The 7-Fold Paper Dilemma: Is There an Explanation?

  • Context: High School 
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Discussion Overview

The discussion revolves around the phenomenon of folding a sheet of paper, specifically addressing the claim that a standard sheet can only be folded seven times, regardless of its size or thickness. Participants explore scientific reasoning, personal experiences, and anecdotal evidence related to this limitation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that each fold doubles the number of layers, leading to significant thickness by the seventh fold, which could cause tearing.
  • Another participant challenges the seven-fold limit by sharing their experience of folding single-ply tissue paper eight times, suggesting that the material's size and thickness influence the outcome.
  • A participant mentions that thicker paper becomes stiffer with each fold, making subsequent folds more difficult due to the outer layers not stretching.
  • Reference is made to a historical case where a person successfully folded paper more than twelve times and derived an equation related to the folding process.
  • There is a reiteration of the tissue paper example, with a distinction made that tissues, while shaped like paper, are not made of the same material.

Areas of Agreement / Disagreement

Participants express differing views on the folding limit, with some supporting the seven-fold claim while others provide counterexamples and suggest that material properties play a significant role. The discussion remains unresolved regarding the definitive limits of folding paper.

Contextual Notes

Participants highlight the dependence on the type of paper and its thickness, as well as the potential for distortion and tearing with increased folds. There are unresolved assumptions regarding the definitions of "paper" and the conditions under which folding occurs.

_Mayday_
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Hey, well recently I've found out at the late age of 17, that you can only fold a sheet of paper 7 times over, no matter how thin, or large the piece of paper is. Is there any scientific reasoning behind this? I can't think of anything??
 
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Have you tried this with single-ply tissue paper? I just doubled a single ply from a Scotties tissue 8 times with no problem. Tissues are small. If the sheet was larger or if the sheet was thinner, it would have been easy to get more folds in.
 
CrawfordK said:
Hey, well recently I've found out at the late age of 17, that you can only fold a sheet of paper 7 times over, no matter how thin, or large the piece of paper is. Is there any scientific reasoning behind this? I can't think of anything??
For relatively thick paper, with each fold the paper becomes stiffer and the outer layer(s) will not stretch and thus each subsequent fold is harder.
 
Cheers, I get it now.
 
Read about http://www.pomonahistorical.org/12times.htm" who not only folded papers more than 12 times in half, but derived an equation that yielded the width of paper, W, needed in order to fold a piece of paper of thickness t any n number of times, all while she was in junior high school.
 
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turbo-1 said:
Have you tried this with single-ply tissue paper? I just doubled a single ply from a Scotties tissue 8 times with no problem. Tissues are small. If the sheet was larger or if the sheet was thinner, it would have been easy to get more folds in.

Tissues are not made of paper. They are only in the shape of paper.
 

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