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can an object of 2 dimensions exist in a 3 dimensional world? if it could, what would the result of that 2 dimensional object be?
A universe of 1 dimension offers no space to observe through its mere existance...?
What would happen if there was no fourth dimension (time)?
Really flat.Quote:
can an object of 2 dimensions exist in a 3 dimensional world? if it could, what would the result of that 2 dimensional object be?
True.Quote:
A universe of 1 dimension offers no space to observe through its mere existance...?
We'd all stay young and beautiful.Quote:
What would happen if there was no fourth dimension (time)?
:confused: What brought on these questions?
>can an object of 2 dimensions exist in a 3 dimensional world? if it could, what would the result of that 2 dimensional object be?<
A 2d object can exist in a 3d world. If your were to look at the object straight at it's face it would apear normal. If you were to rotate the object so that the face is 90 degres to you the object would disapear.
>A universe of 1 dimension offers no space to observe through its mere existance...?<
Correct.
>What would happen if there was no fourth dimension (time)?
Nothingness
Has it even been truly established that Time is a 4th dimension? It just doesn't seem right to me...
Time is an unobservable dimension.
Just because something can't be seen by the naked eye doesn't mean that it doesn't exist.
no matter how flat the object is it still has depth and is therefor three dimensional.Quote:
Really flat.Quote:
can an object of 2 dimensions exist in a 3 dimensional world? if it could, what would the result of that 2 dimensional object be?
that is complete bullshingles.Quote:
Sentaku Senshi falsely claimed:
A 2d object can exist in a 3d world. If your were to look at the object straight at it's face it would apear normal. If you were to rotate the object so that the face is 90 degres to you the object would disapear.
If the object dissapears when one looks at it from a "90degree angle" the object does not exist.
and how could you turn the object to look at it? it is 2 dimensional. Turning the object would imply that it has SOME depth. Also, by turning the object, you GIVE it depth (at least in your reference point).
Read this. Wait until he gets to the part about time travel.
[literal jackass]
if i wait for him to get to that part, he would have to be here in front of me reading the book in so i could wait and still be progressing through the book. If i simply waited for me to get to that point in the book, i would be waiting for eternity, because i would never make any progress in the book, let alone progress to the part that discusses time travel.
[/literal jackass]
anyway, it may herald a look... or a read.
A plane, by definition, is two dimensional. And it can exist in a three dimensional context. It's hard to conceptualize, because you're not used to thinking of things in that manner.Quote:
no matter how flat the object is it still has depth and is therefor three dimensional.
The key word there is 'your reference.' You're right, a plane may appear three dimensional depending on your view point, but that doesn't mean that it's not really two dimensional. Kinda like how a drag queen appears to be female from your reference, but in actuality (s)he's got an Adam's apple and, uh, other equipment. :)Quote:
Turning the object would imply that it has SOME depth. Also, by turning the object, you GIVE it depth (at least in your reference point).
As for the time travel, granted, it may never be practically possible but, theoretically (at least through some quirky mathematics), it is possible. I for one don't think that we'll ever achieve any sort of HG Wells-ian time machine, but it still makes some interesting reading.
Yes, a 2D object exists in 3D world (at least in math). that would be something like a plane, line, etc. For example, a line in the form of
y = mx + b is the same as y = mx + b + 0 * z...
[Pulls out graphing calculator]
you can graph a line in 3D view here :)
I don't know how this applies in reality (for us), since everything that's here is 3D as far as we perceive it.
Not always. a 2D object has no depth, that's y it's 2d, in a 3d world, a 2d object would be only seen from 2 view points(the two sides) as soon as you turn the 2d object and look at it from the side, it would dissapear, becuase it doesn't have a Z coordinate for the 3d world to show.Quote:
no matter how flat the object is it still has depth and is therefor three dimensional.
in mathematical terms:
http://mathworld.wolfram.com/
and on 4th dimensional geometry:
http://mathworld.wolfram.com/topics/...lGeometry.html
it's all good when you know where to look for reference at times...
maybe...
You are not looking at the concept of dimension properly. You can say and be perfectly accurate that pretty much anything that can change is a dimension. All a dimension is a variable, or a "freedom", kinda. Your height, how many sixpacks you have liberated, etc. Time is not THE fourth dimension, but just yet another dimension that is commonly unified with the spatial dimension for convenience in physics.Quote:
What would happen if there was no fourth dimension (time)
[overwhelmed]
that just gave me one heck of an idea:
if the first dimension were to decease, I mean to be destroyed somehow, then all would be of non existance.
wonderful idea, eh?
[/overwhelmed]
good idea toaster, any idea of how we do that? if we do it, maybe, just maybe, it will stop bush from attacking iraq:D
Shadows are 2-dimensional... :)Quote:
Originally posted by dbaryl
Yes, a 2D object exists in 3D world (at least in math). that would be something like a plane, line, etc. For example, a line in the form of
y = mx + b is the same as y = mx + b + 0 * z...
[Pulls out graphing calculator]
you can graph a line in 3D view here :)
I don't know how this applies in reality (for us), since everything that's here is 3D as far as we perceive it.
>>Time is not THE fourth dimension, but just yet another dimension that is commonly unified with the spatial dimension for convenience in physics.<<
Indeed, time is not the 4th dimension, the 4th dimension is external space - it includes four things: width, length, volume, time. Commonly it is just known as space-time.
A 2D can exist in a 3D world. The 2D would consist of only width and length - there is no observable volume. Think of when you watch a cartoon, or look a line you've drawn on a piece of paper.
In mathematics, I believe the answer to the question can an n dimensional object exist in an m dimensional world is yes. The interesting thing is what the "intersection" looks like. The question has no real meaning outside of math and physics as all real objects are 3D.
As to whether time is the "4th" dimension, yes, if your doing physics within the frameword of relativity. However, this is somewhat contrived as a method of defining simultaneity. Light travels at a constant velocity in free space so one can measure time as distance. Mapping the result into a 4 manifold (4 space) allows geometric solutions of physics problems. One example is the reduction of the 64 terms of mathmatical curvature in 4 space into only 16 terms in the Einstein curvature tensor via a geometric identity. (A 4 x4 x4 matrix of curvature terms collapses to a 4 x 4 matrix.)
Personally, I'm not entirely convinced that relativity is an actual physical model of the universe, but untill something better comes along it's really the only game in town.
Quote:
that is complete bullshingles.
If the object dissapears when one looks at it from a "90degree angle" the object does not exist.
and how could you turn the object to look at it? it is 2 dimensional. Turning the object would imply that it has SOME depth. Also, by turning the object, you GIVE it depth (at least in your reference point).
End Quote.
When a two deminsional object is rotated it does not disappear, but would become a one deminsional obect fro the perspective of the observer.
Experiment: Take something thin and flat that has length and width (like paper), rotate it until all you see is the edge (so that you can not see either side) all you will see is a line which is a one deminsional object.
Maybe, but don't forget the fifth dimension
Let the sun shine in...
While we're at it. There's a sixth sense. It means you can see dead people.