How high is it to fold a piece of white paper with a thickness of 0 01mm in half 20 times

The question of this question does not match the reality and is a false proposition. No matter how thin a piece of paper is, it is impossible to fold it in half 20 times under realistic conditions.

The number of folds of paper is related to its area, thickness and hardness, and the slender, soft and thinner paper will be folded more times.

Mechanically speaking, each sheet of paper folded in half doubles in thickness and halves the area. If the thickness of a piece of paper is millimeters, then after 9 folds, the thickness of the paper is about 5 millimeters. As the thickness increases, after being folded seven or eight times, the folded paper will be thicker and the horizontal area will be smaller and smaller.

It is impossible to continue folding in half. The number of paper folds is not much related to the size of the individual's strength, but the smaller the area of the same thickness of paper, the more difficult it is to fold in half.

But the result of 9 times is not unbreakable. We searched on the Internet, and someone once folded a 50-meter-long strip of newsprint in half, up to 10 times, and a 1,000-meter-long strip of newsprint, folded up to 11 times.

It is said that the world record for the number of origami was set by an American who folded 4 kilometers of toilet paper in half and folded it 13 times.

If you're interested, you can also try it out and see if you can break the world record.

The first time: Ji Zheng.

Second Dazhou Acres:

Third: Fourth:

Fifth: The Rolling Forest is so.

The thickness after a fold is 2 1;

The thickness of the folded wheel brother after the second time is 2 2;

The thickness after folding in half three times is 2 3;

The thickness after the five wax stare attacks is 2 5

There is a piece of paper with a thickness of millimeters, and after 20 folds, there will be millimeter thickness = meter thickness.

Fold 20 times is 2 to the 20th power (1048576), and the final result is meters.

A millimeter of paper is folded in half 1 time to make the thickness = after the coincidence

A millimeter of paper is folded in half twice and the thickness of the slippery silver degree =

The thickness of a millimeter of paper after folding it in half 3 times =

The thickness of a millimeter of paper after folding it in half 20 times = millimeters.

After folding n times, the thickness is 2 N times the original.

So the thickness after 20 times is.

The tenth power is used, because it is twice the original thickness after each folding, so this equation is obtained, and the final result is millimeters.