# A bit of origami

Mizuki is an expert origami (if that word exists) Japanese and says he has the world record of folding a paper in half with 42 folds. Some experts doubt the veracity of their claims since there is no evidence that they have achieved such a feat.

We have consulted several mathematical experts who have made some estimates “In the eye of a good cubero” and they have told us the following

• If we could fold a paper 42 times, it would have a thickness equal to the length of a soccer field.
• By folding a paper 42 times, it would be as large as the entire known universe.
• If we could fold a paper 42 times we would cover the distance from the earth to the moon.
• If it were possible to fold it 42 times, it would be as big as the earth.

Who has the reason?

#### Solution

If we used a paper of standard thickness: 0.05mm and we were able to fold it 42 times, we would cover a distance of 445.644.8Km, which is something more than maximum distance from the earth to the moon.

Interestingly, if we were able to fold that same paper up to 103 times, it would be as thick as the entire known universe.