What Exactly is a Tesseract? (Hint: Not a Superhero Stone)
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- Опубліковано 27 тра 2024
- A tesseract is a 4D cube, i.e. a cube that exists in 4 dimensions. Although fans of the Marvel universe and superheroes may associate tesseract with the glowing blue box that houses the Space stone, a tesseract is a real geometrical concept that exists in four dimensions.
Here is a simple way to conceptualize dimensions: a square is a 2D shape, so each of its corners has 2 lines coming off it at 90 degrees to each other. A cube is three-dimensional, so each of its corners has 3 lines coming off it. Similarly, a tesseract is a 4D shape, so every corner has 4 lines coming off it.
Mathematically speaking, a tesseract is a perfectly accurate and plausible shape, as are all shapes in higher dimensions, such as 5D and 6D. Just as a cube can be unfolded into 6 squares in 2D space, a tesseract can be unfolded into 8 cubes in 3D space.
#science #animation #tesseract
References:
sites.pitt.edu/~jdnorton/teac...
www.math.harvard.edu:80/archiv...
www.geom.uiuc.edu/docs/outreac...
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The idea of replacing each square face of a cube, with a cube, is the single most helpful idea I've encountered for visualizing and conceptualizing in 4D. I can't recall ever hearing it before either, despite it being so intuitive. Interesting, and many thanks!! You've literally changed the way I perceive 3d representations of 4d things! 😁👍
Plant.
Agreed
Are all the cubes of the tesseract over lapping eachother within eachother?
I have, i think a very plausible question. if 4 lines on the side = a tesseract, what if there were 200 corner sides, or enough to basically merge all of the tesseract's sticks that fill up the whole tesseract? does this turn it back into a cube and it loops, or does it create a predictable, blob of a cube?
Intuitive for YOU, maybe. 🤨 SMH I am a brilliant speller, and an excellent writer; I am an aspiring novelist.
Maths? Not so much.
Out of all of the scientific videos I have watched trying to explain 4D, this is literally the FIRST and ONLY video that has finally helped me grasp the concept accurately🙌🏽 I seriously cannot thank you enough. Thank you for all of the fantastic educational content🙏🏽I’ve been a subscriber for a while😉
Hi Maksim, we are so glad that this video was helpful for you. Your feedback certainly motivates us to do better.
I'm currently at the point of trying to get it. I feel like it's not a matter of any single good enough video, but rather you watching a huge enough bunch of videos to get enough perspectives to ponder to finally grasp it lol.
@@Kotifilosofi quality over quantity for me, every time
Practice does not necessarily make perfect, it only makes permanent.
So respectfully, I’d have to disagree in this case. Everyone’s experience is different however. Above all, hope you’re always learning something new🙏🏽
Cheers mate!
@@maksimatic well, we're all different in how we're learning. So maybe there's nothing to disagree with 😄 have a good day!
@@Scienceabc thank you
This is one of 3 videos I've seen that actually explains it good enough so that we can understand, it genuinely feels like my brain is trying to block out any attempt at understanding the Tesseract
I have a simple question - in which direction do you run the fourth coordinate axis in a 4-dimensional world? Because we know exactly 3 directions in a 3 dimensional world.
So in which (and why) does the 4th axis in the 4 dimensional go?
What makes you think that it is in this one and not in another?
Thank you for your attention.
what we see as a cube within a cube of cubes is technically the SHADOW of the 4d object. Just like a shadow of a 3d cube on a 2d surface is a distorted square of squares.
Technically it's a Schlegel diagram, which is a projection but not exactly a shadow.
Animation getting better and better! Keep it up!
Still watching on a 2D screen.
I have a simple question - in which direction do you run the fourth coordinate axis in a 4-dimensional world? Because we know exactly 3 directions in a 3 dimensional world.
So in which (and why) does the 4th axis in the 4 dimensional go?
What makes you think that it is in this one and not in another?
Thank you for your attention.
I came across your channel from the Fibonacci sequence and I love your videos. They are very easy to understand and I really appreciate it.
Im just 13 and I am interested in these different types of concepts.
Awesome, thank you!
I have never done it nor heard, seen, or read about it (by it I meant my coming idea, lol) before, but it seems to me that the best idea to demonstrate ( or at least explain) a tesseract is to create a cube either from glass or thin metal without covering the six sides, hang the cube suspended using invisible fishing strings, and shed light from eight sources: four exactly on the upper four corners and four exactly on the middle of the upper sides of the cube. sit a table about the depth of the cube under it and put a clean and clear white sheet on the table and underneath the cube. The reflection of the cube on the surface of the table will be the closest to a tesseract shape.
Plant.
I have a simple question - in which direction do you run the fourth coordinate axis in a 4-dimensional world? Because we know exactly 3 directions in a 3 dimensional world.
So in which (and why) does the 4th axis in the 4 dimensional go?
What makes you think that it is in this one and not in another?
Thank you for your attention.
Excellent video. Neil Armstrong was such a good astronaut in part because he was an engineer, so in a way he was a designer and understood the construction of equipment, rockets, whatever. Same thing is true with understanding the Tesseract, If you draw one yourself, or even better, have access to virtual reality and build one in there, we’ll have a more fundamental understanding of what the tesseract is. Thanks for the vid. 😅. In a lot of ways, time and essentially space-time share a lot in common with the Tesseract - multiples of 3 space overlapped. One of my biggest wishes in life is for the theory of gravity to get solved during my lifetime. If the fourth spatial dimension is real, the theory of gravity will give us the answer. 🎉
I'm so glad I looked this video up I've never really understood the real concept of dimensions but I really understand it all now wow....I love to learn about new things....
cant wait for ur next upload love ur explanations
Most helpful visualisation that I wanted, thank you Sir.
I have a simple question - in which direction do you run the fourth coordinate axis in a 4-dimensional world? Because we know exactly 3 directions in a 3 dimensional world.
So in which (and why) does the 4th axis in the 4 dimensional go?
What makes you think that it is in this one and not in another?
Thank you for your attention.
There's a reason Saturn is represented by a cube. The reason you see cubes all over the place in company emblems and logos.
I always enjoy your videos!
Glad you like them!
your content is far better than any other than others
you are next next level
best educational chanal i have ever seen
love from india
A 4-dimensional sphere would be cool
The theory actually exists and it’s called a hypersphere 🤯
Now I actually see the tesseract. Thanks for an amazing video.
Thanks for watching!
The first time I heard the concept, I was 8. It was in, A Wrinkle In Time, the novel by, Madeline L'ingle. Thanks for the great video!
You're so welcome!
tht kick was personal💀💀☠☠
You got a new subscriber🙌❤️
Yay! Thank you!
0:34 Peter's cry had me dying 🤣
A point can be seen as a straight line if it moves in the speed of light. (Or faster than light.)
Keep uploading amazing stuff❤
Thank you, We will!
Alright, I built my own tesseract out of cubes, and now can see up to six dimensions 😳
that's what i needed to know it's each face of the cube a new cube
Now I know how to get the Tesseract and charge my gautlet
Yes, all you need to do is head to the fourth dimension :)
Nicely explained...
Glad you liked it
That's what scientists are finding more dimensions in the space i.e larger dimensions
And some dimensions in the atoms i.e smaller dimensions
Let's see what our future withholds 👍🏼
The possibilities that 4d and higher dimensions hold are limitless!
@@Scienceabc that's the real reason that we are not able to find out . But surely we will 👍🏼
Amen to that!
We don't say Thanks we say Lots of Love from kerala India
Thanks for the support!
I remembered most of this from school, but what I can't remember is if a three dimensional being can interact with a four dimensional object, like a hypercube, directly.
The tesseract is a 4D entity - that's why it's difficult to visualize it in 3 dimensions
@@Scienceabc We would only be able to see half of it at any given time, being that three dimensional beings can only perceive things in two dimensions. Now, being able to visualize something and being able to interact with it are two different things. Another thing we have not taken into account is The Observer Affect, and indeterminacy principle.
@@Scienceabc Just seen Interstellar
From what I get, we do know 3D
Basic, but what was interesting, is that they add to that, Time and Gravity
Basically 4th and 5th
Always thought as the Time being it’s own dimension, not particularly linear
(But that goes a bit against the Relativity, as the Theory says that Time is bound to space…)
Though Gravity can influence Time
@@bastienhouse5202My guess is that the dimension in which 3d space itself curves is the 4th dimension of space. Time is connected to it but isn't itself a dimension if space... time may be one dimensional (a line).
If that's correct, a physical tesseract would involve 3d space being bent at right angles. The gravitational effects would make those of a black hole seem petty. It's probably physically impossible.
Can you please explain the cosmic treadmill or the anti life equation
BTW loved this video
Thanks for the suggestions. We will surely try to cover them in our future videos.
The Cosmic Treadmill is a treadmill that's powered by a Motherbox, which is, I guess you can say DC's version of a Hypercube. It allows for speedsters to travel through time with more precision.
@@johnlemus7921 Bro
Most of it went above my head
4 D
Front Behind
Left Right
Up Down
In Out
I have a simple question - in which direction do you run the fourth coordinate axis in a 4-dimensional world? Because we know exactly 3 directions in a 3 dimensional world.
So in which (and why) does the 4th axis in the 4 dimensional go?
What makes you think that it is in this one and not in another?
Thank you for your attention.
The fourth dimension is beyond our ability to visualize as it exists purely as a theoretical concept. Humans are limited to perceiving three dimensions, and that's why the representation of a Tesseract in diagrams is a simplified three-dimensional version that aids in easier visualization.
@@Scienceabc It is worth emphasizing that we are dealing with fairy tales. Right at the very beginning.
Greetings
NOT JUST MARVEL. WRINKLE IN TIME TOO!
i went thorough a huge period of buble.
To my understanding we already live in a 4 dimensional universe. 1.) Height 2.) Length 3.) Width 4.) We move through Time & Space. Tesseracts have/share the same things in common.
Yes, we do, but it is better said that we live in 3 spacial and 1 temporal dimension. This is talking about 4 spacial dimensions. (temporal dimensions are cool but less relevant) Perhaps if you somehow could view time as a spacial dimension, moving and viewing every epochs and hour of history at once, you could create or see a tesseract or some similar shape, but I am no expert.
But all dimensions have a time component. Even the 4th dimension will have time. So how can time itself be a dimension?
Dimensions are grouped by the unit of measurement that we use to define them.
If we had a 4D object, we could measure it with a completely normal ruler. Just like all the other physical dimensions.
You can't do that with time, which is why it's in a different category.
Why is spiderman being stomped in the chest so funny at the start😂
It was originally called cosmic cube
Just you can imagine something doesn't mean it's real
We each have our own reality.
Sounds to me like what is happening is a tesseract is what a cube looks like moving through space and can move in 8 possible directions. Idk tho. 😂
Dear.. I have a clue.
We as human can see and perceive the 3D world clearly through our phone's 2D screen. However, we can't visualize the 4D simulation through it. I think the best way to explain 4D concept is through using 3D screen like Hologram for example..
are black holes 5d or 6 d
From my previous understanding, this video seems to be close with no cigar. Replace the word "tesseract" with "hypercube" every time it is said in this video. A four dimensional object, with all internal angles being equivalent to 90 degrees is a hypercube. The three dimensional object that you get by unfolding the hypercube is a tesseract. A tesseract is 100% fathomable by human beings.
The tesseract is just a way to think .
A very useful way to think.
I’m only here because my imagination is like “tv” I can see vividly what ever I want so when I heard this concept it’s 2am and I’m like why not lol. Randomly needed to download a calculator app on iPad and do some math and now yup I can imagine in 4d. Lol it’s like “Mirror world” in my head now.
So yes. It is possible. But at the same time it is an infinite smear to us. Which brings out the building blocks of time.
This is by far the weirdest Cyanide & Happyness episode I have ever seen and it's really saying something.
So.. is that it? What is the 4th dimension? Other than "we can't understand it"
It's not a thing. It's just the abstract idea of a space that includes a direction that's perpendicular to a three dimensional space.
A 2d space includes a direction that's perpendicular to a 1d space (a line). A 3d space extends that 2d space into another perpendicular direction (square -> cube). A 4d space extends perpendicular to a 3d space... which we can understand conceptually but can't visualize.
Awesome.. 😁👍
Thank you! Cheers!
Me sees half of the title: What a stupid question that is. Everyone knows that
Also me after seeing the full title: 😶
I like the movie version ,about this subject, better. Watch A Wrinkle In Time, if you haven't seen it. I just like the idea of univesal waves in spatial surroundings- the vibrations of our existence. I just think it's cool.
Check out the book - it's even better!
Can't stop myself from coming and posting a '💝'.
Amazing content
Why does paper only have 2 directions and not infinite diagonal directions.
Wooow
Nice explanation 4D 😍
Thanks a lot 😊. Glad you liked it.
Only dimension that we need is heaven
A tesseract is the 4th dimension.
W, X, Y and Z, is 4D
No audio... ?
1:40. I understand the concept of replacing each square with a cube but that representation doesn’t seam right to me. You don’t have cubes at that point and it looks like you have a bunch of incomplete pyramids surrounding the cube. I need a real representation with a real object like a rectangular chair leg or something. Makes no sense to me because those obviously aren’t cubes. And 4d just looks like a 3D 3D’ed. which also doesn’t make much sense because it’s not even a new dimension it’s just double 3D. Whenever you went to a new dimension with the others it was something completely inconceivable from the dimension you are at and what you could do with it. With 1D all you can do is make a bunch of lines going the same direction and can never create anything out of it. Which why to me it doesn’t make sense that you can just connect a bunch of 3D objects and call it a new dimensional object. Idk I think the tesseract is wrong.
0:35 pretty sure that crying sound was peter griffin from family guy
Math doesn’t always check out this simply is not physible
A hyper cube
4D cube
This video seriously hurt my brain :(
Is it really 8 cubes though, or an infinity of cubes?
One could argue that a line contains an infinity of dots.
A square contains an infinity of lines in both direction.
A cube contains an infinity of squares in all 3 directions.
so wouldn't a 4D cube contain an infinity of cubes in all 4 directions?
Good question.
The "infinity" you're talking about is only a reference to the length and size of an object.
The shape, number of sides and number of angles it can have, is determined entirely by the number of dimensions.
Wait, what? You say "replace each face with a cube" and then you show a cube with each face beveled in. This doesn't mean each face is a cube (which has 6 sides), it means each face now has 5 sides. 4 edge faces and one in the center. Where's the 6th side? You also say each corner has 4 lines, but the corners connected to the center face only has 3 lines. I'm really confused.
I've always hated that picture. It's meant to represent a 4d object PASSING THROUGH our three dimensions. Not one that's just sitting there doing nothing.
It's a lot easier to conceptualize when you see it unfolded.
Did you ever make a paper cube? Remember how it's made of six squares in a cross shape? Then you fold it along the lines, and it will be a cube shaped?
A tesseract unfolds in much the same way. Just replace those squares with cubes. Then add another cube above the middle one, and another below it.
We can represent it this way because, just like a 3D cube can unfold into a set of 2D squares, a 4D shape can be unfolded into a set of 3D shapes.
so if ppl are 3d are our thoughts in 4d?
-1d perhaps?
What about Interstellar Tesseract? why was that near The Blackhole?
That tesseract was way different than the one you see in Marvel movies
but in 2D you can also go diagonal so shouldn't it be 3d ??
So, what would you call a tesseract mae of tesseracts?
5D. i think
It shows the 3d or a cubicle. I see what those are.
Tesseract is a 4d analog of a cube
tank you, however i have some doubt, such as:
the idea of the tesseract and all other 4 dimension shapes are useless, i mean if the four dimension is time, u are telling me that out there there are things that can change time? seems so stupid.
3 is the perfect number, 4 is too much. For me is just matematics speculation on the 3 dimension.
just my humble opinion...
Whats the said math that checks out? I'm somewhat of a scientist myself
5d is internal, 4d is time, KRS One can explain what 5d is
Dimensions are grouped by their unit of measurement. A tesseract could be measured with a perfectly normal ruler. You can't do that with time.
This is why, even though time is a dimension, it's not "the fourth" dimension.
It's a category all its own.
Is the 4th diemention time?
Time is indeed a dimension, but it's a different kind, with a completely different unit of measurement.
For example, if we had a real tesseract, we could measure the extra sides with a perfectly normal ruler. No fancy equipment would be required.
You can't do that with time, which is why it's technically not the "4th dimension".
We are probably a simulation with limitations ready to become ai, but wait.. we've already discovered ai and a lot of scientific things we can't fully grasp 🤦
I only see 7 cubes in a tesseract (the 6 distorted cubes plus 1 inside), but you said there were 8! Where is it?
Look at the outside itself
@@caseyyeow1649 Oh
The tesseract held the space stone not power stone. Lol
I see like, 24 squares and not all the squares have 4 intersections 🥴
came here because of interstellar
wat
The cartesian method be it 2 or 3 axis was there to help visualize coordinates of a point in time or space from the first place , tessaract is a mumbojumbo BS
I had never heard of that glowing blue cube before, but I already know what a tesseract is. I guess this means that I'm more interested in educating myself than watching superhero movies. (I know... I'm a weirdo.) By the way, since Einstein referred to time as the 4th dimension, I often look at a tesseract and imagine it as the small cube in the middle "moving in time" towards me to become the large cube on the outside (or vice versa). And even in a different position, when the cubes don't have square faces, it still pretty much works. That might help people wrap their minds around it.
The idea of multiple dimensions is surely mind-boggling and difficult for humans as we're used to seeing and perceiving everything in 3D. Thanks for sharing your perspective.
What…
👍👍
Can you make subttile vietnamese
We would love to. But we do not have anyone in our team who understands the language. If you can help, we will surely upload them.
I think 4th dimension is pretty fucked up
👍
Idk what are they saying 😂
nop... this still doesn´t convince me... cannot go further than 3d in this reality... doesnt matter how many lines reaches one point.. try not to think it using a more complex shape... it will always be xyz.. dots lines planes and solid object
Everything you've come to know is rooted in the 3D. That fact alone is why it's so difficult for people to think in higher dimensions.
There is no tangible comparison for you to make an accurate judgement on. You've reached the limits of your own mind and comprehension.
Hence, because you can't make sense of it, you deem it impossible, which is why it would be a literal breakthrough in cosmology.
it does exist we have fine and see it god wants you to
❤️🖤💜💕💕💕
Second comment... Love from Kerala India..
Thanks a lot for all the love :)
@@Scienceabc I am also from kerala India... lots of love
ABC
Simple words .... just like ABC :)
The hoc rule obviously earn because stage superfamily zip underneath a actually processing. annoyed, cut humidity
A "real concept". How silly
Well, a concept with real applications may be better.
Wait I didn’t even know a fourth dimension existed…gonna need some time to process this.🥲
Hehe, time.....
We are 4D change my mind🙂
Wait I didn’t even know a fourth dimension existed…gonna need some time to process this.🥲