Booklets Small booklets can be made by folding a single she

Booklets - Small booklets can be made by folding a single sheet of paper several times and then cutting and stapling. I would like to number the pages before making the folds. Can you tell me how to go about it? Cube Painting - How many different cubes can be made such that each face has a single line joining the mid-points of a pair of opposite edges? Same question for a diagonal stripe.

Solution

One fold of paper doubles the existing number of folded papers, therefore, we have the following pattern of number of folding versus number of pages:

4 = 2²

Thus, after making n folds we will produce 2ⁿ pages,

Number of folds	1	2	3	4	5
Number of pages	2 = 21	4 = 22	8 = 23	16 = 24	32 = 25