Originally posted by Jirakon
An offset 80-basis paper has a thickness of .0055 in. Convert this to miles:
.0055 in x 1 ft/12 in x 1 mile/5280 ft = 8.68x10^-8 miles
Since the thickness doubles with every fold, multiply this by 2^50:
8.68x10^-8 x 2^50 = 9.77x10^7 miles
The distance from here to the sun is ~9.3x10^7 miles. So it would actually pass the sun by ~470,000 miles.
It is not possible to fold a paper 50 times without cutting it into pieces! Simply impossible.
Try it yourself and you'll quickly understand why.
Take a 1 by 1 meter sheet of paper with a 0.1 millimeter in thickness. The volume of this paper is 100 qubic millimeter. This volume does not eve change.
Fold it once. Now you have 1/2 by 1 meter in size and 0.2 mm in thickness.
Fold it once again. Now you have 1/2 by 1/2 meter in size and 0.4 mm in thickness, right?
Bot now, studi how it is folded: The sheet in the bottom and the sheet in the top have one folding in common. That means that the size is not exactly 1/2 meter square anymore but 1/2 minus 0.4 millimeter.
Do this again: Fold once and fold once again.
Now you have the area of 1/4 by 1/4 meters in area and 1.6 mm in thickness, right. But not exactly but 1/4 meter minus 1.6 millimeter.
Do it again: Gives 1/8 meter in square minus 6.4 millimeter.
Do it again: Gives 1/16 meter in square minus 25.6 millimeter.
Do it again: Gives 1/32 meter in square minus 102.4 millimeter.
Now study this pack of folded paper. The volume is the same, the size has schrinked but its thickness has growed. The size is 1/32 meter equalling 300 mm or thereabout and the thickness is around 100 millimeter.
Try to fold this once more and you will fail (if not earlier). The size in one direction is 150 millimeter and its thickness is around 200 millimeter. That means that the sheet in the bottom can't meet the sheet in the top. Therefore the latest folding is impossible.
We have folded only 10 times, the eleventh failed. Then ask yourself if 50 foldings are possible.
It is not simply possile to fold a sheet of paper more than a limited number of times, regardless of thickness of the paper or the square size from the beginning.