A piece of paper can be folded up to 9 times. A piece of paper can be folded up to several times. I accidentally saw this question @ @ @ dizzy ... and replied that it can only be folded up to 9 times! Strange, isn't it, I think; But after reading the analysis, I also understand.

Mathematical analysis:

After each folding, the paper area becomes the original 1/2, and the number of layers doubles.

So after 9 folds, the area becomes the 9th power of (1/2); And the number of layers becomes the ninth power of 2, which is 5 12.

Suppose a piece of paper is folded in half for nine times and its length and width are 10 cm, then its original length and width are 5 120 cm, that is, 51m. Even if your paper is this big, it is difficult to have 5 12 layers on 10 cm.

When a piece of paper is folded 9 times, it means that the paper is folded into 565,438+02 layers, the size of which is 1/2 of the original area, and there are 256 layers of paper at the corner to prevent it from folding. If it is very large and thin paper, the number of folds will not exceed 9 times, and the total thickness of the paper after 9 folds is 5 12 times that of a single sheet of paper. If it can be folded 50 times in theory, the total thickness is 50 times of the original thickness ... scary, if the original thickness is 0.045mm and the total thickness is about 4,500km, believe it? If you don't believe me, do the math yourself. If it is ordinary writing paper about A4 size, try it no more than 8 times.