Double the line and connect them, there would be a plane (square). This would be a 2D. Double the plain and connect them, there would be a cube. This is the 3D. Now, for the 4D. Double the cube and connect them... we can never comprehend this but at least, you have the idea.
But you see, it is not just about making two and connect. For example, in a 1D, there’s a series of dots to create a line. In 2D, there’s a series of lines to create a plane (square). In 3D, there’s a series of squares to create a cube. Just imagine slicing the cube into very thin slices. So in order to create a cube, there should be plenty of 2D planes... so in 4D, there should be a series of cubes... we can’t imagine or comprehend... but that’s the idea. A 4D “cube” or Tesseract is a series of cubes... 🤯
I like the superpower of space manipulation, so it’s something I think about occasionally, and I think I got something to _maybe_ explain part of 4D, though I’m not sure if it’s just 3D space still.
So imagine; before you is a normal, wooden desk-with nothing but a flat surface sat on four legs. On that desk is a similarly normal piece of blank paper. That is 3D space. Now shift your view to the side, to where you can see where the desk and paper meet. The space between that desk and piece of paper is 4D space. From the view of 3D it’s practically nothing, true, but in 4D the distance between the two may as well be immeasurable.
Think of it like the 4D plane is the ocean, the piece of paper is "floating" on the surface of the 4D plane right above the deepest part, the part just where the water meets ground again being that desk. Of course, this metaphorical ocean can’t be seen, so if you grabbed a pencil and "pushed" it down into that water, it would disappear, but if you had the ability (spatial manipulation) to see it and interact with it, you could "grab and pull" it back out.
Like a magician twisting their hand and making an object seem to disappear, or pulling a object out from behind a person’s ear.
Of course, this space is anywhere and everywhere, you could even "put" or "grab" a pencil from thin air, or from "inside" a cube.
And I know this may sound a bit similar to the "house bigger on the inside" thing but I like to explain that through "density", increasing the amount of space in a space. For example; having a football field’s amount of space in a 5 foot area, so traveling through it would take the amount of time it’d take to cross a football field.
I could honestly go on a rant of how I imagine to/explain to myself how space manipulation works using only more simple things, like using a pipe/tube to explain the looping hallway/area trick, but this is already long xD
yoo ngl you got good imaginaiton powers bro 😦
@@faiyazshafin_0885
Could you imagine the stuff from my descriptions?
Carl Sagan actually explained this well via using "2d trying to see 3d" to explain it. To paraphrase (ish)…
A 2d character, whether just a square on a piece of paper or a video game character like mario, can only see/move left, right, forwards, and backward, they can’t see up and down.
Say the paper square lived in a neighborhood and had similarly shapely neighbors and entered its house; to us it would just be four walls, but the square doesn’t know depth. If a 3d object was put on that piece of paper, the square would only see the part of it on its 2d plane. If that paper square were blown out of its 2d plane and into the 3d plane of "up", it would see the inside of its neighbors houses, and when it eventually fluttered back down, it would’ve appeared like it had just disappeared and reappeared in the pov of 2d.
I recommend watching the video actually
The world if teachers are explain like this man
*inserts futuristic city image
Just give me a 4D object and I'll understand it.
You wont be able to understand it. You will only see the 3d part of it.
You cant see the 4th dimension.
And if you want me to explain you can ask me. Its a big explanation so i asked you first. Its interesting. If you start to think about it youre mind will feel like its sinking in the 4th dimension.
@@anshumansingh678 I won't understand it. Because i know my nature to understand things is only possible when i touch and see it. But if your explanation is like for 10 year kid, you're welcome with explanation
@@nikdrive7695 so, firstly, if youre given a 4D object. You WILL see it as a 3D object. Your eyes wont be able to see the 4th dimension of it. You will only see the 3 dimensions. For ex-
Go in 2D world.
There people are flat with next to no height. They only see right and left. They cant see up and down. Their field of vision is a line parallel to the flat 2D world. (Like a flat paper kept on a flat table, will only see parallel to the table). So if you try to come in their world, they will only see your cross section, i.e. the cross section lying on the table(like they are lying) they will not be able to see the upper and lower part of your body. (And they cant).
Now come back to the 3D world.
If a person from the 4D world comes to your world and tries to show himself to you, you will see him in 3D not 4D. Like the 2D paper couldn't see your upper and lower body(i.e. couldn't see the 3rd Dimension part of you), you also wont be able to see the 4th dimension part of a 4D figure. You will see the 3 dimensions of it only.
Hope this helps.
Btw imma 12th grade student. (these things are not meant for a 12th grade student, lol)
(10th grade is high school -for reference.)
But.. but.. I just heard Alan Walker Alone in 8D
😂😂🤣
That man is si deep
😂😂🤣
It bugs my ears
I found after read this comment.
Hearing a 8D sound lot better than understanding visual 4D cube.
thanks for sharing the video. so knowledgeable
You made this so easy!! Thanks
So I think I can explain the link that I had to make in order for this to make sense to you guys, and the part he kinda glossed over. Each group of edges corresponds to a dimension. A cube consists of length, width, and height edges. Length alone gives you a line, adding width makes a square, which is a series of lines, and then height makes a cube, which is a series of squares. The final dimension we have for the hypercube has the diagonal edge which links the innermost cube to the outermost, with a series of cubes in between these, like the lines in a square or the squares in a cube.
Did that make sense? It would probably help to have a visual to point to, but sadly I do not have the software this guy used.
Just for the record, you definitely have my software. It's Blender, which is free and open-source. In addition, my code is in the comments. It's for an older version of blender, but still works (last I checked). It's just that the renderer changed.
I had the same idea but you said it better thanks cap
Yooo it made much more sense now!
Thank you so much
It made complete sense, (totally not capping)
Picturing a cube as a series of square does helps, thanks. Still can't visualise how a series of cubes will still not be a cube, or what'll it be, however. 🙁
I understand the concept of 4d but I cant visualize it in my mind.
RaeX The Gamer Because we never experienced it, it's hard for us
Try to imagine a new color, you can't, you can try to mix colours you already now, but you won't make a new colour
But they do exist tho, if we move along the light specter we still have other light frequencies, which would be new colors If we could see it
The same way you can't imagine a deeper sound lower than 20hz, or higher than 20000hz
Is the same thing as trying to imagine a new color
Miojo Gourmet there no such thing
@@vxvx7560 try it, i can confirm is the same as trying to imagine something that our 3d world cant compreend
Miojo Gourmet it’s not because theirs no such thing as a new colour
This was, in fact, incredibly cool.
This entire video is the epitome of "I like your funny words, magic man."
I gotta admit, I really enjoyed making this video. I have always heard about the 4th dimension, but it wasn't until I actually implemented the double rotations that I really came to understand how cool 4d stuff can be!
In particular, the projections from 4d -> 3d were hard to find on the internet, so I hope that helped someone!
As always, let me know what you think. Thanks for watching / I'll see you next time!
Are the stereographic and Hopf coordinates on that same wikipedia page of any use?
I implemented them...
Dark-Lark If I am not mistaken, this is simply taking 2d projections of a 4d object. It's crazy and a little difficult to show, but I can look into it.
Cooper Gates I honestly did not implement them myself, so I cannot be sure. I think they generally make the math a little easier.
Dark-Lark was talking about how Miegakure might render a tesseract, where none of its
cells are parallel to a 3D slicing plane, in which an image of the tesseract is "cut."
From his description, one notices how much tougher it is to visualize 4D via sectioning
rather than projection.
Will you build a 4D world that can hold many objects?
Further clarification: The cube on the inside is the cube furthest away from us in the 4th dimension, the cube on the outside is the one closest to us. The other six deformed cubes are inbetween. When you rotate in the 4th dimension the cubes change order, this is because you are changing your distance from one to another. The same thing happens with an 3 dimensional cube where we have 6 squares. The smallest square is the face away from us and the largest is the one closest. The deformed squares are somewhere inbetween. If we rotate around a cube the size of the squares changes.
Gnaeus Romanus This actually makes sense!!
Ma'shAllah, it's a great concept of 4d.
Intriguing video which I understood thoroughly. I liked when the box went squonchy
This would be great to see in VR. Perhaps the rotation would make more sense when observed in 3d instead of 2d flat screen.
Totally agreed! Maybe we could get someone one that!
or in a hologram?
This is a great idea
there are already "games" like that for VR, they alow you to rotate the tesseract along all 3 axys
Rafael Silva Care to share the names?
So it isn't a storage for the Space Stone
I don't know what that means?
LeiosOS its from the Marvel movies
Marvel fan spotted
do you know what ligma is
@@boyuhh9178 thats not funny anymore
Appreciated this 🙏💕
Video: "understanding 4D"
My brain: "video got numbers, letters, and boxes"
I went to a "4D" movie once but it was just a guy in the theater would punch you in the face during the movie
Haha, that's wonderful!
that's how I watch 4D porn with my GF
+azaquihel u sure it's a 4D movie and not domestic abuse?
Me too, but in this case my neighbour farted all the time.
Matthebonn vonbon Jaws 4D
AND I CAME TO UNDERSTAND INTERSTELLER !
😂😂
So good movie
@@shiljo2869 no its crap
ME TOO LMAO
Did u end their game!
Finally, SOMEONE WHO DOESN'T USE THE 2D EXAMPLE
Imagining these objects while under the influence of certain substances can actually make it make sense
Me:*watches*
Also me:*makes meme to cover the fact that I didn't understand a word*
I love how this isn't actually bold, Nice try lmao
@@iciest.icy.n.icy.rice.1 they are role asterisks
@@iciest.icy.n.icy.rice.1 Why does it need to be in bold letters? I think the OP got their point across just fine without bold words.
still easer to understand than women.
I’m a woman.....I TOTALLY agree!!! But you men too have your mysteries to women!!
We are pretty simple. Show up naked, bring beer.
#MaddonaWhoreComplex
#OedipusComplex
#ToxicMasculinity
and _Women_ are hard to understand?!
😏
Somehow, I think we move in different circles. I am quite ok with that.
Roger DeeDodger
or, some perhaps, _just_ in circles.
Not sure if _I'm_ ok with that; where's the progress?
When a light in a 4D world is shone on a tesseract with just the edges above a 3D surface, this 3D representation of a tesseract is the shape of the 3D shadow.
awesome. Thank you for this
THANKS 😊 for all the comments it really made me happy knowing that i wasn't the only one who doesn't get this
🙃
Where you get the PFP
It is all amazing, but the moment you realize " This is how it looks for us in 3 Dimensions " is very important part of that. Cause we cannot even observe 4th dimension or 5th and so on in its actual glory if we live in 3 dimensions. It is the same like if there would be beings living in 2 dimensions. they would never understand how the fuck 3 dimensions work or look like from their perspective. It is quite insane.
I mean best example is actually right in front of your eyes - you are looking at this video which is recorder and created in 3 Dimensional world, yet after its inside for everyone to see - it becomes 2D, no matter what you see there. " INSANE yet simple "
So even when you play games that are 3D, you observe them on your screen which means they are a 2D projection of 3d representation. Real 3D would be if you actually seen them physically around you. Not through screen.
But I do believe that dimensions are literally like a rivers that can be crossed over - but obviously when the knowledge grows higher. Cause nothing is impossible. If it would be, what the fuck would be the point ; )
Mark Johnson the sun is a prime example of a 4D being.... The insides become the outsides ;)
regarding "Real 3D would be if you actually seen them physically around you", this is not true, you still see in 2D regardless of where you look. If you truly saw in 3D (depth) then substances such as Vantablack wouldnt look 2D even if they were put on a 3D object, because you would be able to see depth. Your perception is still what makes it look like you see in depth. for instance "So even when you play games that are 3D, you observe them on your screen which means they are a 2D projection of 3d representation", imagine you played them via VR. now it looks like its a part of your reality. Lets disregard all techincal differences between VR and reality, so in terms of vision the only difference would be that the objects are real matter (and have the consequences of real matter). As far as vision goes there is barely any difference. In reality you can walk around an object to make sure its 3D, so can you in VR etc. Our eyes only see 2D, the brain makes us percieve it as 3D. My point is "real 3D" is as real as VR in terms of human vision.
This shows that everything we see is just a slither of reality and it is entirely possible to have more dimensions that we are unable to imagine since we havent seen it yet.
Is it possible that we can't see any higher dimensional beings but they can see us? Cause what if we die we become a higher dimensional being? Hmmmmm.... 🤔🤔🤔
@@century1969 Yes. The same way that we can look upon a paper and see the two dimensional being on it. They would not see us until we stick our hand through the paper, in which case they would only see a arm-shaped (arm circumference) circle. Assuming that the entities on the paper are alive, that is. They would not be able to see outside the paper and onto our arm, only the part of the arm that's straight ahead for them (which btw popped out instantaneously out of nowhere), they would be unable to fathom a third axis. Meanwhile we can't see outside of our third dimensional space, if there is an outside.
That's great! Thank you!
Thank you veeery much!
One thing to note is that the projection of a 4-D hypercube animation onto a 3-D plane causes the lengths of some sides to appear longer. In reality each and every one of the sides of the hypercube is the same length in 4-D space.
Cool observation, thanks. Another commenter called what we are seeing the "shadow" of the 4d cube and that was useful to me.
"We can represent this cube as a series of planes."
Sorry - no.
Adding planes of ZERO thickness will never produce a cube - the sum of their thicknesses is ZERO.
All the video material for the garbage can.
My DAILY BROWSING OF WIKIPEDIA 😂😂😂
@Ved Kolambkar but still a person. Period.
I came here from wiki wondering why there's 8 cubes in there and realized the 8th one is the outer most cube containing the entire thing when I saw the animation. Thanks!
Do DMT and you will see 12 dimensions
Joe Rogan approves
I would love to experience DMT. Where can I get it?
@@daviddavidson2111 deep web lol. Only do it in the right mindset
@@daviddavidson2111 find a shaman in Peru
Ayahuasca?