Origami

What is the pattern in folding paper?

If you folded a piece of paper one time, you would have 2 thicknesses. Fold it again, you'd get 4. If you went on for a long time, would you find a pattern in the growing thicknesses, and what is it? And how do you know that?

Public Comments

1. It woldn't take you very long before the thickness of your paper reached to the ends of the universe, actually.
2. if you fold it in half, it doubles the thickness therefore thickness = 2^n
3. If you continue you will have 2^n fold. Where n is the number of folds you made. 1 fold = 2 thickness 2 = 4 3 = 8 4 = 16 5 = 32 This is known since whenever you fold the paper in half you are doubling the number of sheets of paper (i.e. the thickness).
4. Every time you fold it, you double the number of thicknesses. The formula is therefore 2^n So just after 10 folds you would have 2*2*2*2*2*2*2*2*2*2 = 2^10 = 1024 You can see that it grows very fast.