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1-D, 2-D, 3-D, 4-D

Discussion in 'BBS Hangout' started by SuperBeeKay, Apr 13, 2012.

  1. SuperBeeKay

    SuperBeeKay Member

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    <iframe width="420" height="315" src="http://www.youtube.com/embed/UnURElCzGc0" frameborder="0" allowfullscreen></iframe>

    We learn in school that 1-D is a point. And that 2-d is a stretching of that point in a linear way in one plane.

    3d is obviously easy to grasp since we live in a 3-d world.

    4-d is something very intriguing (i don't know much besides how it's supposedly shaped), but to me, the idea of 2-D is still very perplexing. Ok, I get that 2-D is an extension of 1-D in one plane, but there's actually no existence of a so called 2-D in our world? Think of a sheet of paper. You may think it's 2D, but it's still 3D because no matter how flat it is, there is always a very minute height to that paper.

    So how do you explain 2D's existence in the universe?
     
  2. SuperBeeKay

    SuperBeeKay Member

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    Well I guess I looked it up and sort of found my answer; but it's still very confusing lol

    I guess each dimension shouldnt be looked as a "place" but rather as "directions"
     
  3. Joshfast

    Joshfast "We're all gonna die" - Billy Sole
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  4. Xerobull

    Xerobull ...and I'm all out of bubblegum

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    I've heard NDT talk about this.
     
  5. SwoLy-D

    SwoLy-D Member

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    Well, congrats, 2-D. :eek:
     
  6. crash5179

    crash5179 Member

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  7. Cannonball

    Cannonball Member

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    Well what if you drew a picture on that piece of paper? The ink would absorb into the paper and would have no height. Thus the image would be 2D.

    It's like going to the theater and watching a movie on a screen. The screen itself may have 3 dimensions, but the image projected on it only has two. Even as you're reading this on a computer screen, the text has no actual depth and is 2 dimensional.
     
  8. Joshfast

    Joshfast "We're all gonna die" - Billy Sole
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    via reddit
    [​IMG]
     
  9. Commodore

    Commodore Member

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    <iframe width="420" height="315" src="http://www.youtube.com/embed/JkxieS-6WuA" frameborder="0" allowfullscreen></iframe>
     
  10. StupidMoniker

    StupidMoniker I lost a bet

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    We actually live in a 4-d world, because time is a dimension of space-time.
     
  11. SuperBeeKay

    SuperBeeKay Member

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    but the ink is composed of various small molecule that has width, height, no matter how small.
     
  12. mclawson

    mclawson Member

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    Now try to wrap your head around Calabi–Yau manifolds.
     
  13. No Worries

    No Worries Member

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    I got your 4D right here ...

    [​IMG]
     
  14. RedRedemption

    RedRedemption Member

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    If Ink "absorbed" into the paper it would fill the same depth of the paper and + the microscopic amount of matter from the ink itself added to it. So no, technically not 2D.
     
  15. RedRedemption

    RedRedemption Member

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    True, but we cannot manipulate time innately. We can only interact and perceive the world in 3D no matter how hard we try. :(
     
  16. Zackery

    Zackery Member

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    Do you guys think ants think of the Earth as round?

    Ants sort of live in a 2 dimentional world, because they are so small. Even though they are able to climb up a tree and hence travel in all 3 dimentions, because they are so small, they probably have no idea about the shape of the Earth.

    They must think that everything in the world is flat. Even a tree trunk, etc. they they cannot see and therefore comprehend the entire thing.
     
  17. FranchiseBlade

    Supporting Member

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    Maybe, but I don't really think our height is what helps humans comprehend 3 dimensions.
     
  18. RedRedemption

    RedRedemption Member

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    Ants can't think period. If they were able to reason, then I think the effect of gravity on their bodies would be a hefty indicator of how they perceive the world.

    Of course, they can't think.
     
  19. eMat

    eMat Member

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    Or parameters. A point has 0-D, not 1-D as you stated in the OP. 1-D is a line. If you fix some reference (zero) point on the line, you can then describe any point on the line with just a single parameter (number) that describes how far (and on which side) from the zero point the point in question is. Note that I am not talking only about straight lines, the line can be curved and it will still be 1-D. The reason is that to see this curvature of the line you have to "move up" to two dimensions which in a 1-D world you cannot do.

    Similarly, a surface or a plane (a flat surface) is two dimensional. You can describe any point on a surface with two parameters.

    And 3-D, of course, you know very well. But again, we are used to thinking of space as being flat which does not have to be (and is not) the case to still describe any point in it by three parameters.

    Time is the 4th parameter giving you the 4-D spacetime.
     
  20. heypartner

    heypartner Member

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    So does Homer Simpson.
     

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