What would happen if you fold a paper 48 times?
Supposing that you are able to fold a paper equally in half 'n' number of times. What would the size(width) of the paper be if you fold it 48 times.? Give some work to your brain and share your craziest answers here.(It's thickness is one thousandth of a centimetre. Imagine the paper to be a complete page of a Newspaper).
Replies
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Ankita KatdareI have actually tried that as a school-going kid. I tried folding a newspaper in half as many times as possible. And from what I remember, I couldn't go past the 8th fold. It just became impossible to fold - no matter how large a paper you begin with. 😨
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vinod1993
That's just practical. Bravo, You've done 8 folds for the 8th fold is not easily possible to make.😀 I want a theoretical answer.That's why I wanted you to suppose that a paper can be folded 'n' times.AbraKaDabraI have actually tried that as a school-going kid. I tried folding a newspaper in half as many times as possible. And from what I remember, I couldn't go past the 8th fold. It just became impossible to fold - no matter how large a paper you begin with. 😨 -
clZazylet the thickness of the paper is x(which in our case = 1/1000 cm)
now after first fold it will be doubled, that is = 2x
in this way thickness would be doubled after every fold.
x --> 2x --> 4x --> 8x --> 16x....
this way final width = (2 to the power 48) * x
= (2^48) * 1/1000 cm
= 281474976710.656 cm
or 28,14,749 km approx
which is nearly 7 times the distance of the moon from the earth!! 😨
and that too when we assumed thickness of paper 1/1000 th of a cm, way too less.😉 -
vinod1993Excellent. 😀 But it's 8 times the distance of moon from the earth.Anyway an excellent answer.This is called exponential growth.
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simplycoderIts a myth,
Google up for Britney Galvin...
she has solved this problem. with a mathematical proof.
I tried to do the same with a bus ticket, and even the 7th fold was impossible. -
Kaustubh KatdareSurprisingly, one can't even fold a piece of cloth beyond 5-6 folds. I tried this so many times ever since I was a kid. Just wondering if there's a mathematical explanation to why this doesn't work?
Or can we generalize this to the 'max number of folds'? But I can already imagine any malleable material being folded 1000 times. What am I thinking now? 😨 -
ISHAN TOPRE"As the number of folds increases, the combined thickness also increases 2^n. where n= number of folds "
Your answer lie in above statement. -
vinod1993That was what I meant. I wanted you all to suppose that it can be folded this many times. I just wanted you all to imagine. Practically it's impossible. Everyone might have heard about the famous phrase, "No one can fold a paper more than 7 times" But this myth was broken when high schoolers in UK managed to fold a toilet paper 13 times. Yes, a mathematical relation is given by Britney Galvin. You can also take a look at this.
#-Link-Snipped-# -
Anoop Kumar
Gallivan was able to fold a single 4,000-foot-long piece 😲 of toilet paper in half 12 times, establishing a new record. She also wrote a book, titled âHow to Fold Paper in Half Twelve Times: An âImpossible Challengeâ Solved and Explained.â#-Link-Snipped-#vinod1993Yes, a mathematical relation is given by Britney Galvin. You can also take a look at this.
#-Link-Snipped-#
But this is also uncatogariged as the paper was folded one side only not cross.
Well impossible challenges created to be break. -
Jeffrey Arulrajarbitrary assumptions can only be done here and no practical feasability in this issue
You are reading an archived discussion.
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