How to climb to the Moon

Algebra Level 4

Given that, how many folds would be required to reach the Moon?


Details and Assumptions:

Distance to the Moon: 384 , 400 384,400 km / 238 , 900 238,900 miles

*observable Universe, currently measuring at 92 92 billion light-years (space.com)

Assume a purely mathematical approach (the paper stacks perfectly in a line from the Earth to the Moon and nothing breaks its structure).


The answer is 42.

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2 solutions

John M.
Sep 12, 2014

Solution? What solution? The answer to everything is 42 42 .


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Buuut for those too lazy to make their own solution, let's dive:

Let the thickness of paper be X X .

Then, generally, the number of folds will be as follows:

X 2 F = D X\cdot 2^F=D ,

where F F is the number of folds and D D is the distance to be folded over. (because if we take an object of thickness X X , the distance D D covered by the folds will double per fold F F .)

For our problem,

X 2 103 = 92 , 000 , 000 , 000 300 , 000 3600 24 365 k m 2 103 1 , 000 1 , 000 X\cdot 2^{103} =\frac{92,000,000,000\cdot 300,000\cdot 3600\cdot 24 \cdot 365 km}{2^{103}}\cdot 1,000 \cdot 1,000

(1000*1000 for km to meters to millimeters).

Some Wolfing Around

ss ss

reveals that the thickness of the paper should be approx. 0.0858 0.0858 millimeters.

So now we need to find how many folds to the Moon from Earth. Easy peasy:

0.0858 m m 2 F = 384 , 400 , 000 , 000 m m 0.0858mm\cdot 2^F=384,400,000,000mm

Some Wolfing Around

s s

will reveal, that F = 42 \boxed {F=42} . (I'm sure we could... jump to the Moon for the other 0.02 folds. Or be pulled by it. Yeah. Be pulled by it :))


@John Muradeli I do not agree with the answer. At such a H U G E HUGE distance, even 0.02 folds will matter "too" much. You can't jump such a great distance. The answer can't be 43 either, for if it were, the moon would have een pushed away from the earth...

Satvik Golechha - 6 years, 9 months ago

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(yeah I agree with you but this is due to rounding the thickness and some other factors probably. then it would'be been 0.01 maybe, and still a great distance, but eh I think we can afford a few stacks more of paper :) (if not, there's gravity))

besides, we get the essence of the problem. and can't make 0.02 of a fold. That's nonsense.

John M. - 6 years, 9 months ago

You gave rise to an Extra Credit Problem for me to share around:

sss sss

ss ss

Oh, and I added Newton's Second Law there after shooting this.


Thank you!

(P.S. I admit you're right. Unless you can last for a very, very long time in space, you should reconsider your paper thickness. Moon pull will be too weak to effectively drag you in.)

John M. - 6 years, 8 months ago

The problem is interesting but please include the size of the observable universe, so that people do not have to keep wondering.

Agnishom Chattopadhyay - 6 years, 9 months ago

i got the ans 45. .. without using wolfram..!!

Anees Parwez - 6 years, 9 months ago

I too was Wolfing around , it's a powerful tool!

Tijmen Veltman - 6 years, 9 months ago

:( unable to decode :'(

Soumo Mukherjee - 6 years, 7 months ago

Power of GP !!!

PARI, you mean?

Edward Jiang - 6 years, 9 months ago

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I meant Geometric Progression

Soutrik Bandyopadhyay - 6 years, 9 months ago

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