a paper is around 0.05 millimeters thick. If you fold it, that becomes 0.10 millimeters thick. If you fold it again, the thickness doubles to 0.2 millimeters. Assuming you had a paper large enough, after 14 folds, the paper is already an inch thick, and from there it grows exponentially, but it also halves in area each time, so by the end it looks like a really thin line.
It's not just the size of the paper that makes it impossible, but also the increasing difficulty of folding multiple layers. You can see this with something even the size of a sticky note. By the fourth or fifth fold the outer layer of the fold has to travel significantly more distance around the inner layers that the fold will not be even. On most paper, even 7 folds is not possible.
Exactly. I believe Myth Busters once set out to prove the commonly held belief that you can't fold any piece of paper more than 7 times no matter its size. They assembled a piece of paper so large it could fill a stadium or something. It still only folded 7 or fewer times.
It’s like that old story about the peasant asking for 1 grain of rice on the first of the month, 2 on the second, 4 on the third, and so on for a month. The king laughs and says sure, but by the 20th day it’s already millions of grains of rice and the king realizes he messed up.
It might be easier to visualise if you imagine you are stacking sheets of paper on top of each other, really that's all you're doing when folding.
After the first fold you've stacked 1 sheet on top of another to get 2 sheet. On the second fold you're stacking 2 sheets on top of 2 bricks to get 4 sheets. Then the next fold would be 8 sheets and so on. Doubling like this by the time you've done 42 folds you've got a tower of over 4 trillion sheets.
Paper might be thin but even just stacking 100 sheets gives you block, imagine what 4 trillion sheets would look like.
Another way to think about it. Genealogy. Every person has two parents. Each of those parents is a person, who in turn have two parents.
How many people in that generation and how many people overall related to the initial person?
First generation: 1, the self
Second generation: 2, 3 total now including the parents
Third generation: 4, 7 total
Sixth generation: 32, 63 total
Ninth generation: 256, 511 total
Each generation is doubled, so it's exponential..
Check my maths, but this means that from the 1st to 32nd generation, you have 2^33 people, 8.58 billion, which is more than the population of the earth right now (the actual population at the time of your 33rd generation back was significantly smaller).
The 33rd generation has that many people in just that one generation.
Many of the branches of your ancestry, if you kept going backwards, would link to each other (children of the same couple). The British Royal Family has a famous example of this only a few generations back.
It’s because we tend to visualize the folding 42 times as doing the same action 42 times (doubling a single layer x 42), while it’s actually 42 different actions (doubling 1 layer + doubling 2 layers + doubling 4 layers + … + doubling 2^41 layers).
10/10! 16th best score all time! I was a bit iffy on #4 & #10 though. Got lucky there. I recently read a book mentioning the Terracotta Army, and I'd just seen something about Cranston, which made it easier to get those two
Nooooooooooooooooooo!!!!!!!! I happened to know them all and I was going fast but took too long reading the last question and ended with 9899. Oh well, 9900 will have to come another day.
Haha you bring up excellent points, it's a very hard number to conceptualize. I guess if you stacked up all the dollar bills NVIDIA is worth you'd get close to the moon
Lack of celebrity/actor knowledge got me on 1 and 6.
After the first fold you've stacked 1 sheet on top of another to get 2 sheet. On the second fold you're stacking 2 sheets on top of 2 bricks to get 4 sheets. Then the next fold would be 8 sheets and so on. Doubling like this by the time you've done 42 folds you've got a tower of over 4 trillion sheets.
Paper might be thin but even just stacking 100 sheets gives you block, imagine what 4 trillion sheets would look like.
How many people in that generation and how many people overall related to the initial person?
First generation: 1, the self
Second generation: 2, 3 total now including the parents
Third generation: 4, 7 total
Sixth generation: 32, 63 total
Ninth generation: 256, 511 total
Each generation is doubled, so it's exponential..
Check my maths, but this means that from the 1st to 32nd generation, you have 2^33 people, 8.58 billion, which is more than the population of the earth right now (the actual population at the time of your 33rd generation back was significantly smaller).
The 33rd generation has that many people in just that one generation.
Many of the branches of your ancestry, if you kept going backwards, would link to each other (children of the same couple). The British Royal Family has a famous example of this only a few generations back.
Hold on, what a rhyme, how sublime!