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The intersection of edges makes it more confusing.

4d, represented as 3d on a 2d screen percieved by my 1 dimensional brain

You can also think of it like this: Each higher dimension shape is a collection of specially arranged shapes of the previous dimension. A square is a bunch of lines. A cube is a bunch of squares. A tesseract is a bunch of cubes

I'm going to need to have a 3-Dimensional Computer Monitor in order to fully understand this simulation of the 4th dimension, halp

0:49 *DOUBLE THE POINTS AGAIN*

"You're watching this on a 2d screen of an computer monitor" Mobile users: **confused screaming**

A 4d cube has each side as a 3 dimensional cube just like how each side of a 3d cube has 2d squares on each side, to see the fourth dimension you would have to go a new direction without moving up and down, left and right, if you move that new direction, it would simply move you out of reality

I can't get enough of 4D content, it's amazing how far humanity has pushed the field of geometrics from building perfect circles to _Literally_ trying to construct objects we can't fully see or touch.

I feel this would be fun to watch while being high

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There's something kind of hilariously dismissive about the narrator, she sounds like she's pretty unimpressed that we can only view these geometries in lower dimensional space.

"you are watching this on a 2D screen" _E X P O S E D_

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When she said “Skeptical” I got all hot and heavy.

Shows 3D rotation: brain: eh easy Shows 4D rotation: brain: starts melting

I tend to think of 4d in terms of coordinates. Even though I know that its just a 3d representation of a 4d object, I am subconsciously viewing it as a mere 3d object. One method I use to view higher dimensions is let time be used to represent a fourth spatial dimension. Then smoothly transition between 3d cross sections of the 4d object. I understand the 4th dimension but I cannot see it. When I use coordinates I can solve problems with it but not see the problems themselves. x^2+y^2+z^2+w^2=1 provides a hypersphere of radius 1. All points that satisfy that equation are on the hypersphere. I can only see that by visualising a 3d sphere that starts small grows and then shrinks again before becoming nothing. The radius of that 3d sphere at any given time is proportional to sqrt(1-(time)^2). That way I can see the 4th dimension.

Is it even possible for us to imagine a four dimensional world

It was very pleasing that you used eine kleine natchmusik, thank you

"skeptical?" *proceeds to repeat what was just said in a slightly more assertive way*

Ahhhh!!! What did you do to my brain! Another great vid thx

I'm not really smart when it comes to this stuff but we can see 3D models on a 2D monitor, so what if we somehow made a 3D monitor could we be able to depict 4D?

Thanks for making these videos Eugene. They're all really wonderful :)

Great stuff! MORE PLEASE! Don't forget to include the 120-cell, the 600-cell and the oh-so-beautiful 24-cell.

Большое и полезное дело Вы делаете, так держать. Я надеюсь Вы и дальше будете радовать нас такими наглядными видео. Жаль только что жанр, который вы избрали можно отнести к специальному и Вы вряд ли будете набирать большие количества просмотров. Но небольшая группка ценителей всегда будет Вам благодарна!

New top phrase when giving a presentation: "Skeptical...?"

this was the first time i wad able to understsnd 4d. great work

Been watching your videos for a while now. Keep up the great work!

There is a small part of myself that seems to be able to comprehend this while the rest of my brain is like, "wtf!".

My eyes almost broken when it transforms into 4D.

Please never stop making content, I absolutely love your videos.

After a whole week of research i finally understand how the 4d works thank yooooou!!!

This makes my head hurt, :(

we understand 3rd dimension in two dimension page why we cannot understand 4th dimension in 3rd dimension ?

Very good presentation...i got ur idea n some more info about 4D THANK U 🤗

It's like trying to work out the shape of a cube for a line: >>> 2D -> 4D 1) We are looking at 2D screen but we know the objects shown have depth and can imagine them in 3D (cube for example) 2) How do we figure out what the 4D shape looks like based on our 3D imagination? >>> 1D -> 3D 1) We are looking at 1D line but we know the line object has depth and can imagine them in 2D (square for example) 2) How do we figure out what the 3D shape looks like based on our 2D imagination?

waiting for 5d

The background music is the serenade by Wolfgang Amadeus Mozart I guess he likes to rock Amadeus!

This is too confusing and I can't sleep now. Thank you.

The coloured graphics really help in comprehending the sides of the tesseract which are essentially cubes.

なんか途中から、 ｱﾋｬﾋｬﾋｬﾋｬﾋｬﾋｬﾋｬﾋｬwwwwwwwwwwww ﾀﾉｼｲﾀﾉｼｲwwwwwwwwwwww ってなりません？分かる人いる？

my brain hurts

Beautiful!

It would be better if, similar to painting every side of a cube in a different color, you made the cells of the hypercube opaque and colored every cube differently. That would be a real mind-blower.

You're watching this in a flat two dimensional computer monitor IM WATCHING THIS IN A THREE DIMENSIONAL IPAD

i miss our puppy dog picture :3

My mind is melting right now because of this.

The way this 4D tesseract, or rather, hypercube rotates, definitely is angular giving its undulated movement. Take my word for it. It means that there are 6 cubes, in general, that make up for this 4D shape, okay. Yet since it then means that out of our 4 “other” cubes apart from our 2 “actual” cubes, those 4 are truly flipped on its “other” opposing side in its proportions, like, in height, width, including length, when being rotated as a whole, M’kay. Which causes not only the four cubes to look flatly distorted in its rotation, but the whole entirety field of perception of this uniformed shape, to feel all jumbled up and very brain-racking when continuously played on this 2D monitor, alright. The main point is that the 4th dimension is a representation of time itself, upheld and esteemed within by the science community, but those guys are referring that you how you cannot map out the concepts or blueprints of time into a simplistic shape to understand and furthermore study, do you follow. Because since we are simply three dimensional creatures with a possible or higher fourth dimensional mindset, our eyes though cannot keep track to comprehend its grasp. When talking about the 4th dimension without slowly analyzing it at first before saying you completely understand, those in the science community, will discredit, ridicule, mock, laugh, steal, blame, alter, foreclose, and withdraw you after seeing the brilliance in your work, but also the contingencies when releasing important information.

watching 4d shapes, on a 3d world, on a 2d screen, blowing our 1d mind. now what?

this is basically drugs for ur eyes cause its so trippy

I JUST CANT IMAGINE THIS 4D OBJECTTTT HOLY

Love the visualization! Especially how you show what a 3D rotation in a 2D plane looks like when the 2D plane is rotated - a powerful method to help give the right idea when a 4D object is shown as a 3D shadow. :-)

One idea, this image ( www.adorama.com/alc/wp-content/uploads/alc_images/article11780_1.jpg ) is made of various 2d photos of the same area at different angles, when you swap between those photos really fast, the photo TOTALLY looks like a 3d thing, but its just various 2d pictures. Could this same techinique be done with 4d to make us "see" 4d?

頭が爆発しそう

This just blew my mind a little.

I love your videos. So good!

"AAAAAAHHHHHHHHHH!!!!!! NOOOOOOOOOOOOOOOO!!!!!!!" -Me less than 1 minute in the video

Who else paused the video when they saw the 4d image

In each dimensions you can see in different angles, directions and side so in the fourth dimensions you could probably go walk on walls, see into object or even go though it the level change the physical barrier from the law of psychological from breaking it and unable to the do the action from the lower dimensions than the higher one which can change a whole light and is harder for us to imagine in our prospective of looking at it.

Keep it up!!! Your channel will have millions of subscribers very soon!

its still only 3d representation on a 2d screen lol u cant imagine the 4th dimension let alone show it on a screen!!!!!!

this doesnt make sense, becuase the plastic are going TROUGH the cube

I got recommended this and this has completely destroyed any perception of reality and dimensional brain cells that I didn’t even know that I had in my literal 2 braincells of a brain

*Now i want you to make a 3-D version of this 2-D video*

I can't process

if we can see 2d animations as 3d on a 2d screen then we SHOULD be able to see 3d holograms as 4d (if its presented like that) on a hologram (imagine it as a 3d screen). The hologram could be like Elon Musk's hologram model......thanks again Elon Musk!

The narrator is a god among everyone, shaming us for only seeing 3D.

can't wait to watch when I get the chance

Teacher: the test isn't that difficult to understand, The Test:

Hmm, interesting. That 4d cube looked just like the tesseract I was playing with yesterday!

This video just blows my mind

Thanks!!! it is clear now that I don't understand 4d

Meanwhile in a 4th dimensional alternate universe: You're watching this on a 3D computer monitor.

Thank you so much! :)

"You are watching this on a two dimensional computer monitor" People who watch on phones (including me) :Am I a joke to you?

at 1:35 it finally makes sense why the cubes in a tesseract are squashed looking.

Best "attempt" at explaining 4D objects so far! I say attempt, at least to me, because it is still hard for me to imagine :( I don't want to say it this way, but as 4th dimension is usually said to be time, does that mean 4D objects are...Animated complex shapes?

The cubes are inside of each other though, as we aren't able to see the fourth dimension where the cubes are separate. In a cube you can move one 2d part of it and it will still be 3d, but that section to a 2d person would look like a bigger line, so we can't see the changes of individual cubes in the fourth dimension, as it looks like it just got bigger and more weird.

me: why are so scared? my physics teacher: nothing in her mind:

my brain gonna explode because of this video

Kira's voice sounds really different in this video compared to the others. New microphone?

There s a question: ¿A 4d figure are several 3d bodies moving together by means of several edges connected to 3d bodies?

0:09 “You’re watching this on a flat 2D computer monitor.” iPad and iPhone Users: *ARE WE A JOKE TO YOU?*

wow your channel is full of amazing physics videos, i hope you get more subscribers you deserve it!

narrator: spending her life trying to explain to our 1d braens me: getting f▄▄▄▄ed up Armageddon: 7d

U are breaking my mind and brain

So this is still hard to grasp visually when the teseract is being rotated. Granted, if i were in a 2d universe and a cube was rotated in a 2d direction it would be hard to visualize as well. Is there a way to rotate a 4d object in 3d?

Better than school. these videos make want to learn more

Here I have a thought, maybe in the forth dimension 3D are just like points. If you use two points you end up with a line. Use two lines you end up with a plane. Use two planes you end up with a cube thing. Use two cube things you end up with a higher first degree dimension line . Use two of the higher first degree dimension lines you end up with a higher first dimension plane. Use two of those you end up with a higher first dimension cube....so on and so on...but most likely there is nothing like higher dimension lines planes and cubes either

I am already beginning to feel *it*

This is what I called chaos, my brain exploded and my eyes got into whirlwinds

Its almost as if after a certain degree in the rotation (360) of the square, theres an inversion that, that must happen inorder to start the CYCLE of SPIN again. Like a mobius strip. To visualize a little better, it would be as you need to walk from point A to point B but you only have 15 steps forward and 15 backward. It takes 30 steps to get from A to B so on the last step forward you spin and start walking 15 steps backward. The catch is if you technically walk 15 forward and 15 backwards you never actually moved from point A to B. You just spun 360 in a 4dim space

I once figured out how to imagine my surroundings in the fourth dimension and it hurt so much that I ended up sick for the first time in 3 years. I forgot immediately after stopping how to do it

Each corner has its OWN cube!!.. 👍 😍....... Thats good whisky!!

I’m gunna need a 1 hour loop of the 4d cube rotating so I can stare at it lol

For me rotation of hypercube makes perfect sense. Yes, my brain can't calculate lots of things here because it isn't powerful enough (3d brain is more powerful than 2d one just because it fits more neurons and connections, and so 4d brain is much better than 3d one; also humans automatically understand 2d picture as 3d world because evolution, and with 3d picture of 4d space you would have to imagine everything manually). But I think they had to make it so that stuff that is further from us in 4th depth would look smaller (like buildings far away, but here at any place, really). It would make much more sense.

This is like describing a smell to someone who has never had a nose lol

Teacher: The test isn't hard. The test:

If you think of our world and everything we see as in a 3d cube, surrounded by 3d cubes on top, bottom, and all sides, you’ll realize the 4th dimension is all around us and through us but we will never be able to perceive it until we die.

Incrível, são muitas dimensões E essas esferas representa a matéria escura, por isso quando um raio de luz viaja através do espaço ele se curva porque ele vem sofrendo a interferência eletromagnética da dilatação do espaço-tempo por causa de várias estrelas, planetas Luas e outros mais.