不同方法摺紙,厚度有否不同?

2006-12-03 3:54 am
我想問下
假設我有10張紙(不論是什麼紙)
一張一張地對摺n次,之後放在一起及
10張紙放在一起對摺n次
兩者的厚度有否不同????
(n次>3次)

回答 (3)

2006-12-03 4:20 am
✔ 最佳答案
一張紙最多只可以對摺9次,唔信的話,你可以試下,冇分大細
所以你所講的n次,最多都係9次ja
如果10張紙的對摺次數係一樣,厚度應該會一樣
如果對摺次數唔一樣,厚度就唔會一樣

2006-12-04 19:38:20 補充:
係的..我記錯左,thx如果好多張紙一齊摺,紙與紙之間會有一個排斥力之類的力量我講簡單d..一張紙被對摺之後,冇可能會貼實晒架嘛張紙會彈番起來,果度會有種力將第二張紙推開左少少,就好似彈弓的原理紙愈推愈出,如果紙的數量太多,某個數目開始,d紙就冇可能摺到了
2006-12-22 8:01 pm
THX A LOTS~
2006-12-03 5:19 am
one piece of paper should only be folded 7 times, but not 9 times as mentioned by the other person, you can try if you dont believe

as there is a maximum for folding one paper, the maximum for folding 10 paper would be even much smaller, let say 5 times (actually should be even less times, you can try yourself, i have tried 3 paper, and the maximum time is already 6 times)

let the thickness of one paper be t

Case1: fold 10 paper individually for 7 times, and put them together
the final thickness= (t x 2 to power 7) x 10 paper = 1280 t

Case2: fold 10 paper together for 5 times
the final thickness= (t x 10 paper )x 2 to power 5 = 320 t

obviously, you can have a larger thickness in case 1 than case 2 as 1280 t > 320t

2006-12-02 21:31:49 補充:
this is mainly due to the stress applied to the paper cannot exceed the elastic limit of the paper for it to deform, and at the same time less than the breaking point of the paper

2006-12-02 21:35:39 補充:
as the paper is not an elasitc substance, when you keep on folding it, the folding stress applied, is used to acculmate to deform the paper, but still not deforming it to be able to be folded.

2006-12-02 21:35:49 補充:
in the caes that you fold 10 paper together, the stress is shared among 10 paper to acculmulate to deform all of them, so you can fold them for less time


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