Folding the universe

If you fold a paper into half 100 times, the thickness of the paper will cover the entire observable universe. Of course the reverse is also true!. If you cut the universe into half 100 times, its thickness will become just a piece of paper. And it has taken 13.7 billion years to have this size, roughly around 137 million years to double itself, painfully slow, isn't it..

Who said universe is so big, its just a piece of paper folded 100 times!!!

And thrilled with the power of doubling, just double what you want to do in a fixed interval. Double, the time of reading, blogging, Jogging, earnings, turnover, assets, happiness, sex!, over a fixed period of time, it can become as big as the universe!!

Folding a Paper

Folding of paper teaches us a lot, lets explore and try to make a simple theory..

1. This is known fact, If you fold a paper 100 times, the thickness of the paper will almost cover the entire observable universe..

Folding a paper 100 times, the thickness is T (100) = t * 2^100 = t * 1.268 * 10^30
                                                                               =0.05 mm * 1.268* 10^30
                                                                               = 6.34 * 10^22 kms
t is the thickness of the paper which is 0.05 mm
and T is thickness of paper after 100 folds

Observable Universe Diameter is 91 billion light years
Diameter in Kms = 91 billion * 9.461* 10^12 kms = 8.61* 10^23 kms

2. You cant fold a normal paper beyond 7/8 times, because the ratio of length to thickness will become less than two and further folding is difficult.. So what should be the optimum length of a paper to fold as many times as possible? There are formula available, here is a simple formula..

Assumptions,
# Folding of a paper is limited to normal human ability
# Folding can only be done in breath and length -wise, it cannot be done on the thickness side, because it will cause damage to the paper itself
# Paper can be comfortably folded when the length to thickness ratio is more than than two.. Optimum length of a paper required to fold should have a length to thickness ratio of 2:1

Folding only on the length of the paper:

Optimal Length for folding n times L(n) = t * 2^n * 2^(n-1)

So if a paper need to be folded 13 times the paper length should be, L(13) = t * 2^13 * 2^12

Assuming paper thickness of 0.05 mm, the optimum length required to fold a paper 13 times on its length is L (13) = 0.05 *  2^13 * 2^12 = 1677 metres = 1.67 kms long Paper!!!

And the thickness of the paper after 13 folds is T (13) = t * 2^13 = 0.05 * 2^13 = 0.409 metres

Folding on Breadth and Length:

Assuming folding on breading first and then on length,

B (n) = t * 2^n * 2^(n-1)
Where t thickness, n is no. of folds done breath-wise

L (n) = T * 2^n * 2^(n-1)
where T is the thickness after the n folds Breadth-wise which is t*2^n and n is the no. of folds done length-wise