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As we all know, there are 3 dimensions in shapes. 1st dimension being a point, 2nd being a line/shape, and 3rd being an object that exists in our realm of reality. But actually there is a 4th dimension in shapes! When one comprehends how to go about creating one of these objects, it is mind boggling! But indeed, they do, at least in theory, exist. These shapes are known as tesseracts, 4 dimensional objects that are impossible to express in reality, thus must be shown in 3 dimensions. These shapes in their nature of incomprehendable planes of reality are nothing short of fascinating. And indeed their history is equally as interesting, including their usage in trying to build inter-dimensional travelling machines, and time travel divices. I am not quite sure what their connection is with the conventional 4th dimension (time), but whatever it is, I am sure it will conjure just as much mystery!
Here is a good site to see and actually manipulate a tesseract....try it out!
Click here to see the tesseract!
4 Dimensional Object Here is something interesting
#1
Miotu 
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Posted 10 October 2003 - 01:32 AM
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#3
CongressJon
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Posted 10 October 2003 - 11:08 AM
Actually, the fourth dimension is time, Zolon.
Think of it this way, simply enough.
The first dimension is a line. It can move left and right or up and down.
The second dimension is a box. It can now move up and down as well as left and right.
The third dimension is a cube. Now it has width, so you can move back and forwards as well as the other dimensions.
For the fourth dimension, you'd have to square the square, but in geometrical terms you can't really do that, so you'd just call the fourth dimension time (Though I'm not quite sure why.)
The unusual thing is this: Time is more powerful than the others, but it only even moves on one axis: Forward. You can't quite warp it.
This is where the fifth dimension comes in, and, in theory, it would have to do with warping space and time itself, possibly even for traveling (See: A Wrinkle in Time) so for now, we can just call it a tesseract.
Well, there's my explanation
Think of it this way, simply enough.
The first dimension is a line. It can move left and right or up and down.
The second dimension is a box. It can now move up and down as well as left and right.
The third dimension is a cube. Now it has width, so you can move back and forwards as well as the other dimensions.
For the fourth dimension, you'd have to square the square, but in geometrical terms you can't really do that, so you'd just call the fourth dimension time (Though I'm not quite sure why.)
The unusual thing is this: Time is more powerful than the others, but it only even moves on one axis: Forward. You can't quite warp it.
This is where the fifth dimension comes in, and, in theory, it would have to do with warping space and time itself, possibly even for traveling (See: A Wrinkle in Time) so for now, we can just call it a tesseract.
Well, there's my explanation
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#4
X Zolon
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Posted 10 October 2003 - 04:57 PM
Did you get that from a book?
Anyway, Yeah, I wasn't sure which is which, but I'm sure the so called 4D object is just 3D. So time would be 4, and Tesseract, I've always thought of it as a warp, a field, a half existance, not a shape.
And I remember a book in grade 4 I read that said something about that, and the peopel couldn't breathe wen they went into 2D.
Anyway, Yeah, I wasn't sure which is which, but I'm sure the so called 4D object is just 3D. So time would be 4, and Tesseract, I've always thought of it as a warp, a field, a half existance, not a shape.
And I remember a book in grade 4 I read that said something about that, and the peopel couldn't breathe wen they went into 2D.
#5
Kowboy
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Posted 10 October 2003 - 07:08 PM
A hypercube (no relation to hyperfried lol.) is 4 d. You take a 3d square or cube and you connect all the corners of that to another 3d cube. I dont know what program the guy did it in but it gave the 4d view. It was kind of confusing though.
#6
Cspace
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Posted 10 October 2003 - 08:05 PM
The fourth dimension, while it is a theory, has practically been proven by experiments with light. It explains gravity, the bending of light, and would support a number of stranger theories governing the processes of the universe itself.
To picture the fourth dimension a little differently (other than as a hypercube or tesseract), picture a three dimensional net (this is a demonstration of the fourth dimension in three dimensions). The net would be layered:
(Side view:)
______
______
______
Drop an apple or something on it and it will bend (can't do it with characters here). It will create a slight dip, and if you drop a marble near it, it will fall into the apple.
Now drop a bowling ball on the net near the apple. It has more mass, and would create a larger "bend" in the "cosmic" net. The apple would role into the ball because it has more gravitational force.
Now, picture that the bowling ball is a supermassive red giant, and it explodes. Basically a supernova happens when the "fuel" (hydrogen and other small elements usually) runs out or forms other elements such as iron. It collapses, but due to the immense amount of energy it cannot stop, and therefore creates an object of unthinkable density. Now, take the bowling ball out and just pull the net down as far as it would go. Everything would fall in, and as it does the mass would continue to increase (keep dropping bowling balls into it I guess, hehe). Basically what you have seen is a representation of a black hole. Quasars form when black holes consume enough matter to be considered supermassive, and is similar to the same principle as this (which is a very simple representation, don't think that this is all there is to it
).
In conclusion, this is a simple and possible explanation of gravity and bending in the fourth dimension (CurvedSpace ).
The fourth dimension also does not consist of the same uniformity as our three dimension world, which is what causes the measurable bending of light over great distances.
From our understanding of the fourth dimension, other theories such as cosmic strings, wormholes, time travel (separate timelines), and warp speed ("warping" the cosmic net to bring things closer to you, emulating travel many times faster than the speed of light) are now plausible.
To picture the fourth dimension a little differently (other than as a hypercube or tesseract), picture a three dimensional net (this is a demonstration of the fourth dimension in three dimensions). The net would be layered:
(Side view:)
______
______
______
Drop an apple or something on it and it will bend (can't do it with characters here). It will create a slight dip, and if you drop a marble near it, it will fall into the apple.
Now drop a bowling ball on the net near the apple. It has more mass, and would create a larger "bend" in the "cosmic" net. The apple would role into the ball because it has more gravitational force.
Now, picture that the bowling ball is a supermassive red giant, and it explodes. Basically a supernova happens when the "fuel" (hydrogen and other small elements usually) runs out or forms other elements such as iron. It collapses, but due to the immense amount of energy it cannot stop, and therefore creates an object of unthinkable density. Now, take the bowling ball out and just pull the net down as far as it would go. Everything would fall in, and as it does the mass would continue to increase (keep dropping bowling balls into it I guess, hehe). Basically what you have seen is a representation of a black hole. Quasars form when black holes consume enough matter to be considered supermassive, and is similar to the same principle as this (which is a very simple representation, don't think that this is all there is to it
).In conclusion, this is a simple and possible explanation of gravity and bending in the fourth dimension (CurvedSpace
).The fourth dimension also does not consist of the same uniformity as our three dimension world, which is what causes the measurable bending of light over great distances.
From our understanding of the fourth dimension, other theories such as cosmic strings, wormholes, time travel (separate timelines), and warp speed ("warping" the cosmic net to bring things closer to you, emulating travel many times faster than the speed of light) are now plausible.
#7
CongressJon
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Posted 10 October 2003 - 08:51 PM
| QUOTE |
| Did you get that from a book? |
Nope, that was me own
| QUOTE |
| And I remember a book in grade 4 I read that said something about that, and the peopel couldn't breathe wen they went into 2D. |
Well, considering your lungs can't expand or contract in a two-dimensional world, yeah, I'd kind of say that was true
XZ edit: Yeah, that was what I meant.
| QUOTE |
| A hypercube (no relation to hyperfried lol.) is 4 d. You take a 3d square or cube and you connect all the corners of that to another 3d cube. I dont know what program the guy did it in but it gave the 4d view. It was kind of confusing though. |
Yep. I used to play with this thing, Zometool, and it had a Hypercube. Here's a pic of what they say it looks like:
| QUOTE |
| Drop an apple or something on it and it will bend (can't do it with characters here). It will create a slight dip, and if you drop a marble near it, it will fall into the apple. |
At a certain museum, I saw a short movie about something like that. I think it was about black holes
Can't quite remember.| QUOTE |
| In conclusion, this is a simple and possible explanation of gravity and bending in the fourth dimension (CurvedSpace ). |
Well, that certainly clears up a lot
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#8
X Zolon
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Posted 10 October 2003 - 09:02 PM
Cspace, sometimes you amaze me.
Oh wait, I mean.. you've always done that
Anyway, so, if we ever do aquire time travel, then that would mean that we are the first timeline, because if we were teh second or third, we would have seen people form the future by now.
Oh wait, I mean.. you've always done that
Anyway, so, if we ever do aquire time travel, then that would mean that we are the first timeline, because if we were teh second or third, we would have seen people form the future by now.
, actually you are one of the smartest people I know. 
#11
Cspace
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Posted 10 October 2003 - 09:54 PM
| QUOTE |
| Anyway, so, if we ever do aquire time travel, then that would mean that we are the first timeline, because if we were teh second or third, we would have seen people form the future by now. |
Not exactly, according to Einstein and other scientists, they say that every body in the universe is its own timeline. It's very hard to explain, but I can try:
According to Einstein, the closer a body is to reaching the speed of light, the slower time moves for the body. He said that at the speed of light, time would stop for the body in motion in relation to other slower moving objects. This is supposedly true for photons of light, which move at 186,000 miles per second (speed of light, or constant).
So if someone left Earth and traveled for a while at the speed of light, when he/she got back everyone would be older except him/her. Time would stop relatively for the person, while it progresses for everyone else (don't relate this to how looking at distant objects is like looking back in time, for that's only related to the speed at which light travels and the fact that light is all you percieve of the object).
This is impossible, though, with our current understanding of physics. Einstein explained how an object's mass would increase infinitely until it reaches the speed of light, when it would have infinite mass (part of his theory of relativity). This is possible for a photon, which supposedly does not have actual mass, though would prevent light-speed travel for anything else (not to mention that the acceleration would crush a person unless he/she waited for it to accelerate for a looong time).
An experiment involving the flight of two accurate clocks in planes traveling in opposite directions supports this theory, for they came back displaying slightly different times. Anything could have caused this though, but it's something neat to think about.
(edit: I just remembered that the clocks were in planes, not launched in space)
Anyway, that's kinda what Einstein said, but obviously another brief summary for an extremely complicated subject.
#12
CongressJon
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Posted 10 October 2003 - 09:56 PM
I sort of understand it. Sort of
When I read Ender's Game (Orson Scott Card), it gave an explanation almost exactly like this. If you were traveling for say, 50 years in the outside world, you would age maybe a year or two in the time it took to get there. If you were to travel faster than light, you would practically be playing with space and time itself. In theory, that would be what would make you age slower.
When I read Ender's Game (Orson Scott Card), it gave an explanation almost exactly like this. If you were traveling for say, 50 years in the outside world, you would age maybe a year or two in the time it took to get there. If you were to travel faster than light, you would practically be playing with space and time itself. In theory, that would be what would make you age slower.
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#14
CongressJon
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Posted 10 October 2003 - 10:00 PM
"'If only if only', the woodpecker sighs. 'The bark of the tree were as soft as the skies.'"
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-Louis Sachar, Holes
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