Ebs 클립뱅크 - Clipbank - 거듭제곱 - Involution

Everyone, who came here to become the God of Math, is welcome! Before we start the game in earnest, how about taking a trip to the Moon first? But you are given only one piece of paper. Going to the Moon by using a piece of paper It makes no sense! How can we get to the Moon with a piece of paper? The things that don't make sense at all can happen here in the world of mathematics! Firstl, prepare the paper and then fold it exactly in half. The thickness of a piece of paper is about 0.1 ㎜. Then how thick is it now? If you fold the paper once, it becomes two fold. So the thickness of the paper is now 0.2 ㎜. In this state, fold the paper again. How thick is it now? You folded the paper twice and it became four fold. So the thickness of the paper is now 0.4 ㎜. Like this way, keep on folding it in half. The distance between the Earth and the Moon is about 380,000 ㎞! If you fold the paper 42 times, you can reach the Moon! Wow, really? The thickness of the once folded paper is 0.2 ㎜. The thickness of the twice folded paper is 0.4 ㎜. If you fold it three times, the thickness becomes 0.8 ㎜. If you fold it four times, the thickness becomes 1.6 ㎜. Well... now it's so thick that I can't fold it any more. It's too early to give up! If you can't hold it any more, imagine it in your head. Once folded, the paper becomes twofold. Twice folded, the paper becomes fourfold (2X2). Three times folded, the paper becomes eightfold (2X2X2). Four times folded, the paper becomes sixteenfold (2X2X2X2). Wait! If you fold the paper 42 times, you should write 'the number 2' 42 times. So let's express this as a simple formula by using involution. Once folded, Twice folded, Three times folded, Four times folded, Five times folded, Forty-two times folded... The thickness of a piece of paper: 0.1 ㎜ The thickness of the paper folded 42 times: The thickness of the 42 times folded paper is about 439,805 ㎞. And the distance between the Earth and the Moon is about 380,000 ㎞. Do you understand now? If you fold a piece of paper 42 times, the thickness of it exceeds the distance between the Earth and the Moon. Impossible things can become possible here. Because this is the world of mathematics! And the distance between the Earth and the Sun is about 150,000,000 ㎞. Now shall we take a trip to the Sun?