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.
all of them are n-hypercubes: 0d is a point, 1d is a line, 2d is a square, 3d is a cube, 4d is a tesseract (because tessera = four) and from then on you have 5d penteract, 6d hexeract, 7d hepteract and so on
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.
It may seem like “spinning”, but the entire time, your brain gets so confused so it thinks its switching. In reality, it’s just a cube in a cube. EDIT: Find the right frame? If you did, you’ll see that the cube is inside a cube.
Cool video! 360 vr videos is like a rotating tesseract. To us this is bizarre. But I can imagine that a person in the fourth dimension, perceives the same, about the three-dimensional space! Since all the angles of the room are projected in a single flat image, I wonder what it would have looked like if the camera had moved in all 360 degree directions, in other words, by growing larger or shrinking, relative to a spherical room in a game simulation ...
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 ,
i made it to 4d cubes (the cubes that i could sometimes comprehend) then the 5d cube is breaking my brain that i need to become a zombie that needs brains
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
