For most of my life I've had little to no trouble describing the 4th dimension. Now picturing it, that's a different story. When I was younger, about 11 years old, I was in my great grandmother's living room watching TV. Some science program was on and I was enthralled. The episode was about flatland. While it discussed the concept of a 2d world, something clicked in my head. I realized that beings in the 2nd dimension, or "flatland", would see things in the 1st dimension and could only differentiate distance with light or the 2d equivalent. I then realized that we are the same, just bumped up a dimension. Everything we see is a 2 dimensional image and distance is only determined by light and shadows, as far as our brains are concerned. So, for the 4th dimension, you just bump everything up a dimension. So a fourth dimensional being would see everything in the 3rd dimension. If a 2d resident was sitting in his room, looking out a window, a 3d resident could look at them and see their internal organs, their entire house, and even the space around their house. Of course, the distance visible depends on the size of this flatland in comparison to the 3d resident. Now imagine a 4d resident looking at us, the 3d resident. They would be able to see our organs, the entire building, every room, as well as the insulation in the walls, and the space around the building. Just like us looking at flatland, they would see every angle, of every being and object. All while staying completely invisible to us. I believe that humans are capable of picturing and understanding a 4d plane, if we had a reference for one. It's impossible to picture it if we don't have any idea as to what it looks like. There is absolutely no shape or image to give us an idea of it's true form. The situation reminds me of the king who had a pet tiger. He loved the tiger so much that when it passed away, he wanted it stuffed so it would remain with him. The taxidermist he gave the job to lied about knowing what a tiger looked like. So with only the skin and bones of the animal and no idea what it looked like, he attempted to recreate it. It looked very goofy and not really like a tiger at all. That's a true story and you can look up a picture of the stuffed tiger. My point is, even though the taxidermist had the skin and bones of the thing he needed to recreate, he failed miserably. So imagine if he didn't have the skin or bones of the tiger. He only had a confusing, vague, and sometimes contradicting description of what a tiger looked like. Now imagine the description of said tiger completely destroyed the laws of physics and simply couldn't exist in a physical form in our universe. It's nearly impossible to fully picture something if you've never seen it. It becomes definitively impossible when you have absolutely 0 references to go by. When literally everything you've ever experienced is from a 3 dimensional perspective, you can not imagine existing in a true 4th dimension.
I just realised something. The 3d games and software we play aren't actually 3d. The content exists in a 3d plane but its projected through a 2d camera. Our eyes work like that too. Depth perception isn't actually 3d. Even rotating the 3d object allows me on to perceive the surface a 2d. I cannot see behind it and in front simultaneously. I'd have to occupy all the space around it at once. To perceive 3d to me would mean you'd have to occupy the entire 3d space at once at the same time. I'm truly ignorant here but could that be something like the medium the 3d space exists in? Kinda like how a line imexists inside a paper, leaf, tree or anything that has a 2d surface? What comes into my mind and like i said i dont know anythibg and could never prove this, is that it is the medium which this 3d space itself occupies. So the issue to me isn't about perceiving the world in 4d, but what blows our mind is perceiving it in 3d. Perceiving it in 4d is just beyond our imagination. My mind tellse there's no way. That would be like bending space onto itself. Like i said i don't know what i'm saying. It just purely informed speculation
@@Drago-nl7kg potatoes are a kind of plant which means they are a type of living being but unlike us they cant perceive things nor they can act , so to sum it up they cant learn algebra and similarly we cant perceive the 4th geometrical dimension nor we can imagine it neither we can act in it (we cant change it by our will we have no control over it) , and thats why we cant fully learn 4th dimension so its normal for people to not understand the 4th dimension . EXTRA (our universe is 4th dimensional but it has 3 geometrical dimensions and 1 time dimension which allows the flow of movement and existence of physics , 4th geometrical dimension will have different rules of physics by standard definition but some people have theorized that either the smaller particles are 4th or 5th dimensional or the universe in its whole state a 4th dimensional shape , there are no valid evidence to support these hypothesis ) hope you got it.
I've been VERY public about the fact that 10 years on, I still wasn't over the loss of what FEZ II could have been. And I'm being VERY serious. I think this documentary was my way of letting go of my grief.
Wow, you did an amazing job! I can tell you put a lot of love into this and it resulted in this incredibly high quality and interesting documentary. I'm honestly really impressed with the quality of this, keep up the good work!
Aww, thank you so much Digit!!! 😭🙏 It means a lot, especially coming from you! ✨ I wish I had more time to make content as often as the algorithm would like me to! 😅
Hey! Thank you SO! much! 😊 It means a lot, especially from you! 🙏 I wish I could make videos faster and turn this into a full-time thing... but apparently one video every 6 months is not really enough to please the algorithm! 🤣
Thank you! The next one in planning on making will probably be about emergent behaviours! Although I did write a couple of articles about fractals on my blog!
I am amazed that you captured so many of my favorite uses of 4D and 4D-like moments in games and media, seeing them all together and one video actually sent chills down my spine! Incredible work, thank you for all the time you put into this!
Thank YOU for such a kind comment! ❤️ I've been working non stop on this documentary for many months, so I'm really glad you liked it! Definitely lot of love went into its making!
This is the best and most comprehensive explanation/demonstration of 4d space that I've ever seen. You have great examples and graphics that work together to create an excellent, easy to understand way of grasping a complex topic. You introduce very interesting questions with well thought out and explained answers. It's clear that a lot of effort and passion went into the creation of this video, and it did not go unnoticed.
Thank you for making and sharing this 4D documentary. Absolutely amazing! Did you know that knots don't exist in 4D space? They will just untangle by sliding over into the 4th dimension. o_O It's such an alien space, which I think I would know by now, but actually I still don't understand at all...
@@aureole6383 better a little late than never instead, thank you for sharing that mind-blowing 4D factoid. Trying to imagine what knotted 2D planes look like in 4D space is impossible with my 3D brain. My 3D brain immediately imagines ribbons, which are obviously not complete planes...
Hey Renaud! 🤩 Great to see the video somehow found its way to you! Contacting Polytron is ...surprisingly difficult! 🤣 I actually had a small section about Flatland, but it didn't make it into the final cut! I thought FEZ was already, in its own way, a sort of 3D flatland! And yes, this is indeed a love letter to FEZ. 💌 It's a game that didn't just inspire people, but one that actually changed lives. Mine included. So thank you for helping making that possible. 🙏 If you look at the comments, many are actually expressing their grief at the cancellation of FEZ II. And I think "grief" is the proper word to use here, because its loss is something many are not over yet. I think that in a kinder world, this documentary would have been about FEZ II instead. So in a way, this was my way of letting go of that grief, and making peace with the fact that no, we don't actually live in that kind world I long for.
You might call me crazy but I think I understand why we can't understand a rotation on a wx, wy, wx, wz axis, no and why we can't see 4d, but the factor of how our brain perceives shapes Geometrics always seeing in perspective even changing the shape of the object and therefore when we see a 4d object as a thesis we see the cube phase because we cannot understand that it is flat and to prove this, draw two squares without connecting them with canvases, you can see the square but connect one and you will see a cube our brain gets used to seeing everything as square rectangle cubes It is not a mental limitation but a practical one However, there may be a shortcut to this practice the touch without picking up any object, if a 1 year old child sees the 3d shadow of something and sees that something moving, he will think that it has changed the shape but if you give the cube to the child without touch, he can understand how the rotation works the d axis is just a blind angle in our vision that everything from all directions looks the same but if we hold it in our hand the progression of rotation w can be recorded We possibly do not understand the 4d of objects because we are not taught as children to visualize them now everything I said sounds like crazy nahh and it's just a reflection that I did with some experiments to visualize and project 3d leftovers from something 4d like tesranc lol
@@AlanZucconi Thank you! I love a channel with informed content, somebody who is already deep into a subject helping others along. You have excellent animations on top of that!
According to Dewey B Larson the Universe is composed of 3 dimensions of space and 3 dimensions of time and in fact space and time are reciprocal aspects of motion which is the primary element. Thus we live in a 6th dimensional world and space-time does not exist without motion.
Just as the cube is made of squares, the tesseract to my mind looks like it's made up of several fused cubes rotating along an axis my mind cannot yet comprehend. But i'm starting to understand
Hi Alan, I live in the fourth dimension. You have a mole on the underside of your left arm that I think you should get checked out. Otherwise, cheers on this breakthrough video!
@@danielm978 Sure! It's the same reason why UAPs are not humans spaceships travelling back in time. Or why ghosts are not 3D shadow projections of 4D objects. They are unnecessarily complex explanations that requires the existence of a much more complex structures that we have no reason to believe exists as of today. As of 2024, many (most?) UAPs/UFOs are UNEXPLAINED, but that does not mean they are UNEXPLAINABLE. There is simply no need to justify the introduction of extra-dimensional beings, which we have no reason to believe they actually exist. Of course, if some experiment can prove the existence of physical 4D objects, that would be a different story. But as of today, there are much simpler explanations.
Something I struggle with is that wouldn't like a hypersphere, a hypercube be made up of an uncountable number of 3D slices intrinsically linked along its 4th axis? How do you square (heh, get it?) this model with the 8 cube tesseract one?
Well the same is true for a traditional 3D cube. It's made out of infinitely many zero-thickness 2D squares along its third axis. But at the same time, you can join 6 2D squares at their edges to create a cubic shell! 💪
@@AlanZucconi but if you were able to link an infinite number of cubes along the 4th axis (within a finite distance ofc) would it inherently become a tesseract with 8 cube face, or something different?
@@emw2708 Yes, that would become a tesseract! This is because you can (intuitively) imagine a tesseract as a 3D cube that moves over time. Every time slice would be a different point along the W axis.
@@AlanZucconi Oh I think I get it. I'm thinking of the wireframe tesseract too literally, when really the wire frames (at their most pronounced point) represent the two cubes at each end of its 4D height I think? While all the other 3D frames are the cubes in between? Like a line of cubes coming at you but the cube closest to you is still attached to the cube in the back in like a spherical loop through the centers of the cubes. Trippy!
I guess this would explain how a 4D observer would also be able to see inside of you. If it was only 1 cube I think it would be turned inside out when its wrapping back around without the other cubes protecting those angles.
It is not accurate to say that points on the Koch curve can't be described with a single coordinate. They can. The "topological dimension" (as it's known) of the Koch curve is 1. There is another notion of dimension, the "Hausdorff (or fractal) dimension," which puts it between 1 and 2.
Sure! What you're referring is known as SPACETIME. Basically, to identify an event in our universe you need FOUR coordinates: WHERE it happened (x, y, z) and WHEN it happened (t). So we live in 4 dimensions: three spatial ones, and one temporal. But Einstein's spacetime is still 3D when it come to space. What I'm talking in the video is imagining a universe where there are FOUR spatial coordinates: x, y, z and w.
You were doing fine right up until the point where you decided to assume the two dimensional beings would only be able to see a slice of a three-dimensional object that intersects with their two dimensions. That's not how Imaging works. Already humanize essentially have a two-dimensional surface and the lens that casts a projection of the world around us onto that two-dimensional surface. If we used the same lens but only a one-dimensional slice of our retina, we would get pretty much the effect that you're talking about seeing only a one-dimensional projection of a two-dimensional slice of a 3D World from our point of view, but a different sort of lensing system could be used to project the 3D scene onto the linear strip of retina, and likewise a two-dimensional being able to see three-dimensional objects could do so properly if the three-dimensional scene were projected onto it's effectively one-dimensional retina. That's not a slice. It's a projection, but it's not a projection of a projection. It's a direct projection.
Hi! That's an interesting point! I wasn't talking _directly_ about how eyes and retinas would work in 2D. Mostly because that would entail a lot of assumptions! My main argument is that only the 3D points that intersect the 2D plane would physically manifest in that 2D world. So those are the only points that can actually appear and be perceived by beings locked in a 2D slice. How they would physically "see" it, is not something I've really discussed!
That's an interesting point! But the number of dimensions is a different concepts to the number of linearly independent vectors! Something with 9 degrees of freedom still remains a 9-dimensional object, even if all of those are 0s!
Ah! Well, I *hate* that REAL NUMBERS are called "real". It's such a bad word!!! Because the world "real" (used in everyday life) has a very different meaning to "real" (used in mathematics). It's a bit like "significant". It means something in English, and it means something different in Statistics.
Very interesting video. The focus is mainly on 4 spacial dimensions. Often time is considered the 4th. I often rather think of time as the zero'th dimension. Could more temporal dimensions be possible?
Not necessarily. You can use time to show a 4D dimensional object: i.e. showing a 3D object changing over time. But it's like saying that the 3rd dimension of a 3D object is time, and you're showing 2D slices of our world. "True" 4D objects are different from 3D objects which are changing over time.
You can construct four-dimensional spaces in many different ways! Space-time is indeed four dimensional. But 3 spatial + 1 temporal dimension is NOT the same as having 4 spatial dimensions. Einstein's spacetime and 4D Euclidean spaces are two separate entities!
💯🚫🧢 The title is definitely click-baity in the sense that is attracts people's curiosity. But I promise it is not click-baity in the sense that what you see in the thumbnail/title is not what it contains. The fourth dimension is 100% real. But "real" doesn't mean "physical". We use four-dimensional objects every day (such as quaternions and homogeneous coordinates!). They're REAL, but they're not PHYSICAL! In a similar way numbers are real, but they're not physical.
For most of my life I've had little to no trouble describing the 4th dimension. Now picturing it, that's a different story. When I was younger, about 11 years old, I was in my great grandmother's living room watching TV. Some science program was on and I was enthralled. The episode was about flatland. While it discussed the concept of a 2d world, something clicked in my head. I realized that beings in the 2nd dimension, or "flatland", would see things in the 1st dimension and could only differentiate distance with light or the 2d equivalent. I then realized that we are the same, just bumped up a dimension. Everything we see is a 2 dimensional image and distance is only determined by light and shadows, as far as our brains are concerned. So, for the 4th dimension, you just bump everything up a dimension. So a fourth dimensional being would see everything in the 3rd dimension. If a 2d resident was sitting in his room, looking out a window, a 3d resident could look at them and see their internal organs, their entire house, and even the space around their house. Of course, the distance visible depends on the size of this flatland in comparison to the 3d resident. Now imagine a 4d resident looking at us, the 3d resident. They would be able to see our organs, the entire building, every room, as well as the insulation in the walls, and the space around the building. Just like us looking at flatland, they would see every angle, of every being and object. All while staying completely invisible to us. I believe that humans are capable of picturing and understanding a 4d plane, if we had a reference for one. It's impossible to picture it if we don't have any idea as to what it looks like. There is absolutely no shape or image to give us an idea of it's true form. The situation reminds me of the king who had a pet tiger. He loved the tiger so much that when it passed away, he wanted it stuffed so it would remain with him. The taxidermist he gave the job to lied about knowing what a tiger looked like. So with only the skin and bones of the animal and no idea what it looked like, he attempted to recreate it. It looked very goofy and not really like a tiger at all. That's a true story and you can look up a picture of the stuffed tiger. My point is, even though the taxidermist had the skin and bones of the thing he needed to recreate, he failed miserably. So imagine if he didn't have the skin or bones of the tiger. He only had a confusing, vague, and sometimes contradicting description of what a tiger looked like. Now imagine the description of said tiger completely destroyed the laws of physics and simply couldn't exist in a physical form in our universe. It's nearly impossible to fully picture something if you've never seen it. It becomes definitively impossible when you have absolutely 0 references to go by. When literally everything you've ever experienced is from a 3 dimensional perspective, you can not imagine existing in a true 4th dimension.
Thank you for sharing this!
I just realised something. The 3d games and software we play aren't actually 3d. The content exists in a 3d plane but its projected through a 2d camera. Our eyes work like that too. Depth perception isn't actually 3d. Even rotating the 3d object allows me on to perceive the surface a 2d. I cannot see behind it and in front simultaneously. I'd have to occupy all the space around it at once. To perceive 3d to me would mean you'd have to occupy the entire 3d space at once at the same time.
I'm truly ignorant here but could that be something like the medium the 3d space exists in? Kinda like how a line imexists inside a paper, leaf, tree or anything that has a 2d surface?
What comes into my mind and like i said i dont know anythibg and could never prove this, is that it is the medium
which this 3d space itself occupies.
So the issue to me isn't about perceiving the world in 4d, but what blows our mind is perceiving it in 3d. Perceiving it in 4d is just beyond our imagination. My mind tellse there's no way. That would be like bending space onto itself.
Like i said i don't know what i'm saying. It just purely informed speculation
bet
This documentary is a masterpiece
This comment is a masterpiece 😎
You couldn't understand the 4th dimension? Don't worry , potatoes can't learn algebra.
I laughed so hard when I saw this comment even though I do understand the 4th dimension
@@ikes_Pikes thx man i appreciate that.
I don’t get it😅 explanation? Am I a potato now?
@@Drago-nl7kg potatoes are a kind of plant which means they are a type of living being but unlike us they cant perceive things nor they can act , so to sum it up they cant learn algebra and similarly we cant perceive the 4th geometrical dimension nor we can imagine it neither we can act in it (we cant change it by our will we have no control over it) , and thats why we cant fully learn 4th dimension so its normal for people to not understand the 4th dimension .
EXTRA (our universe is 4th dimensional but it has 3 geometrical dimensions and 1 time dimension which allows the flow of movement and existence of physics , 4th geometrical dimension will have different rules of physics by standard definition but some people have theorized that either the smaller particles are 4th or 5th dimensional or the universe in its whole state a 4th dimensional shape , there are no valid evidence to support these hypothesis )
hope you got it.
@@WiLDbEAsTGameSHere XD, I was a little bit slow on that one, very clever
You made an awesome explanation about the 4th dimension, probably the clearest one i’ve ever seen. This vídeo deserves way more recognition
Thank you! 🙏 UA-cam doesn't like that I post only one documentary a year! 🤣
You are criminally underrated
I KNOW RIGHT? 🥲🤣
The Fez 2 trailer music at the start gave me psychic damage at the thought of what might have been.
I've been VERY public about the fact that 10 years on, I still wasn't over the loss of what FEZ II could have been. And I'm being VERY serious.
I think this documentary was my way of letting go of my grief.
Wow, you did an amazing job!
I can tell you put a lot of love into this and it resulted in this incredibly high quality and interesting documentary.
I'm honestly really impressed with the quality of this, keep up the good work!
Aww, thank you so much Digit!!! 😭🙏
It means a lot, especially coming from you! ✨
I wish I had more time to make content as often as the algorithm would like me to! 😅
I'm a sucker for a good video journey into the 4th dimension. Great work Alan
Hey! Thank you SO! much! 😊 It means a lot, especially from you! 🙏 I wish I could make videos faster and turn this into a full-time thing... but apparently one video every 6 months is not really enough to please the algorithm! 🤣
A documentary about fractals would be awesome, if this vid is anything to go by.
Thank you! The next one in planning on making will probably be about emergent behaviours! Although I did write a couple of articles about fractals on my blog!
I am amazed that you captured so many of my favorite uses of 4D and 4D-like moments in games and media, seeing them all together and one video actually sent chills down my spine! Incredible work, thank you for all the time you put into this!
Thank YOU for such a kind comment! ❤️
I've been working non stop on this documentary for many months, so I'm really glad you liked it! Definitely lot of love went into its making!
Thank you :) Amazing work.
You're too kind! Glad you liked it though!
This is the best and most comprehensive explanation/demonstration of 4d space that I've ever seen. You have great examples and graphics that work together to create an excellent, easy to understand way of grasping a complex topic. You introduce very interesting questions with well thought out and explained answers. It's clear that a lot of effort and passion went into the creation of this video, and it did not go unnoticed.
@@artificialsugar8585 thank you so much! 🙏 It took so much time to make all of the animations, so I'm glad you enjoyed this! ✨
Thank you for making and sharing this 4D documentary. Absolutely amazing!
Did you know that knots don't exist in 4D space? They will just untangle by sliding over into the 4th dimension. o_O
It's such an alien space, which I think I would know by now, but actually I still don't understand at all...
Thanks! 4D geometry is so fascinating!
a little late but i just wanted to drop that all hope is not lost! you can still tie knots out of 2d planes
@@aureole6383 better a little late than never instead, thank you for sharing that mind-blowing 4D factoid. Trying to imagine what knotted 2D planes look like in 4D space is impossible with my 3D brain. My 3D brain immediately imagines ribbons, which are obviously not complete planes...
Well done, Alan!! It's humbling to see so much love for FEZ.
Hey Renaud! 🤩 Great to see the video somehow found its way to you! Contacting Polytron is ...surprisingly difficult! 🤣
I actually had a small section about Flatland, but it didn't make it into the final cut! I thought FEZ was already, in its own way, a sort of 3D flatland!
And yes, this is indeed a love letter to FEZ. 💌 It's a game that didn't just inspire people, but one that actually changed lives. Mine included. So thank you for helping making that possible. 🙏
If you look at the comments, many are actually expressing their grief at the cancellation of FEZ II. And I think "grief" is the proper word to use here, because its loss is something many are not over yet. I think that in a kinder world, this documentary would have been about FEZ II instead. So in a way, this was my way of letting go of that grief, and making peace with the fact that no, we don't actually live in that kind world I long for.
Wow! Such a beautiful video, Alan.
This really re-sparked my old interest in the topic of 4D. Thank you.
You're too kind! But I'm glad you enjoyed it! 😊
Great video!
How does this still have only 5k views?
Because I'm at the mercy of the chaotic god that is the UA-cam algorithm. 🥲
Great video! Thank you!
You're welcome! ☺️
my teacher！！
my student! !
My friend ?
you're breaking my heart using the fez 2 trailer in the beginning.
God I wish that game came to be.
anyways, amazing video!
I have the EXACT same feeling. 🥲 This has been my own way to get over the grief.
Unsurprisingly another amazing video! THis was really interesting!
Thank you so much! 🙏 I wish I had more time to make more videos! 🥲
Hell yeah I'll sub!
🙏
The beginning of this video is soooo dang good. Gives me og tron vibes
Thanks! It took a long time to get it right!
You’re welcome! I love the effort you put in your videos
You might call me crazy but I think I understand why we can't understand a rotation on a wx, wy, wx, wz axis, no and why we can't see 4d, but the factor of how our brain perceives shapes Geometrics always seeing in perspective even changing the shape of the object and therefore when we see a 4d object as a thesis we see the cube phase because we cannot understand that it is flat and to prove this, draw two squares without connecting them with canvases, you can see the square but connect one and you will see a cube our brain gets used to seeing everything as square rectangle cubes It is not a mental limitation but a practical one
However, there may be a shortcut to this practice
the touch
without picking up any object, if a 1 year old child sees the 3d shadow of something and sees that something moving, he will think that it has changed the shape
but if you give the cube to the child without touch, he can understand how the rotation works
the d axis is just a blind angle in our vision that everything from all directions looks the same but if we hold it in our hand the progression of rotation w can be recorded
We possibly do not understand the 4d of objects because we are not taught as children to visualize them
now everything I said sounds like crazy nahh and it's just a reflection that I did with some experiments to visualize and project 3d leftovers from something 4d like tesranc lol
Fantastic! Loved it!
Thanks! ✨
Eye opener 23:47
Thanks for the great video! Mainly from second half of the video it was awesome!
I know right! The rotation planes are such a common misconception! 🤣
How you find the time to create this astounds me
It's because I work *every* day. 🥲💀
Heh, heh, heh... The video compression could not comprehend your outro!
I KNOW RIGHT???
It's so painful that some games can only be fully appreciated if you play them, as video compression is so unforgiving!
13:33 okay you got my sub, now I'm interested in seeing the fractal video if it hasn't released yet!
@@BonesMcoy thank you! 🙏 I'd love to do a video on fractals! It's just taking a very long time as I need to code all the visuals from scratch!
@@AlanZucconi Thank you! I love a channel with informed content, somebody who is already deep into a subject helping others along. You have excellent animations on top of that!
That intro reminiscent of FEZ 2 was HARD to watch… 😢
PD: fucking amazing video man, congrats!!!
I KNOW RIGHT? 🥲 I wanted to pay respects to what the game could have been!
According to Dewey B Larson the Universe is composed of 3 dimensions of space and 3 dimensions of time and in fact space and time are reciprocal aspects of motion which is the primary element. Thus we live in a 6th dimensional world and space-time does not exist without motion.
That's an interesting idea, but without any experimental evidence, it remains mostly in the realm of speculation.
Just as the cube is made of squares, the tesseract to my mind looks like it's made up of several fused cubes rotating along an axis my mind cannot yet comprehend. But i'm starting to understand
It's definitely one way to help understanding!
33:36, interesting video cut, dear sir
@Alan Zucconi
Thank you so much!
Why am I obsessed with this topic
Because it's super cool!!!
I have been in the fourth dimension, if you’re there you understand it. Don’t let anybody deceive you and say you can’t get there.
Which train did you take?
"...space is astronomically large....."
@@larryfulkerson4505 well, it is 🥸
I would love to see a video about Fractals
And I'd love to make it! ✨
Why are the likes hidden?
Are they? 😲
Fixed!
I love this documentary 😊
Awww, thanks! I had a lot of fun making it! ✨ There are more documentaries with a similar style on my channel, in case you're interested!
OMG IM LATER BUT ITS WHAT I WANT !!!!!THANKS, GOLDSMITH!!
Beautiful video.
Thank you so much! Glad you liked it!
Finally, Fez II
It was my way up pay homage to what FEZ II could have been. 🥲
Maybe the 4th dimension was friends we made along the way
Ok, but in which direction? 🧐
I can't stop seeing hypercubes! HELP!
BE CAREFUL! If you see them, it means THEY can see you! 🌚
@@AlanZucconi i think one of THEM is near me.
Hi Alan, I live in the fourth dimension. You have a mole on the underside of your left arm that I think you should get checked out.
Otherwise, cheers on this breakthrough video!
I'm calling my GP right now! 😲
So UAPS (Unidentified Anomalous Phenomenon) could hypothetically be a 3D shadow projection of a 4 dimensional object?
No. ✨
@@AlanZucconi could you elaborate why not?
@@danielm978 Sure! It's the same reason why UAPs are not humans spaceships travelling back in time. Or why ghosts are not 3D shadow projections of 4D objects. They are unnecessarily complex explanations that requires the existence of a much more complex structures that we have no reason to believe exists as of today. As of 2024, many (most?) UAPs/UFOs are UNEXPLAINED, but that does not mean they are UNEXPLAINABLE. There is simply no need to justify the introduction of extra-dimensional beings, which we have no reason to believe they actually exist. Of course, if some experiment can prove the existence of physical 4D objects, that would be a different story. But as of today, there are much simpler explanations.
@@AlanZucconi thank you for the detailed and thought out answer.
Something I struggle with is that wouldn't like a hypersphere, a hypercube be made up of an uncountable number of 3D slices intrinsically linked along its 4th axis? How do you square (heh, get it?) this model with the 8 cube tesseract one?
Well the same is true for a traditional 3D cube. It's made out of infinitely many zero-thickness 2D squares along its third axis.
But at the same time, you can join 6 2D squares at their edges to create a cubic shell! 💪
@@AlanZucconi but if you were able to link an infinite number of cubes along the 4th axis (within a finite distance ofc) would it inherently become a tesseract with 8 cube face, or something different?
@@emw2708 Yes, that would become a tesseract! This is because you can (intuitively) imagine a tesseract as a 3D cube that moves over time. Every time slice would be a different point along the W axis.
@@AlanZucconi Oh I think I get it. I'm thinking of the wireframe tesseract too literally, when really the wire frames (at their most pronounced point) represent the two cubes at each end of its 4D height I think? While all the other 3D frames are the cubes in between? Like a line of cubes coming at you but the cube closest to you is still attached to the cube in the back in like a spherical loop through the centers of the cubes. Trippy!
I guess this would explain how a 4D observer would also be able to see inside of you. If it was only 1 cube I think it would be turned inside out when its wrapping back around without the other cubes protecting those angles.
It is not accurate to say that points on the Koch curve can't be described with a single coordinate. They can. The "topological dimension" (as it's known) of the Koch curve is 1. There is another notion of dimension, the "Hausdorff (or fractal) dimension," which puts it between 1 and 2.
Thank you for the clarification! This is actually really great to know!
i was going to get the monument valley game but it cost 4 dollars
It's money well spent!
how are 3x3 matrices 9 dimensions? dont they represent the 3 coordinates of the 3 axis?
3x3 matrices are 9-dimensional objects because they have 9 independent numbers you can play with. What you then use them for is something different!
If there were things in the 4th dimension, we would see evidence of it. I don't see things appearing and disappearing.
That's not necessarily the case. In many theories, including string theories, those extra dimensions are "compressed".
@@AlanZucconi compressed eh? Interesting.
Apt 👌
Why no live chat
There's a live chat RIGHT NOW! Try refreshing the page!
Would be nice to have the names of the games next to the picture!
They are! 😅
@@AlanZucconi wow it’s so tiny. Saw it thanks! Please keep up the great work ❤️
@@aprilbrent5851 thanks! 🙏
What if a black hole is a way into the 4th dimension or worm hole never know just giving out some ideas
It's a captivating idea, but there's no reason to believe that at the moment!
Here for when this randomly blows up to 773k views in three years
I'll put that on my calendar! 😎
Ah, no honorable mention of 4D miner. :( afaik it also has accurate 4 dimension representation.
I see it's not out yet! I'll try to post about it when it comes out!
It's not "it" in the case of Hypercubes, as there are more than one type!
Yay I'm becoming insane again :D
It's one of the many risks of being exposed to the fourth dimension.
its sad more people didnt give a chance to the rest of your channel after watching the imnecraft video. this video is just as interesting so far
Awww, this is so kind! 🥹 Unfortunately UA-cam decided to give zero visibility to this video. 🥲
Superb 🤌🏽
Super comment 🤌
Einstein and others have said time is the fourth dimension, could you address that?
Sure! What you're referring is known as SPACETIME. Basically, to identify an event in our universe you need FOUR coordinates: WHERE it happened (x, y, z) and WHEN it happened (t). So we live in 4 dimensions: three spatial ones, and one temporal. But Einstein's spacetime is still 3D when it come to space. What I'm talking in the video is imagining a universe where there are FOUR spatial coordinates: x, y, z and w.
You were doing fine right up until the point where you decided to assume the two dimensional beings would only be able to see a slice of a three-dimensional object that intersects with their two dimensions. That's not how Imaging works. Already humanize essentially have a two-dimensional surface and the lens that casts a projection of the world around us onto that two-dimensional surface. If we used the same lens but only a one-dimensional slice of our retina, we would get pretty much the effect that you're talking about seeing only a one-dimensional projection of a two-dimensional slice of a 3D World from our point of view, but a different sort of lensing system could be used to project the 3D scene onto the linear strip of retina, and likewise a two-dimensional being able to see three-dimensional objects could do so properly if the three-dimensional scene were projected onto it's effectively one-dimensional retina. That's not a slice. It's a projection, but it's not a projection of a projection. It's a direct projection.
Hi! That's an interesting point! I wasn't talking _directly_ about how eyes and retinas would work in 2D. Mostly because that would entail a lot of assumptions! My main argument is that only the 3D points that intersect the 2D plane would physically manifest in that 2D world. So those are the only points that can actually appear and be perceived by beings locked in a 2D slice. How they would physically "see" it, is not something I've really discussed!
"... a line is a one-dimensional object..."
(proceeds to show something that is neither a line nor in one dimension)
"Are numbers real?"
(suggests that negative numbers aren't real when they are mathematically defined as "real numbers")
"Let me show you this 3x3 matrix which has 9 dimensions..."
(no idea it has 6 linearly independent vectors and 6 dimensions max)
That's an interesting point!
But the number of dimensions is a different concepts to the number of linearly independent vectors! Something with 9 degrees of freedom still remains a 9-dimensional object, even if all of those are 0s!
Ah! Well, I *hate* that REAL NUMBERS are called "real". It's such a bad word!!! Because the world "real" (used in everyday life) has a very different meaning to "real" (used in mathematics).
It's a bit like "significant". It means something in English, and it means something different in Statistics.
How this possible that 4 dimension is real
Not sure if you had a chance to watch the entire video yet, but it's explained there!
Oh ok
4 dimensions exist, but maybe not 4 spacial dimensions.
Very interesting video. The focus is mainly on 4 spacial dimensions. Often time is considered the 4th. I often rather think of time as the zero'th dimension. Could more temporal dimensions be possible?
My username liked this
My username liked your username 😎
Isn't 4 dimension time ?
Not necessarily. You can use time to show a 4D dimensional object: i.e. showing a 3D object changing over time. But it's like saying that the 3rd dimension of a 3D object is time, and you're showing 2D slices of our world. "True" 4D objects are different from 3D objects which are changing over time.
@@AlanZucconi 😴😴💤 thanks for your time
But it looks so werid were it found
Time is the 4th dimension. Argue that with Einstein.
You can construct four-dimensional spaces in many different ways! Space-time is indeed four dimensional. But 3 spatial + 1 temporal dimension is NOT the same as having 4 spatial dimensions. Einstein's spacetime and 4D Euclidean spaces are two separate entities!
This video is cap (ill update later if it turns out to not be cap) [i haven't watched the video yet]
💯🚫🧢
The title is definitely click-baity in the sense that is attracts people's curiosity. But I promise it is not click-baity in the sense that what you see in the thumbnail/title is not what it contains.
The fourth dimension is 100% real. But "real" doesn't mean "physical". We use four-dimensional objects every day (such as quaternions and homogeneous coordinates!). They're REAL, but they're not PHYSICAL! In a similar way numbers are real, but they're not physical.
Hey Fourth is size.
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