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Thread: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

  1. #1
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    Default This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds (ARTICLE LINK)

    Excerpt
    Here's something you've probably never thought much about: Is there a way to get a round disk through a smaller square hole in a piece of paper?

    It seems silly, right? Of course not, you say! It's impossible!

    Well, not always, according to this video by Numberphile featuring a mathematician from Stanford University, Tadashi Tokieda. If you fold it up just the right way, the round object will go through easily.

    But why?

    According to Tokieda, "It has to do with the intrinsic, or inner dimensions of the sheet of paper, which is two dimensions, and the fact that the sheet evolves and flourishes in the three dimensional space."

    Still confused? We don't blame you.

    Basically, by messing with the paper (but not breaking it), you can create a straight line out of two of the four sides of the square.

    Move it in the right way, and boom – you've got yourself a big hole to put the disk through. But the cool bit is that moving it the right way means moving the 2D paper into the 3D plane by folding it up off the table.

    "When we do this manoeuvre, you are allowing the whole thing to come out into 3D, and then come back down," Tokieda explains in the video.

    "The fact you can escape into the ambient third dimension and come back in… gives you this wonderful magic."

    The pictures really help if you're not getting it, so we recommend checking out the video below to see the experiment in action.

    If you need us, we'll be at the bar, betting our friends that we can fit a large round coaster through a smaller square hole in a sheet of paper.


    #include [std-disclaimer]

    Hope the voyage is a long one.
    May there be many a summer morning when,
    with what pleasure, what joy,
    you come into harbors seen for the first time...

    Ithaka, by Cavafy
    (Keeley - Sherrard translation)

  2. #2
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    literally bending space
    "If you think you are too small to make a difference, try sleeping with a mosquito"

    -Dalai Lama

  3. #3
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    “escape into the ambient third dimension”

    I’m going to tap my heels three times

  4. #4
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    This is Grandpa food to amaze and mystify!!!

    Wonder when my grandson gets payed from his job???
    PaulF

  5. #5
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    Haven't you ever wondered how a quarter fell thru the dime size hole in your pocket? Not sure I see the great mystery here.

  6. #6
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    Quote Originally Posted by ron ll View Post
    Haven't you ever wondered how a quarter fell thru the dime size hole in your pocket? Not sure I see the great mystery here.
    Also how a snake can swallow a whole chicken. But it's fun to make teens think..I would love to have him say Grandpa, I see a way to do it! And he may just do that, bright kid!
    PaulF

  7. #7
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    Grandpa tricks?

    If the lad or lass is young enough, and curious enough you can drop the line about turning your head fast enough to look in your own ear, and then just watch and smile...

  8. #8
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    Quote Originally Posted by Canoeyawl View Post
    Grandpa tricks?

    If the lad or lass is young enough, and curious enough you can drop the line about turning your head fast enough to look in your own ear, and then just watch and smile...
    Perhaps 13 years ago, but these kids are sharp as a tack, and picking up new material every day. My grandson (17) is getting his General pilots license and on the High school Robotics team.

    Ya gotta pick your tricks carefully.
    PaulF

  9. #9
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    This is good bar bet material.
    I rather be American than a Republican.

  10. #10
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    I remember pushing a quarter through a nickel sized hole, or nickel through dime or...

  11. #11
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    Damn! That's 40 minutes I'll never get back, but I'm going back for more! Fascinating fella!

  12. #12
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    Default Re: This Video of a Disk FittingThrough a Tiny Square Hole Is Messing With Our Minds

    If you think about it a bit longer, you may see that this is not about fitting a circle through a square hole. It is, in fact, a bit dishonest. Just as dishonest as folding the circle into a half circle and dropping it through the true square.
    Tom L

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