this is not the fly through of a torus through 3D....i hope what you we trying to explain the passage of a 4d hyper toroid through 3d...but this is not it....it is beyond our perception....our brain cannot understand things that we cant perceive....to understand 4d you need to go near a black hole and need to have nucleate vision....as you know that is not gonna happen...so why waste ur time....
though you're right about people can't perceiving the 4th dimension, but people can still roughly understand a 4d fly-through into 3d. they just can't understand the figure itself. i'm just clearing up your wording.
imagine a 4d object passing through our plane. its speed would determine the time it would take to go through the sort of behavior you observe in this video. however, change the speed and the object's 4th axis length (and thus its true appearance) proportionately and it would appear exactly the same to us as it passes through. this illustrates the problem in that we can not possibly comprehend what a 4d object REALLY looks like. any imagining you may be doing is still entirely in 3d.
We don't now how much dimension does the universe have, we don't know does the dimensions are everything (in some maths there is something more than dimenison for ex: x- one dimension, x^2 two dimensions, x^x is sth more than only "dimensions". So the question is what is the shape??
what do u think about vortex or active galaxies? or supernovae? can it be a 3d cross section? Or maybe the electromagnetic\gravitational phenomena itself is a projection into 3d world.?
Each dimension is at 90 degrees to the other. If you try to imagine a 4d conscious being it would see past the duality of our 3d/1time perception. Time would no longer be linear, it would be infinite, or more appropriately eternal. This could be equated to Satori.
Regarding the fundamental forces of nature it is also very probably that we are only seeing a fraction of what is really going on.
time has nothing to do with 3 spatial dimentions of our space. time has value but it's not a vector variable. (aka no directional component)
so i think 4d beings would perceive time in the same way we perceive it cause time still will stay separate from the 4 spatial dimensions of their 4 dimensional world
The fourth dimension only appears to us as time. We are only seeing a slice of the 4th dimension because we are not fully able to perceive with that set of perception. A 4 dimensional being would be able to perceive the totality of the 3rd dimension because it is at 90 degrees to it. Much like how a 3 dimensional being can perceive the entirety of a 2d existence. We are like the 2d to the 3d, when applied to our 4d comparison.
Well yes it can just not in any way we can recognize: We perceive time as a succession of 3 dimensional slices (an incomplete 4th dimension comprehension). The 4th dimension can exist spatially but because of our psycho-somatic apparatus we are not able to grasp it that way.
@ActiveStorage Would our linear perception of time from a 4th dimensional perspective be like looking at a plane in the 3rd dimension - That is a 'slice' of a higher dimension?
@elmolester I donno why but ppl keep comparing time to an actual real physical space. From a non-theoretical point of view time is not space. Can you imagine urself as a 2dimentional being who's able to see only in 2 dimensions? Personally i just cant wrap my head around this concept. Even 2d sheet of paper actually has 3rd dimensional component to it. Even if it's one atom thick
maybe it would. maybe it wouldnt. Noone knows how humans would perceive time from a 4th dimensional perspective.
lol. i've read ur first post and finally realized what u are trying to say. I agree that "4 dimensional beings" can perceive "time" as a PART of their 4th spatial dimension. But it's not gonna be time as we know it. So i was trying to say (hope this time i've made it clear) that time IT-SELF aka AS WE KNOW IT can not be considered a 4th spatial dimension.
Yes, I'm lost as well. You're right the thre dimensions you're thinking of are length (depth), height and width. However, from what I understand, the fourth dimension is time. I think that the "4D" in this animation would be the normal three dimensions as the animation itself, but the fourth dimension, time, would seem to be the 40 second duration of the animation, that's the only way I can see how the fourth dimension would apply here.
This video is a representation of a torus in a four dimensional space. Spacetime is different from a four dimensional space. Spacetime has three spatial dimensions and one dimension of time that is not synonymous with the other three.
This is actually talking about the 4th spacial dimension. It is impossible for us to perceive a 4D object, just as a 2D being could not perceive a 3D object. Just as a 2D being could only see 2D slices of a 3D object, we can only see 3D slices of a 4D object. Take a cube: 1 point-2 points=line-4 lines=square-6 squares=cube. Then 4D would be: 8 cubes=tesseract. Impossible for us to imagine, because we only have 3 dimensions to work with. This vid is a 4D object passing through a 3D universe.
do u realy need this type of math in life?
MrEngineerNasa 7 months ago
It seems that you kept the constant of Gravity in this projection. Is there a reason for that?
lsdrummer08 11 months ago
@lsdrummer08 It seems to me like its moving at a constant speed and not accelerating at all. How do you mean that gravity is in effect?
MacLaurin83 8 months ago
wtf did i just watch
spikeycrap 1 year ago
I have no idea what this is and there's no explanation here to assist your viewers.
tnuh55 1 year ago
What software did you use to generate this?
@ siddharthaananda: Unless I'm completely misperceiving the topology (a real possibility mind you, so help me out Mike) this is of 1-genus.
3w4v 1 year ago
The fly-through looks different from what I'd imagine. Is the cross-section parallel with any three axes?
N3bu14Gr4y 1 year ago
@N3bu14Gr4y Nope, it's tilted.
mike40033 1 year ago
sweet, that went slow enough so i could try and processes what the shape would actually be.
ChrisCDXX 1 year ago
this is not the fly through of a torus through 3D....i hope what you we trying to explain the passage of a 4d hyper toroid through 3d...but this is not it....it is beyond our perception....our brain cannot understand things that we cant perceive....to understand 4d you need to go near a black hole and need to have nucleate vision....as you know that is not gonna happen...so why waste ur time....
VARUNRV007 2 years ago
though you're right about people can't perceiving the 4th dimension, but people can still roughly understand a 4d fly-through into 3d. they just can't understand the figure itself. i'm just clearing up your wording.
alanochanman 2 years ago 2
you are retarded.
presbarkeep 2 years ago
is it a torus of 2 genius?
siddharthaananda 2 years ago
You can already imagine 4d, it takes a few days of practice, not mention the fact that your mind is 3d and your natural perception is 3d
czero69 2 years ago
imagine a 4d object passing through our plane. its speed would determine the time it would take to go through the sort of behavior you observe in this video. however, change the speed and the object's 4th axis length (and thus its true appearance) proportionately and it would appear exactly the same to us as it passes through. this illustrates the problem in that we can not possibly comprehend what a 4d object REALLY looks like. any imagining you may be doing is still entirely in 3d.
ricklebalpickle 2 years ago
What shape is the universe?
AmosJLedge 2 years ago
We don't now how much dimension does the universe have, we don't know does the dimensions are everything (in some maths there is something more than dimenison for ex: x- one dimension, x^2 two dimensions, x^x is sth more than only "dimensions". So the question is what is the shape??
czero69 2 years ago
A four dimensional being would perceive a 3 dimensional being in it's entire temporal existence (from birth to death) instantaneously.
B3nkr3w 2 years ago
who said that?
ActiveStorage 2 years ago
Everyone read Flatland. It helps explain the 4th dimension by comparing the 2nd and 3rd dimensions
kirby4d 2 years ago
the torus is 4d, so shouldnt the cross section be in 3d?
Muvlonion 2 years ago
Youtube doesn't support holographic projection yet, so I did the best I could...
mike40033 2 years ago 16
what do u think about vortex or active galaxies? or supernovae? can it be a 3d cross section? Or maybe the electromagnetic\gravitational phenomena itself is a projection into 3d world.?
fuck knows
ActiveStorage 2 years ago
Each dimension is at 90 degrees to the other. If you try to imagine a 4d conscious being it would see past the duality of our 3d/1time perception. Time would no longer be linear, it would be infinite, or more appropriately eternal. This could be equated to Satori.
Regarding the fundamental forces of nature it is also very probably that we are only seeing a fraction of what is really going on.
B3nkr3w 2 years ago
time has nothing to do with 3 spatial dimentions of our space. time has value but it's not a vector variable. (aka no directional component)
so i think 4d beings would perceive time in the same way we perceive it cause time still will stay separate from the 4 spatial dimensions of their 4 dimensional world
imho
peace
ActiveStorage 2 years ago
The fourth dimension only appears to us as time. We are only seeing a slice of the 4th dimension because we are not fully able to perceive with that set of perception. A 4 dimensional being would be able to perceive the totality of the 3rd dimension because it is at 90 degrees to it. Much like how a 3 dimensional being can perceive the entirety of a 2d existence. We are like the 2d to the 3d, when applied to our 4d comparison.
B3nkr3w 2 years ago
interesting theory. but whatever the 4th dimension is, time can not be a spatial dimension. That's what i was trying to point out
peace
ActiveStorage 2 years ago
Well yes it can just not in any way we can recognize: We perceive time as a succession of 3 dimensional slices (an incomplete 4th dimension comprehension). The 4th dimension can exist spatially but because of our psycho-somatic apparatus we are not able to grasp it that way.
B3nkr3w 2 years ago
Comment removed
ActiveStorage 2 years ago
Comment removed
ActiveStorage 2 years ago
time can be a part of the 4th spatial dimension, but the 4th spatial dimension can not be time as we know it.
Hope now i've made my-self clear ) sorry for this confusion and deleted messages
ActiveStorage 2 years ago 6
@ActiveStorage Would our linear perception of time from a 4th dimensional perspective be like looking at a plane in the 3rd dimension - That is a 'slice' of a higher dimension?
elmolester 1 year ago
@elmolester I donno why but ppl keep comparing time to an actual real physical space. From a non-theoretical point of view time is not space. Can you imagine urself as a 2dimentional being who's able to see only in 2 dimensions? Personally i just cant wrap my head around this concept. Even 2d sheet of paper actually has 3rd dimensional component to it. Even if it's one atom thick
maybe it would. maybe it wouldnt. Noone knows how humans would perceive time from a 4th dimensional perspective.
ActiveStorage 1 year ago
lol. i've read ur first post and finally realized what u are trying to say. I agree that "4 dimensional beings" can perceive "time" as a PART of their 4th spatial dimension. But it's not gonna be time as we know it. So i was trying to say (hope this time i've made it clear) that time IT-SELF aka AS WE KNOW IT can not be considered a 4th spatial dimension.
peace
ActiveStorage 2 years ago
can anyone explain me this?
i cannot undstnd!
luiG16 3 years ago
CURSE MY FEEBLE 3 DIMENSIONAL BRAIN
2YinYang2 3 years ago 30
hmmm
it looks too much like a hollow torus
what with the slow movement from top to bottom
a letter O
but hollow
the bit in the middle is definitely the tricky bit
happyseaurchin 3 years ago
think of a sphere intersecting a 2d plane
like a ball entering water
at the water surface
we would see a dot, a small circle, becoming larger, and then smaller then a dot and disappearing
as the ball becomes completely submerged
now think of a 4d sphere intersecting 3d space
we'd see a dot, a small sphere, getting bigger and then smaller, a dot then disappearing
as the 4d sphere passes through our space
this image is for a 4d torus intersecting our 3d space... tricky :)
happyseaurchin 3 years ago 3
ok im lost. i got up to 3D, which i think is length, hight and width.... whats the fouth dimension?
XxXHissoriXxX 3 years ago 2
Yes, I'm lost as well. You're right the thre dimensions you're thinking of are length (depth), height and width. However, from what I understand, the fourth dimension is time. I think that the "4D" in this animation would be the normal three dimensions as the animation itself, but the fourth dimension, time, would seem to be the 40 second duration of the animation, that's the only way I can see how the fourth dimension would apply here.
However this is all speculation.
Nice animation though!
Kasbm 3 years ago
This video is a representation of a torus in a four dimensional space. Spacetime is different from a four dimensional space. Spacetime has three spatial dimensions and one dimension of time that is not synonymous with the other three.
cube11235 3 years ago
This is actually talking about the 4th spacial dimension. It is impossible for us to perceive a 4D object, just as a 2D being could not perceive a 3D object. Just as a 2D being could only see 2D slices of a 3D object, we can only see 3D slices of a 4D object. Take a cube: 1 point-2 points=line-4 lines=square-6 squares=cube. Then 4D would be: 8 cubes=tesseract. Impossible for us to imagine, because we only have 3 dimensions to work with. This vid is a 4D object passing through a 3D universe.
tiggxtreme 3 years ago