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From: ediacura
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  • yep, the electron surface is further away than that jumbo jet in the sky... p.s. your motion is of a linear mono-directional... this is inaccurate... The cubes transverse position without the sides touching, without line distance changing, and without any "movement" in any perceptibly established dimension. Your particular model is like moving a flashlight around a cube, and calling the shadow a cube... nice try though!

  • I think the rotation is "faked". What i actually see is animation created where the middle cube is pulled out and then its made to become original shape again. I dont think theres any rotation involved at all.

  • @Frozenkex No it's not faked. It's a theory of 4D -- this is an imaginary dimension, which may or may not exist, and the cube is made of different faces each time. This is a really complex rotation, in which it doesn't really distort at all. They think that the smaller cube expands and the bigger cube shrinks repeated until end of rotation.

  • @dochertyryan the smaller cube is equal to the bigger one

  • @Frozenkex As there is another dimesion (another spacial axis perpendicular) the smaller cube is not actually smaller - it is farther away. You can point in any direction around you... They get more directions to point than that!

    Back in our 3D World a Cube can look like a smaller square inside a big square. Small one is actually farther away. Spin them and that image just turns around. But Roll the Cube (die) forward. Smallside flattens. Turns insideout(turns over) becomes big square.

  • @Frozenkex Actually, there is a rotation, Picture this : Imagine a Square on a sheet of paper : How can you make a line crossing the center of the square without crossing any of his 4 edges ? weel, quite simple, A square is a 2D figure, if you pretend that a pin is a line, Just pin it in the center of the square ! you have crossed the center of the square without crossing its borders ! In fact, you can cross the denter of any figure without crssing edges by jumpng in higher Dimensions

  • athene

  • lol athene brought me here

  • ON youtube, usually, the 1st thumbed up comment is the cool one, the second comment is the smart one. Notice the votes difference ;)

  • If I saw a shadow of a cube on a piece of paper, I would be able to understand the form of the cube...

    So if I saw a shadow of a tesseract on a piece of space, maybe then I could aquire the slightest bit of understanidng of it...

  • How in the fuck...

  • *looks at one of the corners* wait whered it go?

  • @jimmyleg5 maybe lol

  • my head hurts now

  • Its a 3D shadow of the actual 4D object. Don't try to imagine what it looks like, that's impossible because we can't comprehend it

  • @LeNZian Actually we cant see anything but shadow of 4d object, so if one would exist thats the way we would have been seeing it.

  • Why can't we see the 4th dimension!! Damnittt i wanna knoww :(

  • This tesseract has been squashed. Twice.

  • mindfucked -.-

  • no matter how long i look at it, i just can't figure out how it moves.

  • i dont get it

  • Would watching this video side by side with the same video and moving at a rate of 850 kph (I'm actually flying cross-country tomorrow) allow me to comprehend a brief glimpse of this so called 4th dim?

  • i just had my depth perception fixed. i can see 3D for the first time in my life and its fucking crazy, its as mind fucking as most people suddenly seeing 4D. it took a bit to adjust and i was driving when it kicked in. had to stop the the car

  • @hughGwilly if you have no depth perception how can you tell how far street signals are away when driving? you couldn't get a license if you 'couldn't see in 3d'

  • @hughGwilly not true. i've have a depth perception disorder since i was born but if you look at a screen that plays a video of a guy crossing the road, you can tell if he is going to be hit by a car, right, but its 2D? also ive always known there was something wrong with my eyes but i never knew what it was cos when i went to the optometrist they cover one eye and say "read this" and then the same with the other. my problem is the eyes dont align and thats hard to test for.

  • WITCHCRAFT!

  • my brain is bleeding

  • @xcalle I know that feel, bro. I know that feel.

  • Comment removed

  • (2nd part) this being because the displacement between them is, in fact, time-based rather that space-based, and the witnessed difference would be in the time that the image is perceived but not in the physical existence of the object. the space that they exist in is actually the same space but can only be witnessed by viewing it at multiply times in the same instant of existence. can somebody who actually learned about this sort of thing tell me if i'm an idiot?

  • (2nd part) this being because the displacement between them is, in fact, time-based rather that space-based, and the witnessed difference would be in the time that the image is perceived but not in the physical existence of the object. the space that they exist in is actually the same space but can only be witnessed by viewing it at multiply times in the same instant of existence. can somebody who actually learned about this sort of thing tell me if i'm an idiot?

  • this being because the displacement between them is, in fact, time-based rather that space-based, and the witnessed difference would be in the time that the image is perceived but not in the physical existence of the object. the space that they exist in is actually the same space but can only be witnessed by viewing it at multiply times in the same instant of existence. can somebody who actually learned about this sort of thing tell me if i'm an idiot?

  • this being because the displacement between them is, in fact, time-based rather that space-based, and the witnessed difference would be in the time that the image is perceived but not in the physical existence of the object. the space that they exist in is actually the same space but can only be witnessed by viewing it at multiply times in the same instant of existence. can somebody who actually learned about this sort of thing tell me if i'm an idiot?

  • I'm hoping that at least a few of the people watching this are real learned physicists and can help me with this. correct me if i'm wrong but if viewed (or i guess more accurately, experienced) in a 4th dimension, the outer cuber we see in 3 dimensions and the inner cube we see would be of equal dimension?

  • @flamingbalsac1 All 8 cubes of a tesseract are on the outside, and meet at right angles. The cubes merely make up the surface. Let's wrap our minds around that one...

  • isnt this actually the shadow of a rotating tesseract

  • @zubestr Been watching Flatland?

  • @zubestr Technically you are looking at the two-dimensional shadow of a three-dimensional shadow of a four-dimensional tesseract.

  • If you want to try and see it as "4d" (for arguments sake) try just focusing on one corner (or vector) throughout the video and it kinda helps you see..

  • wait a minute, so this is fuckin just normally rotating? Y THE FUCK does it seem to go inside out over and over again? wtf its just impossible to imagine a figure that would seem like this if u rotate it.......

  • @koerund dude, its coz its in a 4th dimension, as we live in (for arguments sake) a 3 dimentional world, we cant possible imagine a 4th dimension, though the computers we build can PREDICT what they would look like, but untill we get some higher understanding.. its just gunna look werid.... and yeah it is just "normally" rotating though in 4 dimensions.. takes a while to get your head around... think about it for a day or 100 and it gets a bit clearer....

  • @hellgates142 eh what r u talkin about? ur just saying what i already know. i said we cant even understand this, which is the same u just said. (i have more than 1 comment here...) so dont try to look so smart smartass, like you can grasp this.

  • If we can have a 3rd dimension, why not a 4th dimension? A 4th dimension dervies its rules and concepts from the same rules and concepts as the 3rd dimension. So Its just a cube within a cube or any shape within its self.

  • my brain is about to pop out

  • AAHHHH!! ITS IMPOSSIBLE TO IMAGINE!!!!!!!!

  • So why has this not been applied to any games yet? I think it could a simulate damage on characters pretty well on something like fallout say if part of frame was damaged by the blunt force of a pipe of sledge and part of the brain matter splatters on the wall ...rather then just having blood painted on.

  • Wait, is this kind of like a paradox?

    You know, with the infinite staircase and such?

  • @Billythachikk

    no not really, just homo sapiens trying to imagine an extra dimension besides up, down, left, right and everything in between.

    which is quite impossible since we can never see a 4d object but cross sections of it.

    Like how that guy in the top comment said in a brilliant manner.

    it is like trying to imagine a new color.

  • @Forman6 > After writing my comment on this video I went and watched a video with Carl Sagan explaining what you're just explaining. I think this is one of the most interesting subjects there are in our world. I still don't quite understand (because that would, like you say be like imagining a new colour) but now I understand WHY I don't understand.

  • Just think- in 10 or so years mathmeticians and scientists may hav figured these out and we might all have one on our shelf!

  • @thepuzzler1 4-dimensional objects cannot exist in our 3-dimensional space

  • @GreadyShady yet xO

  • @thepuzzler1 what you are speaking is fiction

  • @GreadyShady well, if you think about it, 2d objects cannot exist in the 3rd dimension either. Obviously it is easier to mentally omit a dimension than add one, but to me it shows that it is possible, at least to comprehend it.

  • @thepuzzler1 look at the klein bottle its the closest we can get

  • it is impossible to accurately display a tesseract on a two-dimensional screen just as it is impossible to imagine a cube by displaying it in the 1st dimension.

  • brb im gonna smoke some pot

  • MIND FUCKERY!!

  • I see trippy 3d objects floating through eachother...

  • A CUBE WITHIN A CUBE

    CUBECEPTION

  • chuck norris was send from the 4th dimention

  • @RoDziLLA39 If the W axis makes this cube split open and stretch to inside-out, lets hope he never does...That would be messy...

  • @DavyDeckwalker its sad how i didnt recognize any of the words you said

  • @RoDziLLA39 Chuck Norris is from the 4th dimension. This cube is from the fourth dimension. The fourth dimension has a W axis (I think), as opposed to our 3rd dimensional XYZ axes. When this cube rotates on its W axis, it turns inside out. If Chuck Norris rotated on HIS W axis, and turned inside out, that could be messy.

  • @DavyDeckwalker The inside will be the same as the outside MACHO AND BEARDED !! :D

  • A cube within a cube?

    CUBECEPTION

  • The shadow doesn't really rotate, does it?

  • @Thundercatz0r it does, it requires high attention and spatial intelligence to be able to introduce rotative orientation, although the illumination element present in this animation makes it even harder to shift vectorial perception, try watching an animation lacking depth references

  • @elchapetas If I were a 4th dimensional being, I would see the whole inside of the shadow, because it'd be 3d. So does it still move in the 4th dimension? :o

  • @Thundercatz0r contrary to public opinion, shadows are an absolute 3D illumination phenomenon, since the atomic structure the air is made of, offers a low, lightwave, deflective property compared with any other common surface (although it does still remain in high enough concentration, coupled with water particles, to provide a considerable degree of deflection), we can only percieve with clarity, the different intensities of illumination present on said surfaces and the varying tonalities.

  • @Thundercatz0r my last answer was only complementary to the intended purpose of your question, let me proceed

    .

    "I would see the whole inside of the shadow, because it'd be 3d"

    Plain and simple, a room full of smoke would provide a more environmental (3D) "shadow", instead of superficial, your vision would then be greatly restricted.

    "So does it still move in the 4th dimension?"

    Well if light is able move through the "W" vector, then yes, else, the 4D dimension would be completely obscure.

  • @Thundercatz0r If youre wondering what a vector is, its basically the orientation that "directional sense" is able to adopt, to exemplify this, do you remember those graphs you where made to use during geography class? those are an example of "2 vectorial constants" or more simple, 2D, computer generated simulations are capable of providing a 3D environment, vouching, evidently, of 3 vectors (namely, height, length and depth), the typical unknwons the constant vectors are represented are X, Y, Z

  • @elchapetas Sorry, but you didn't really explain anything :D

  • @Thundercatz0r maybe you didnt understand i even threw a dimension for dummies example

  • @elchapetas I understand what a dimension is.

  • @Thundercatz0r I meant in the mathematically vectorial sense, as I said X=height Y=length Z=depth and W=is that unknwon vector of orientation, completely speculative or otherwise real but ungraspable for the present human mind, you can even throw in the "V" vector and we'll have 5 dimensions and so on.

  • @elchapetas I understand that. What I'm asking is - does the shadow of a tessaract move in the 4th dimension? I am aware that in the 4th dimension, beings can see the inside of 3 dimensional shadows.

  • @Thundercatz0r I think I already answered that, I do not see a reason that contradicts such premise, shadow is simply the lack of light, it does occupy a space in the universe, unless light is absolutely restricted to the 3D vectorial reality

  • @Thundercatz0r and the 4th orientational vector is represented with W, and of course, we are rather confused with polivectorial simulations, they simply do not follow our 3 vectorial, coordinative logic, the locations wich occupy a number inside the W vector (be it negative or positive) are basically following an orientation our perception of depth isnt able integrate and space in a logical spatial-locative sense.

  • how can i get to the 4th dimension?

  • that what the shadow of a 4d object would look like. like when we see a 3d object the shadow looks 2d 

  • This makes absolutely no fucking sense whatsoever.

    But it looks cool.

  • @1inmotion1 It does.

    Look at Carl Sagan: 3D to 4D Shift

  • its not rotating. its moving along its 4th dimension.

  • Fantastic video

  • I sorry, but what makes this object more special than a regular 3d cube? If you need to add the time element to apreciate it being 4d - rotating it in this case - wouldnt you turn a 3d cube into a 4d object by just adding the time element and rotating it too? I can't see this object being more than a complicated 3d object which moves through time.

    I know theres this 'shadow of a 4d object' thing but that argument just tells that ANY 4d object is just a 3d object 'moving' throug time.

  • @diegocrusius which just goes to show how you've got absolutely no concept of what a fourth spatial dimention is.

    the rotation is just there so you can have a better concept of it. after all, its 4 dimentions converted into a 2D projetion on a screen. the rotation helps to get a notion of a 3D shadow of the 4D hypercube instead of just 2D as a still image on a screen would allow.

  • @GraveUypo Semi-agreed. I've read about it, watched some vids etc, and I know things like "this is like a 3d shadow of a 4d object" and some other things. The real thing is I can 'memorize' the idea but I cant really understand it. I can't see a 4d object (or a 3d shadow of a 4d object). All I can see is a interesting 3d shape moving on a loop.

    what is the 4th dimension I cant see? Is there any good read you recommend?

  • @diegocrusius don't worry, no matter how much effort you put into it, this is all you'll ever be able to visualize or imagine. you can *understand* it tho.

    the projection of a projection you're saying is not exactly what i meant. i just meant if you add time into the equation, its easier to visualize what it looks like in 3D. like its impossible to tell what a shape of a really complex wireframe is just from it's shadow if its not moving at all. this harder to explain than it looks... damnit.

  • @GraveUypo ...but it really helped a bit more. I'll put some extra effort to level my brain up from 'memorize it' to 'undertand it'. Thank you for your time and patience.

  • @GraveUypo and yes this whole "2d projection of a 3d shadow of a 4d object" thing I get everywhere...

  • MY BRAIN BLOWED UP!

  • Comment removed

  • This makes me think of one of my favorite excuses for loosing my math homework:

    I locked it in my trunk, but a 4-dimensional dog god inside and ate it.

  • I can't wait to get high and watch this shit.

  • Chuck Norris helppppppppppppppppppppppppppp­ppp!!!!!!!!!!!!!

  • ahhh! is it shape shifting? or is it rotating? to what side is it rotating to? :o im confused

  • @tomershalom You are seeing a square as closely as possible in 3d as it would look like in 4d. The thing is with a square viewed in 4 dimensions you can see everything at once. Its not quite shape shifting either, but it is being rotated :D

  • I imagine the extra dimension as a colour gradient from blue to red showing the position at which a point of an object in 3d space is immersed in the 4th dimension relative to other points.

    Thats how I get dowwwwn.

  • imagine an fourth dimension is like imagine a new color. Impossible.

  • @paalbananas thanks for that, now instead of just trying to imagine the hypercube i'll now try imagine a new color.

    have a nice manual breathing

  • @paalbananas That is not true. There are some colors we cant see, like infared. There is also other dimensions we cant see. The fourth for example. The fourth dimension is actually time, if you seach "dimension" on wikipedia.

  • @paalbananas

    You will only find things to be impossible once you make specifications for them. Sure, we cannot imagine a color or a 4d object yet. Yet, but there is always a possibility for it to be done in the future if you dont follow a strict set of rules. For instance, we cannot see any other colors only because of the restrictions demanded by our eyes. If we ever evolve into a more suitable species, we may be able to see more colors, as well as another dimension. Possibly.

  • @paalbananas

    To follow up my last comment:

    It may be impossible as we speak, but you never know what the future holds; things may become less impossible.

  • @chadd990 you know what? your absolutely right :)

  • @paalbananas This is the shadow of tesseract.

  • @paalbananas I WANA FUCKING SEE IN 4D *cry*

  • @whoopdeedoodude Thats what drugs are for

  • @paalbananas Damn now i'm trying to imagine a new color

  • @TheLincolnWorld have a happy manual breathing, too! :)

  • @paalbananas It is sort of possible. Movies were already made to be in 4th dimension

  • @NytaSmileeex3 yeah sure movies in 4d, dude we cant get this simple concept of rotating 4d figures, were just started to make 3d movies dont be retarded ( ik that there tryin or makin but its way notthe same at is shown here)

  • @paalbananas not impossible, just difficult

  • thats the shadow of a rotating tesseract our lame deminsion cant see a reall one:(

  • @AHughesWWT

    well everything is two dementional on your monitor anyway, regardless if it's 2,3,4,5 dementions

  • @AHughesWWT Unfortunately =( However, we know that if it takes two dots to make a line, and 4 lines to make a square, and 6 squares to make a cube, there are 8 cubes in a tesseract... no we just need to figure out the new direction to place them in =P

  • will it work if i make a hypercube made of wood? will it still look like this?

  • I have a real physical one of these in my house. Is that normal?

  • @MustardLung No way - Video evidence please

  • @videouser654 was a joke.

  • @MustardLung :)

  • I'm getting one of these for my office! xD Or I wish I was!

  • until i got high, until i got hiiiiiighh

    bada dup bup bup bup.....

  • what you are seeing is the 2-d projection of the 3-d shadow of a 4th dimensional hypercube rotating about the w-axis. It looks like a cube inside of a cube, and you would be mostly right. A line is formed by two arbitrary points. A square is formed by two parallel lines attached at the points. A cube is formed by two parallel squares attached at the points. A hypercube is two "parallel" subes attached at the points. The cubes are parallel in the 4th dimensions giving the impression of inside-out

  • @HotSauce147  Uuuuuuuuuuuuuum. Yea.

  • @HotSauce147 is the w axis the 4th direction?

  • @HotSauce147

    I know it's been 7 months since you posted that, but you seem to know what you are talking about. Do you know how I could simulate rotation of the w axis in a 3d program (blender) so it will act like the one in the video? I made a tesseract and didn't realize until you said it that it rotates on the w axis. I feel stupid lol

  • @inverseactuality Right, i assume you didn't make this video then? This video depicts w-axis rotation pretty well. Once again, it just appears to be turning inside-out endlessly. I wouldn't know how to do this from a programming point of view. As a physics major, I just know what it represents :/. Look up 4-Dimensional rotation on youtube and watch the first video at the top. The creator of that video rotates a horse about the w-axis, ask him lol.

  • I only see 3 dimensions. There is one cube inside the other and the whole thing loops.

  • @Kadda67

    I dont think its actually possible to imagine the 4th dimension in your head, only to understand the concept. It is only 3 dimensions in the video but its showing the 4d object as it passes through the 3d plane. If you did manage to see the 4th dimension, get yourself a phd out of it.

  • man i was looking for the BAND Tesseract.... But now i know why the Math metal band calls themselves Tesseract.... hmm.... learn something new everyday.

  • ahh! a 2d flying 4d shapeshifter!

  • i got brain damage from watching this 

  • It's really hard to imagine that it really doesn't change its shape... confusing

  • took about 18 seconds to fully rotate

  • This is clearly the cube-version of masturbation

  • yea

  • As the 4 Sphere rotates that encroaching green volume, that started as a coloring of the very surface of an entire hemisphere advances 'into the interior' (which to us 4critters does not seem interior as such). This is like with the 3D sphere. The green goes deeper, the curve gets shallower. Halfway rotated the 4eye sees a round sphere throughout, one half green on the left, meeting at a strait circle, the right hand side blue. Then the green side buldges, and The whole thing turns green.

  • A Circle spins about a stationary point, Sphere turns around its axis,an unmoving line, and a 4Sphere rotates about a stationary circle. We paint the 4Hemisphrere facing us, throughout the surface, 4blue - and the other side 4green. Rotating this half blue half green object our 4eye's 3D retina sees a "round sphere" that through-out is Blue. To start it is an all blue "sphere", we see. Then, green appears on the very merest surface of one entire hemisphere - say to the left.

  • BLUE moves in Rather. What this appears as, is that the invasive blue is a perfect trace of a half circle. That stays there. As the Blue advances and the Blue crescent gets larger area it still ends at the top and bottom point of course and the crescent is a Shalower Curve. Halfway this curve is a strait line from the top point to botom. Now we see a circle with one side Blue and other Green. Then the blue blunges out. Once it is ALL Blue We are looking at the other hemisphrere, the other side.

  • Now consider the fourth dimensional sphere with the close side facing our eye colored blue and the far side green. Lets immediately drop down dimentions. A turning circle viewed edge-on spins we see a "line" its blue then one tip is green. The gree advances. Its half green half blue. Finally its all green. Then blue starts at the tip. Rotating sphere: we see a "green circle", then on a cresent blue starts to be seen. This is on the curved edge from the top around to the bottom. Green moves in.

  • Have our tesseract and 4Tetrahedron be solid and not see-thru. The outer surface of these are 3D surfaces. The 4Tetra has five tetrahedonal sides. If we reach toward with our 4finger to touch we can meet these object at any 3D position within i.e. on one of its sides. Surface means 3D now. We can't see all the sides. And the sides aren't actually flat - If we take just one "tetrahedron" our eye 4D right above its center point it may be orange throughout - turn it over - the other side is blue..

  • With a equilateral triangle the 3 vertexes are the same distance from each other. 3 things, with each 2 being seperate the same way as any other 2. Next 4 - Works the same here. You have to make a pyramid, a tetrahedon. This involves putting the 4th one in the very middle and then moving it Out away a new way. Now there are 4 different groups of 3 and each one is a seperate triangle. Now 5. Putting a point in the center of a this tetrahedron shows that our universe is direction deficient.

  • man 4d rocks!!!!!!!!!, im bored of 3d LETS UPGRADE

  • 4D is awesome ;)

  • According to Wikipedia, to understand 4th dimension, you can think that a 2 dimensional shape (polygon) is made of 1 dimensional shapes (lines), a 3 dimensional shape (polyhedra) is made of 2 dimensional shapes. Logically, a 4 dimensional shape is made of 3 dimensional shapes...

    That's how I understood it :)

  • Although fourth dimension world or something doesn't exist, but we use tesseract as how it could be higher dimensions visual, so basicaly it's just studies or used for maths only.

  • @The3091996 Well, in theory, it does exist.

  • If this is the Shadow, i think the Object is just a thing, that rotates and changes its size and Shape in between

    As you can see, the inner Cube can only get outside, because this thing changes its shape and size all the time. So thats no magic.

    Reminds me on a game that i played when i was a little child, with a woollen string, that you put on your Hands and change its size and shape without releasing it from your Hands. ^^

  • @Usul75 The shadow changes shape and size. The object does not.

  • @FluffyBunniesOnFire

    Oo How should i imagine this? If i see a "real" Tesseract, the Object dont move but its shadow is rotating? Ok, this would be very strange. ^^

  • @Usul75 I'm saying that the tesseract is rotating, but not changing shape.

  • holy shiiit im trying to understand it but i cant. what the fuck would a 4d object look like if this is its shadow?

  • @MacDaddyPooty there's no way we can tell, since we can't see or imagine in four dimensions. take the three dimensions you know, they all have right angles to each other, right? now, imagine a fourth direction that's neither up/down, nor left/right nor forward/back (x, y and z-axis), but a DIFFERENT direction, that's somehow also at a right angle to our know three dimensions. can't imagine how that might look? join the club, we're 8 billion strong! no t-shirts though =/

  • @beijosmecome you made my brain explode. and i think you meant 6.8 billion strong.

  • Comment removed

  • @shakinbake1234 Yes they are.

  • dont get it at all. 2d and 3d are so understandable and easy. just like lego blocks. but this '4d'..is confusing! its moving and stretching? Wtf is goin on?? Oh well..fuck this, back to economics.

  • @WhyMe160 me to :P i think w understand 1 2 and 3 because we exist in them, we dont live in the 4th dimenson

  • @fredsacount That's right, of course if anything lives in 2d world he says that's insane for 3d world exist or something or what it is this confusing dimension...

  • think about this, what would the shadow of a cube look like if you rotated it..?

    this is what the shadow of a cube in 4D would look like if you rotated it..

    even so.. the shadow of a 4d object, in 3d, on 2d..

  • It looks like this thing is fucking itself.

  • To understand the fourth dimension, watch the "fourth spatial dimension101" video by tesseroid. It's very easy to understand

  • why do all you assholes have to point that it is a shadow or its not possible just shut up and stop trying to act like you know something. science is about having an open mind not being a jackass on youtube that thinks he knows it all.

  • @rwlnd1987

    Chill, man. When people claim that it's a shadow, tell them about the allegory of the cave, Plato's idea of the world of forms. We see a person, but what in fact makes it a person? How we see something, and call it that very thing?

  • Why does this turn me on?

  • @weirdscience81 because you are a nerd.

  • this figure is perfectly possible in 3d

  • @videodaniel8945

    The figure being shown is only a 3D representation, or "shadow", of a tesseract. It is comparable to a 2D drawing of a cube. Literally, an illustration of a cube is just a polygon with intersecting line segments inside it, but we understand that it's a 2D model of a 3D object. The same applies here: it's a 3D model of a 4D object. insertoriginaluser is correct.