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Thread: Folding paper

  1. #1
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    Folding paper

    ***WALL O' TEXT WARNING ***
    If you don't like reading long posts that involve 8½x11 paper and some math, do NOT read.

    I was talking with some friends, and one of them brought up an interesting theory, that is, the thickness of an 8½ by 11 piece of paper folded in half 50 times would reach the sun. I found this hard to believe, of course, so I did some math to prove it.

    The basic idea is that the thickness of the paper doubles every time you fold it. Let's say I folded a piece of copy paper (0.1 mm thick) 10 times. That would be

    0.1*2*2*2*2*2*2*2*2*2*2 mm

    or

    0.1(2^10)

    or

    about 10.24 cm thick.

    It follows that the basic equation is

    thickness(2^number of folds).

    Now we'll apply this to a piece of paper folded 50 times.

    0.1(2^50)

    Which turns out to be

    about 69,960,176.7 miles thick.

    That's not quite the distance to the sun, which is about 91.3 million miles. Disappointing, right?

    Wrong.

    Let's calculate this out using the thickness of 10 pt cardstock (0.25 mm).

    0.25(2^50)

    174,900,442 miles.

    That's almost twice the distance to the sun.

    Feel free to calculate this out yourself, it's astounding.
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  2. #2
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    Re: Folding paper

    Next time I have to use a ladder I think I will stand on a piece of paper and fold it a couple of times under myself.

  3. #3
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  4. #4
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    Re: Folding paper

    Good luck folding a piece of paper 50 times.

    EDIT - Too slow .
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  5. #5
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    Re: Folding paper

    That's exponential growth for you. It reminds me of the "wheat (or rice) and chessboard" fable.

  6. #6
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    Re: Folding paper

    Please note the use of the word 'theory'. This is meant to be a fun, hypothetical situation and is impossible in practice.
    Last edited by epicoder; March 14th, 2010 at 08:27 PM.
    Don't use W3Schools as a resource! (Inconsequential foul language at the jump)
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  7. #7
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    Re: Folding paper

    Quote Originally Posted by sh228 View Post
    Please note the use of the word 'theory'. This is meant to be a fun, hypothetical situation and is impossible in practice.
    Damn why didn't you tell us before?
    I have already thrown out all the ladders from the house. Now how will I reach my cookie jar on the top shelf ?

  8. #8
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    Too Thin to See

    The paper would also be too thin to see without a very powerful microscope (11x8½ / 33554432cm or 3.278nm x 2.533nm).

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