This is a fun little experiment I made using Blender Python API. 3D, 4D (Tesseract), 5D, 6D and 7D cubes with simultaneous rotations. Like&Subscribe if you like it! Enjoy!
Interestingly enough if you look at the actual shape of the squares that make up the 3D cube they're not actually squares at certain angles of rotation, our brain has just gotten used to processing 3D shapes and so despite that we see it as intended. The 3D cube actually changes it's shape in 2D projection just as much as the others but our brains can compensate and make it look like an actual 3D object rotating.
I realized that it becomes quite easy to understand the 4d cube when you understand how a 3d cube looks in 2d if you then rotate the 3d cube in 2d it looks very similar to a 4d cube in 3d and you can sorta understand that the 4d cube isnt shapeshifting but simply rotating That being said you can also draw a 4d cube in 2d to understand how higher dimensions work in 3d (for example a 4d cube in 2d would like like a square in a square in a square in square just like how the 5d cube looks like a cube in a cube in a cube in a cube in 3d) Basically in order to understand higher dimensions in 3d just subtract a dimensions from both Sadly tho understanding it wont make you able to imagine or see higher dimensions lolz Edit: also btw the cubes seen in this video are basically 3d shadows of x dimensional cube
I disagree partially. Our brain receives only 2D information via our eyes, yet we can fully visualize a 3D object in our minds. If we could practice manipulating 4D objects, that can help us. Along with understanding concepts that generalize in arbitrary dimensions, I think we can fully comprehend how objects can move in 4D space. At the end of the day, we’re just adding another direction. Of course it’s complicated, but I think the notion that our minds are intrinsically restricted to 3D is completely false.
one of the reasons some parts of the 4d overlap and kinda jump backwards when it's not supposed to is b/c it's a shadow being cast. imagine two pendulums that launch from the same 'spot' with a light shining. one has exactly half the period as the other. both launch at the same time. every couple swings both shadows will look like they're almost the same, then kinda go off on their own. that happens with some legs in this shadow and our mind melts and can't make sense of it. yes. it's a shadow, in 3d.
can you color any two adjacent spheres so that they can be easily distinguished throughout the animation? It's a better place to start. Thank you, either way.
3 dimension to 10D dimension Transitioning from three dimensions to ten dimensions involves a significant shift in our understanding of space. In higher dimensions, the geometry and properties of space become more complex and difficult to conceptualize. In theories like string theory or M-theory, which propose extra dimensions beyond our familiar three, these additional dimensions are often described as compactified or curled up at extremely small scales, making them imperceptible on everyday scales. These theories suggest that these extra dimensions could play a role in explaining phenomena such as the behavior of fundamental particles or the nature of gravity, but their exact implications are still a subject of ongoing research and debate in theoretical physics.
So there can be an infinite number of dimensions and that's scary 😮 the human brain is not designed to perceive higher than 3D ! we can perceive 3D cubes instantly without rotations but we can't perceive higher dimensions without rotations ,we see only one perspective at a time ,
Looking good. However the 5D hypercube is missing a few edges. At 0:39 you can see that big gap and that the vertices surrounding that gap only have 4 edges connected to them. At 0:47 you can see it even better. Sort of like you only rendered 9 of the 10 hypercells. The 6D and 7D cubes seem to be missing even more edges as you can see at 1:01 and 1:23. In general an n dimensional cube should have n edges connected to each vertex with no gaps. Either way i really like that you actually make use of all the rotational planes of the n dimensional space. Out of curiosity: Do you project the dimensions down one by one? Like 7D -> 6D -> 5D and so on or so you project down from 7D straight to 2D while using the pythagorean theorem to calculate the distance? Because of the 7D cube some vertices go out quite far at some points.
Thank you for your comment! Yes, you're right there are some missing edges. And yes, I project them one by one down to 3D. It is done using blender python api.
We CAN understand 4D (if you have enough brain power) and higher dimensions, the thing is we can't perceive them. Also, we even live in 4D. According to Einstein, we live through length, breadth, height and time.
@@MysteryMob-tv5fp But space isn't in 4d, i just said that time isn't the fourth dimension, its the first temporal dimension, i know it may sound like nitpicking but the distinction is important to avoid precisely the type of confusion we're having here the entire thing about calling time the fourth dimension stems from it being the fourth coordinate of spacetime in equations and so scientists call it that sometimes, but if you specifically ask about the fourth dimension everyone will assume you mean the fourth spatial dimension with all the hypercubes and hyperspheres and so on, and our universe doesn't have that dimension
They still are all false. Since they are all 3d projected. And also we use 2d analysis with our eyes through different projections to rebuild the 3d world in our mind. If we had 3d eyes we could build the 4d in our mind buy we cant. And so on. This is just the projection to 3d
It may seem like 4-7D cubes change their shape during rotation, but they actually static figures. The only thing that changes is perspective.
Interestingly enough if you look at the actual shape of the squares that make up the 3D cube they're not actually squares at certain angles of rotation, our brain has just gotten used to processing 3D shapes and so despite that we see it as intended. The 3D cube actually changes it's shape in 2D projection just as much as the others but our brains can compensate and make it look like an actual 3D object rotating.
plus, this is a 2d projection of a 3d simplification of these cubes
The only one my brain could comprehend was the 3D cube.
You dont say 💀
everyone coul only comprehend the 3d cube
What a noob xD
you mean 4D..?
@@youtubeusername4902 I like that you think my brain is that good. Thanks.
I realized that it becomes quite easy to understand the 4d cube when you understand how a 3d cube looks in 2d if you then rotate the 3d cube in 2d it looks very similar to a 4d cube in 3d and you can sorta understand that the 4d cube isnt shapeshifting but simply rotating
That being said you can also draw a 4d cube in 2d to understand how higher dimensions work in 3d (for example a 4d cube in 2d would like like a square in a square in a square in square just like how the 5d cube looks like a cube in a cube in a cube in a cube in 3d)
Basically in order to understand higher dimensions in 3d just subtract a dimensions from both
Sadly tho understanding it wont make you able to imagine or see higher dimensions lolz
Edit: also btw the cubes seen in this video are basically 3d shadows of x dimensional cube
Your Edited Message Is Exactly Great Explainaton Bro.. what kind of Channels you watching?
@@krish7880 tbh i dont really know what channels i am watching but i do know one channel made a game called hyperbolica
They're actually 2d shadows of x dimensional cube.
I disagree partially. Our brain receives only 2D information via our eyes, yet we can fully visualize a 3D object in our minds. If we could practice manipulating 4D objects, that can help us. Along with understanding concepts that generalize in arbitrary dimensions, I think we can fully comprehend how objects can move in 4D space. At the end of the day, we’re just adding another direction.
Of course it’s complicated, but I think the notion that our minds are intrinsically restricted to 3D is completely false.
@@banned2911 what’s an X dimensional cube?
A 4D, 5D, 6D, and 7D cube, in a 3D plain, projected on a 2D surface, for my 1D brain to handle.
And my 0d a** had a stroke reading whatchu said
(I understood it was just to fill in the reply)
4D cube in a 3D engine on a 2D screen made out of 1D lines
The peaceful music with the demonic cubes on screen fits perfectly!
Guys remember that this is a screen projecting a 2d image, so it’s technically 2d
I Like the music. It's pretty relaxing
one of the reasons some parts of the 4d overlap and kinda jump backwards when it's not supposed to is b/c it's a shadow being cast. imagine two pendulums that launch from the same 'spot' with a light shining. one has exactly half the period as the other. both launch at the same time. every couple swings both shadows will look like they're almost the same, then kinda go off on their own. that happens with some legs in this shadow and our mind melts and can't make sense of it. yes. it's a shadow, in 3d.
You earned a new subscriber bro :)
This deserves far more views than what it has.
The 5D-7D cubes are not fully connected. There are some faces missing.
can you color any two adjacent spheres so that they can be easily distinguished throughout the animation? It's a better place to start. Thank you, either way.
Visualisation of multidimensional arrays 👍
3 dimension to 10D dimension
Transitioning from three dimensions to ten dimensions involves a significant shift in our understanding of space. In higher dimensions, the geometry and properties of space become more complex and difficult to conceptualize. In theories like string theory or M-theory, which propose extra dimensions beyond our familiar three, these additional dimensions are often described as compactified or curled up at extremely small scales, making them imperceptible on everyday scales. These theories suggest that these extra dimensions could play a role in explaining phenomena such as the behavior of fundamental particles or the nature of gravity, but their exact implications are still a subject of ongoing research and debate in theoretical physics.
Awesome!
Thank you and like the music.
obviously the 4d one would be a hypercube so i could name the 5d one, a hetratesseract
All of the are my blanket when I try to find the long side
you can actually make higher dimensional objects in blender with only geometry nodes
I think I can understand the fourth dimension from my dreams
So there can be an infinite number of dimensions and that's scary 😮 the human brain is not designed to perceive higher than 3D ! we can perceive 3D cubes instantly without rotations but we can't perceive higher dimensions without rotations ,we see only one perspective at a time ,
OH GREAT LORD OF THIS UNIVERSE ENLIGHTEN US WITH YOUR KNOWLEDGE
🔥🔥🔥
Among the variations, the hexagon and square always appear in all dimensions
It looks like you just added more cubes to the mix
Totally cubular man! 😎
I think 3 is the optimal number of Ds
Vey cool
I dont know why people fail to understand? Its just cube with higher dimensions and it can viewed if you have good imagination power
My brain hurts
I dont want to try and figure out what was going on.
evolving to the space age -
Whats the song called? Its quite calming...
❤
Looking good. However the 5D hypercube is missing a few edges. At 0:39 you can see that big gap and that the vertices surrounding that gap only have 4 edges connected to them.
At 0:47 you can see it even better. Sort of like you only rendered 9 of the 10 hypercells.
The 6D and 7D cubes seem to be missing even more edges as you can see at 1:01 and 1:23.
In general an n dimensional cube should have n edges connected to each vertex with no gaps.
Either way i really like that you actually make use of all the rotational planes of the n dimensional space.
Out of curiosity: Do you project the dimensions down one by one? Like 7D -> 6D -> 5D and so on or so you project down from 7D straight to 2D while using the pythagorean theorem to calculate the distance? Because of the 7D cube some vertices go out quite far at some points.
Thank you for your comment! Yes, you're right there are some missing edges.
And yes, I project them one by one down to 3D. It is done using blender python api.
How many degree for 4d?
You know, it kinda makes sense, but also very much not.
the 4d cube already f*cked me up
If we could make a 3D screen. We will able to understand how 4D looks like. 😮
volumetric displays. hopefully we gonna be able to see them soon on market.
i need to wash my eyes after watching it, just kidding
interesting.
We Can't Understand What Is 4D... because We're Living In A 3d Platform With 2d Eyes And 1D Brain😃
“Umm actually, our brains are 3 dimensional”
-🤓
We CAN understand 4D (if you have enough brain power) and higher dimensions, the thing is we can't perceive them. Also, we even live in 4D. According to Einstein, we live through length, breadth, height and time.
@@MysteryMob-tv5fp We live in 3+1D, time isn't a spatial dimension and has nothing to do with the shapes shown in the video
@@nadarith1044 Ok. But matter bends space-time fabric, so when space itself is in 4d, does that mean we too slightly live in 4d?
@@MysteryMob-tv5fp But space isn't in 4d, i just said that time isn't the fourth dimension, its the first temporal dimension, i know it may sound like nitpicking but the distinction is important to avoid precisely the type of confusion we're having here
the entire thing about calling time the fourth dimension stems from it being the fourth coordinate of spacetime in equations and so scientists call it that sometimes, but if you specifically ask about the fourth dimension everyone will assume you mean the fourth spatial dimension with all the hypercubes and hyperspheres and so on, and our universe doesn't have that dimension
Is the code availabll for this?
It was easy than other animation
Is this project/ addon available?
not at the moment, but I have plans to make a tutorial
I'm so confused to the point that my face is stuck like "😀". I think my braincells died 😀 help 😀😀
LOOK PAUSE IT FIRST! 1:05
A 4D cube is a tesseract
the hexeract is too hard
whats her name?
Post the code bro!!
what the heeeeeeeeeeeeeeeeee-
Music levels bruv. Can't quite hear it..
I'll keep that in mind!
@@danielkrei C418's music will be good ones...
this is confusing af
True
Now show a 0 dimensional cube
They still are all false. Since they are all 3d projected. And also we use 2d analysis with our eyes through different projections to rebuild the 3d world in our mind.
If we had 3d eyes we could build the 4d in our mind buy we cant. And so on. This is just the projection to 3d
Какая чушь!