imagine you being in one of the sections(rooms) of this cube. you move forward without changing direction but always end up in the same room again. (note that the outside of the cube is a room itself: 3d: 1 room, 4d: 8 rooms)
Simple, but hard to imagine it in our 3-d reality. stop making 3d television (it already looked 3d on a 2d screen dumbasses and even with this pop-out stuff the depth is just a bit more defined) and come out with some 4 d stuff, that'll actually blow me away. fukn James Cameron, screw you.
@wtfnoob999 I don't think objects like this can exist in our universe, because if there *are* extra dimensions beyond the familiar three, they are extremely small. :-) Glad you liked the vid, though! :-)
im sure the fourth dimension is time, how can this be percived as an object by 3 dimensional beings? this just looks like a smaller cube inside a bigger cube while they are spinning.
@imaimposter I am operating under the idea that time is not the fourth dimension. Time is clearly a different type of dimension from a spatial dimension. Actually, it's just a matter of definition, but what I mean by a 4D cube is a 4th -spatial- dimension, so time could be called the -5th- dimension here. :-)
@imaimposter Try to draw a map of the earth's surface on a flat sheet of paper without any distortion. It cannot be done. For similar reasons it is impossible to show us a higher-dimensional object, only mere projections of them.
I have a couple of other 4D cubes, some of them move a lot slower. :-) Or maybe it's just confusing because it's so far out of our everyday experience!
Heheh. Don't get sick! This is the 3D shadow of a spinning 4D cube. It's similar to what you'd see watching the 2D shadow of a spinning 3D cube if you were a two-dimensional creature looking from the side. :-)
Also because I've recently got round to writing up my general formula in terms of n for the sum of k^a for k=1 up to n and a any integer by coming up with my own conclusions for n dimensional space and you seem like a clever boffin is this "my" formula and if unsure what should I do with it, is there some sort of journal I should trall through or expert in a field I have small knowledge of what has been covered within the world of maths and am hoping that this has been left undisturbed.
As for your formula, I'm not a mathematician, so I don't know the answer to your question. (I'm not really a geometer either, just interested.) You mean (for example) for something like a=2, and n=5 k = 1+4+9+16+25 = 55? I would guess that something like that has been explored, but I couldn't say for sure. It sounds like Gauss or Calculus to me. Anyway, it's fun to discover stuff on your own, even if it's been done before, and if it's really original, you'll be famous!
I'm intrigued is this approximation of 4d on 2d spot on and if so could you do it fixed about each of the four axis in turn rather than some random point and how about just choosing the 4th dimension and running from blue to red with the cube because the colours do nothing, I really like the idea of trying to visualise it but without some order or meaning to the rotation this cube just helps promote the mystery rather than understanding of this abstract idea for me personally.
Well, there *is* actually meaning to the colors. Red 0 = -x, red 128 = +x, green 0 = -y, green 128 = +y, blue 0 = -z, blue 128 = +z, and black [0,0,0] = -w, and gray [127,127,127] = +w. So, you can tell by the color which vertex is which; black is [-1,-1,-1,-1], pink is [1,0,0,1], dark blue is [-1,-1,1,-1], etc. The rotations are not random either. There are six axes in 4D space, xy, xz, yz, xw, yw, and zw. There's a list above of the rotations, starting with the xw axis. Does that help?
No 4D in real life - unfortunately. This is just a mathematical abstraction. I suppose it's all for the best, though. If we 4D beings suddenly found ourselves in a 4D world, our insides would fall out. I'm sure that would be a bad thing. :-)
that would suck.. and as an added bonus the insides of our organs would fall out, and so forth. We'd be redistributed infinitely, in other words wed be vaporized in the new dimension
Here's the actual rotation plan for this animation. I used 't' instead of 'w'. It's a bit hard to interpret, the frame start and end of a 360 degree rotation. It *does* start with XW, but it looks like it actually ends with ZW. rotxy = (AngleState360 210 420 scanline) rotxz = (AngleState360 120 330 scanline) rotyz = (AngleState360 390 600 scanline) rotxt = (AngleState360 30 240 scanline) rotyt = (AngleState360 300 510 scanline) rotzt = (AngleState360 480 690 scanline)
imagine you being in one of the sections(rooms) of this cube. you move forward without changing direction but always end up in the same room again. (note that the outside of the cube is a room itself: 3d: 1 room, 4d: 8 rooms)
Dukenoob 1 week ago
I don't really know what I'm supposed to see other than a confusing cube. 4th dimension is time right? What is that supposed to look like?
batseend 1 year ago
@batseend Who told you that it's time? nobody exactly knows. it isn't just a confusing cube. It's a 3D proection of 4D rotating cube
alecknsk 10 months ago
this is why i have problems with shows at theme parks that claim thet they're 4D >_>
EvilBranMuffiin 1 year ago
You know, after watching your other videos, the 4D cube looks very simplistic...
sheffernan704 1 year ago
@sheffernan704 Thank you! I'm glad you liked it. :-)
WildStar2002 1 year ago
wtf? this is only a 3D rotation.
TUT853 1 year ago
@TUT853 What looks like the cube morphing is when it's doing a 4D rotation. :-)
WildStar2002 1 year ago
@TUT853
It's the 3D "shadow" of a 4D cube, just like a 3D cube would cast a 3D shadownon the wall.
gedankenwelten 4 months ago
@gedankenwelten 2D shadow on the wall of course.
gedankenwelten 4 months ago
Square is bounded by lines
Cube is bounded by square planes
This is bounded by cubic volumes
Simple, but hard to imagine it in our 3-d reality. stop making 3d television (it already looked 3d on a 2d screen dumbasses and even with this pop-out stuff the depth is just a bit more defined) and come out with some 4 d stuff, that'll actually blow me away. fukn James Cameron, screw you.
BecuzIt 1 year ago
@BecuzIt Heheh - 4D TV? Aha, a challenge! :-)
WildStar2002 1 year ago
ouch omg thinking about this hurts really bad gl if we ever find out
wtfnoob999 1 year ago
@wtfnoob999 I don't think objects like this can exist in our universe, because if there *are* extra dimensions beyond the familiar three, they are extremely small. :-) Glad you liked the vid, though! :-)
WildStar2002 1 year ago
im sure the fourth dimension is time, how can this be percived as an object by 3 dimensional beings? this just looks like a smaller cube inside a bigger cube while they are spinning.
imaimposter 1 year ago
@imaimposter I am operating under the idea that time is not the fourth dimension. Time is clearly a different type of dimension from a spatial dimension. Actually, it's just a matter of definition, but what I mean by a 4D cube is a 4th -spatial- dimension, so time could be called the -5th- dimension here. :-)
WildStar2002 1 year ago
@imaimposter Try to draw a map of the earth's surface on a flat sheet of paper without any distortion. It cannot be done. For similar reasons it is impossible to show us a higher-dimensional object, only mere projections of them.
FluffyBunniesOnFire 1 year ago 3
@FluffyBunniesOnFire Exactly right! :-)
WildStar2002 1 year ago
I have a couple of other 4D cubes, some of them move a lot slower. :-) Or maybe it's just confusing because it's so far out of our everyday experience!
WildStar2002 2 years ago
stoooop spinning!!! ;D i don't get it ^^
TheCrimson66 2 years ago
Heheh. Don't get sick! This is the 3D shadow of a spinning 4D cube. It's similar to what you'd see watching the 2D shadow of a spinning 3D cube if you were a two-dimensional creature looking from the side. :-)
WildStar2002 2 years ago
For better understanding, at starting point (first frame)
- The 4 projections along X Y Z W are not orthogonal but are perspective view (conic)
- The viewer must imagine the 4 vanishing points
X-vanishing pt on the left
Y-vanishing pt on the bottom
Z-vanishing pt on the top
W-vanishing pt in the middle of cube
- During rotations you can follow the focus of these 4 vanishing points
- This is a very hard challenge
A great job from WildStar2002 and great pleasure for us
begvend 2 years ago
Thank you very much. :-)
WildStar2002 2 years ago
Also because I've recently got round to writing up my general formula in terms of n for the sum of k^a for k=1 up to n and a any integer by coming up with my own conclusions for n dimensional space and you seem like a clever boffin is this "my" formula and if unsure what should I do with it, is there some sort of journal I should trall through or expert in a field I have small knowledge of what has been covered within the world of maths and am hoping that this has been left undisturbed.
quodin 2 years ago
As for your formula, I'm not a mathematician, so I don't know the answer to your question. (I'm not really a geometer either, just interested.) You mean (for example) for something like a=2, and n=5 k = 1+4+9+16+25 = 55? I would guess that something like that has been explored, but I couldn't say for sure. It sounds like Gauss or Calculus to me. Anyway, it's fun to discover stuff on your own, even if it's been done before, and if it's really original, you'll be famous!
WildStar2002 2 years ago
I'm intrigued is this approximation of 4d on 2d spot on and if so could you do it fixed about each of the four axis in turn rather than some random point and how about just choosing the 4th dimension and running from blue to red with the cube because the colours do nothing, I really like the idea of trying to visualise it but without some order or meaning to the rotation this cube just helps promote the mystery rather than understanding of this abstract idea for me personally.
quodin 2 years ago
Well, there *is* actually meaning to the colors. Red 0 = -x, red 128 = +x, green 0 = -y, green 128 = +y, blue 0 = -z, blue 128 = +z, and black [0,0,0] = -w, and gray [127,127,127] = +w. So, you can tell by the color which vertex is which; black is [-1,-1,-1,-1], pink is [1,0,0,1], dark blue is [-1,-1,1,-1], etc. The rotations are not random either. There are six axes in 4D space, xy, xz, yz, xw, yw, and zw. There's a list above of the rotations, starting with the xw axis. Does that help?
WildStar2002 2 years ago
So is this 4D representation achievable in real life? or does it stop at 3D?
Cortez7 2 years ago
No 4D in real life - unfortunately. This is just a mathematical abstraction. I suppose it's all for the best, though. If we 4D beings suddenly found ourselves in a 4D world, our insides would fall out. I'm sure that would be a bad thing. :-)
WildStar2002 2 years ago
Yeah, that'd be pretty bad ;)
Cortez7 2 years ago
that would suck.. and as an added bonus the insides of our organs would fall out, and so forth. We'd be redistributed infinitely, in other words wed be vaporized in the new dimension
theoriginalmcsquare 2 years ago
I *hate* when that happens!
WildStar2002 2 years ago
nice thats pretty cool
halo3freak91 3 years ago
Nice! I've been looking for tesseracts rotating in different ways.
Lovebattallion 3 years ago
Hi,
Its very good job and appreciate it.
This movie starts with XW rotation and ends with YW rotation, but I dont see other rotations between them.
Thank a lot for all your 4D movies.
begvend 3 years ago
Here's the actual rotation plan for this animation. I used 't' instead of 'w'. It's a bit hard to interpret, the frame start and end of a 360 degree rotation. It *does* start with XW, but it looks like it actually ends with ZW. rotxy = (AngleState360 210 420 scanline) rotxz = (AngleState360 120 330 scanline) rotyz = (AngleState360 390 600 scanline) rotxt = (AngleState360 30 240 scanline) rotyt = (AngleState360 300 510 scanline) rotzt = (AngleState360 480 690 scanline)
WildStar2002 3 years ago