# Folding paper in half

**URL:** https://boards.straightdope.com/t/folding-paper-in-half/402040
**Category:** Factual Questions
**Created:** [April 29, 2007, 12:56pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040 "2007-04-29T12:56:57Z")
**Posts on this page:** 20
**Page:** 1

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### Author: ![chowder](https://avatars.discourse-cdn.com/v4/letter/c/977dab/32.png) [@chowder](https://boards.straightdope.com/u/chowder)
#### Post date: [April 29, 2007, 12:56pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/1 "2007-04-29T12:56:57Z")

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I was always lead to believe that it was impossible to fold paper in half more than 7 times but a friend of mine maintains that some girl has managed to fold it 12 times.

I can’t find anything about this, anyone any knowledge?

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### Author: ![Khadaji](https://avatars.discourse-cdn.com/v4/letter/k/9e8a1a/32.png) [@Khadaji](https://boards.straightdope.com/u/Khadaji)
#### Post date: [April 29, 2007, 1:02pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/2 "2007-04-29T13:02:47Z")

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Mythbusters included it on one of their shows and they were able to do it with a piece of paper the size of a warehouse. I may recall incorrectly, but I thought the girl did 11 and Mythbusters did 12.

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### Author: ![picunurse](https://avatars.discourse-cdn.com/v4/letter/p/7bcc69/32.png) [@picunurse](https://boards.straightdope.com/u/picunurse)
#### Post date: [April 29, 2007, 1:10pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/3 "2007-04-29T13:10:05Z")

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IIRC, the girl didn’t fold squares, she folded lengthwise. Mythbusters folder a sheet several hundred feet square It was episode [72](http://dsc.discovery.com/fansites/mythbusters/episode/episode_02.html) here.

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### Author: ![DSYoungEsq](https://avatars.discourse-cdn.com/v4/letter/d/c6cbf5/32.png) [@DSYoungEsq](https://boards.straightdope.com/u/DSYoungEsq)
#### Post date: [April 29, 2007, 1:29pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/4 "2007-04-29T13:29:24Z")

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[Uncle Cecil addresses the issue.](http://www.straightdope.com/classics/a910705.html)  
[Uncle Cecil’s answer edited and archived](http://www.straightdope.com/classics/a4_241.html)

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### Author: ![A.R.Cane](https://avatars.discourse-cdn.com/v4/letter/a/ee7513/32.png) [@A.R.Cane](https://boards.straightdope.com/u/A.R.Cane)
#### Post date: [April 29, 2007, 1:44pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/5 "2007-04-29T13:44:18Z")

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My dad challenged me w/ this when I was a kid. I even got a large sheet of onionskin, but still couldn’t do it.

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### Author: ![chrisk](https://avatars.discourse-cdn.com/v4/letter/c/6de8d8/32.png) [@chrisk](https://boards.straightdope.com/u/chrisk)
#### Post date: [April 29, 2007, 1:57pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/6 "2007-04-29T13:57:57Z")

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as far as I know, there’s no inherent limit, but it’s one of those things that gets more than twice as difficult to achieve every fold as the previous one 😃

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### Author: ![Colophon](https://avatars.discourse-cdn.com/v4/letter/c/f05b48/32.png) [@Colophon](https://boards.straightdope.com/u/Colophon)
#### Post date: [April 29, 2007, 2:28pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/7 "2007-04-29T14:28:33Z")

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[Twelve times](http://www.pomonahistorical.org/12times.htm).

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### Author: ![chowder](https://avatars.discourse-cdn.com/v4/letter/c/977dab/32.png) [@chowder](https://boards.straightdope.com/u/chowder)
#### Post date: [April 29, 2007, 4:04pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/8 "2007-04-29T16:04:41Z")

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[QUOTE=Colophon]  
[Twelve times](http://www.pomonahistorical.org/12times.htm).  
[/QUOTE]

…smart and HOT!

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### Author: ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)
#### Post date: [April 29, 2007, 5:07pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/9 "2007-04-29T17:07:25Z")

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I never actually calculated the exact length needed, like Ms. Gallivan did, but it always bugged me when people said that it was absolutely impossible, or worse, that it had been mathematically proven to be impossible. Anyone who thinks about the problem briefly should be able to conclude that, for any arbitrary number of folds, there exists some sufficiently large and thin paper which can be folded that many times. Such a paper may be impractically large, but there’s a huge difference between “impractical” and “impossible”.

Which is not to say that Ms. Gallivan doesn’t deserve the credit she gets. Not only did she rigorously derive the formula, but she also went and actually did it. Either one would be notable, but that combination of theory and experiment is rarely found in an individual.

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### Author: ![Red\_Barchetta](https://avatars.discourse-cdn.com/v4/letter/r/da6949/32.png) [@Red\_Barchetta](https://boards.straightdope.com/u/Red_Barchetta)
#### Post date: [April 29, 2007, 5:37pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/10 "2007-04-29T17:37:36Z")

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Am I the only one who always interpreted this myth to mean a standard 8.5 by 11 sheet of paper?

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### Author: ![Walloon](https://avatars.discourse-cdn.com/v4/letter/w/fbc32d/32.png) [@Walloon](https://boards.straightdope.com/u/Walloon)
#### Post date: [April 29, 2007, 7:51pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/11 "2007-04-29T19:51:49Z")

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Is it possible to fold any more than eight sheets of paper (once), and get them to stay folded? In publishing, “signatures” of paper sewn or glued together to make a book are always eight sheets thick, no fewer, no more. (Eight sheets folded make 16 leaves, or 32 pages.)

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### Author: ![DSYoungEsq](https://avatars.discourse-cdn.com/v4/letter/d/c6cbf5/32.png) [@DSYoungEsq](https://boards.straightdope.com/u/DSYoungEsq)
#### Post date: [April 30, 2007, 4:56am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/12 "2007-04-30T04:56:44Z")

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[QUOTE=Walloon]  
Is it possible to fold any more than eight sheets of paper (once), and get them to stay folded? In publishing, “signatures” of paper sewn or glued together to make a book are always eight sheets thick, no fewer, no more. (Eight sheets folded make 16 leaves, or 32 pages.)  
[/QUOTE]

My understanding is that that practice comes from how the original sized paper is folded, not because of any inherent limitations on how many sheets can be folded over.

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### Author: ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)
#### Post date: [April 30, 2007, 7:32am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/13 "2007-04-30T07:32:39Z")

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It depends on your definition of ‘fold’. After so many iterations, it’s not a _fold_ anymore, it’s a _bend_.

On the first turn, you’re attempting to double over one sheet  
On the second turn, you have two sheets  
On the third, you have four sheets  
On the fourth, you have eight sheets  
On the fifth, you have sixteen sheets  
On the sixth, you have thirty-two sheets  
On the seventh, you have sixty-four sheets

So on the eighth fold, quite apart from all the distortion and puckering that arises from previous folds, you are attempting to fold a stack of one hundred and twenty-eight sheets of paper in half. I say this is impossible to do anyway, not because of the size of the item you’re working with, but simply because it’s impossible to fold 128 sheets of paper neatly in half all together - the ones on the outside will not be folded, they’ll just be bent around the rest of the bundle. Furthermore, the difference in radius between the inside of the bend and the outside causes the inner sheets to be squeezed out.

Try it with 128 sheets of new, A3 copier paper - it’s impossible to produce anything that can be respectably described as a ‘fold’

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### Author: ![Walloon](https://avatars.discourse-cdn.com/v4/letter/w/fbc32d/32.png) [@Walloon](https://boards.straightdope.com/u/Walloon)
#### Post date: [April 30, 2007, 8:07am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/14 "2007-04-30T08:07:30Z")

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I think you’re misunderstanding my question. I said _one_ fold, not eight. Is it possible to fold more than eight sheets of paper _once_. (Or are you addressing the original post?)

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### Author: ![Critical1](https://avatars.discourse-cdn.com/v4/letter/c/3e96dc/32.png) [@Critical1](https://boards.straightdope.com/u/Critical1)
#### Post date: [April 30, 2007, 8:15am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/15 "2007-04-30T08:15:09Z")

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well I know where you can get a piece of paper around 5 miles long…gonna be kinda hard to fold something that long no matter what though.

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### Author: ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)
#### Post date: [April 30, 2007, 8:17am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/16 "2007-04-30T08:17:58Z")

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I was addressing the OP. Sorry if that wasn’t clear, but actually, what I’m saying concurs, in terms of mechanics, with you on the signatures thing (BTW I work in the publishing trade).  
If you try to fold too many sheets at once, not only will they not lay flat, but the inner pages are forced away from the spine. More than a few sheets at a time and it’s just not possible to get a sharp fold.

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### Author: ![chowder](https://avatars.discourse-cdn.com/v4/letter/c/977dab/32.png) [@chowder](https://boards.straightdope.com/u/chowder)
#### Post date: [April 30, 2007, 8:58am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/17 "2007-04-30T08:58:59Z")

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[QUOTE=Mangetout]  
I was addressing the OP. Sorry if that wasn’t clear, but actually, what I’m saying concurs, in terms of mechanics, with you on the signatures thing (BTW I work in the publishing trade).  
If you try to fold too many sheets at once, not only will they not lay flat, but the inner pages are forced away from the spine. More than a few sheets at a time and it’s just not possible to get a sharp fold.  
[/QUOTE]

So you are saying that it is impossible to fold a sheet of paper IN HALF more than 7 times no matter the size of the paper

Which is what I always believed

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### Author: ![Colophon](https://avatars.discourse-cdn.com/v4/letter/c/f05b48/32.png) [@Colophon](https://boards.straightdope.com/u/Colophon)
#### Post date: [April 30, 2007, 10:34am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/18 "2007-04-30T10:34:05Z")

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I meant to add, earlier, that this question is convincing me yet further that some weird higher power is at work… coincidences seem to be everywhere. It was only about 4 or 5 days ago that I was reading something about the “folding paper in half” myth and followed the link to the woman that had managed 12 folds. Then almost immediately, what do you know, a question about it comes up on here, so I was able to give the link straight away from my IE history. This kind of thing happens so often it is beginning to freak me out – I come across a word, place, or item that I have either never heard of, or not even thought about in years and years, and suddenly it pops up again within a day or two. 🙂

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### Author: ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)
#### Post date: [April 30, 2007, 10:47am UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/19 "2007-04-30T10:47:24Z")

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[QUOTE=chowder]  
So you are saying that it is impossible to fold a sheet of paper IN HALF more than 7 times no matter the size of the paper

Which is what I always believed  
[/QUOTE]

Pretty much - I’d say even the seventh and possibly sixth folds are borderline.

Anything thin and elastic (elasticity being needed to overcome the inner/outer radius problem) enough to be folded in half more than seven times almost certainly doesn’t qualify as ‘paper’.

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### Author: ![DSYoungEsq](https://avatars.discourse-cdn.com/v4/letter/d/c6cbf5/32.png) [@DSYoungEsq](https://boards.straightdope.com/u/DSYoungEsq)
#### Post date: [April 30, 2007, 12:09pm UTC](https://boards.straightdope.com/t/folding-paper-in-half/402040/20 "2007-04-30T12:09:05Z")

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[QUOTE=Mangetout]  
Pretty much - I’d say even the seventh and possibly sixth folds are borderline.

Anything thin and elastic (elasticity being needed to overcome the inner/outer radius problem) enough to be folded in half more than seven times almost certainly doesn’t qualify as ‘paper’.  
[/QUOTE]

Except, of course, that, as shown in the linked sites, it’s been done. With paper, too, as I understand it, not Uncle Cecil’s adaptation…  
Indeed, if one bothers to read the link, there is even a mathematical model for showing the limit on folding…

[Next page](https://boards.straightdope.com/t/folding-paper-in-half/402040.md?page=2)
