rocdocmac

Looks like 21 is a bit stiff. Let's change it to 13.

@Thalia ... CEEE (76) CEEE Final.xlsx

If a piece of rectangular paper is folded once only and a single straight cut is made in the following ways, how many pieces of paper will there be after the cut paper is unfolded in place? (1) A cut perpendicular to the (last) fold (2) A cut parallel to the (last) fold (3) A diagonal cut (4) A diagonal cut in the opposite direction (5) Both (1) and (2) (6) Both (3) and (4) (7) Both (5) and (6) The answers for cuts (1) to (7) are 2, 3, 3, 3, 6, 7, and 14, respectively. It is very difficult (rather practically impossible) to fold a piece of paper more than 6 or 7 times. But, suppose we have a sheet of paper of infinite size and of negligible thickness, what would the outcome be if such a chunk of paper is folded 21 times and then cut accordingly to the mentioned seven ways? Each new fold from the start of folding is at right angles to the previous one. The images below show the different cuts to be made. The single fold in the given example (or the final fold when multiple folds are involved) appears on the right-hand side (||) of each drawing.

If a piece of rectangular paper is folded once only and a single straight cut is made in the following ways, how many pieces of paper will there be after the cut paper is unfolded in place? (1) A cut perpendicular to the (last) fold (2) A cut parallel to the (last) fold (3) A diagonal cut (4) A diagonal cut in the opposite direction (5) Both (1) and (2) (6) Both (3) and (4) (7) Both (5) and (6) The answers for cuts (1) to (7) are 2, 3, 3, 3, 6, 7, and 14, respectively. It is very difficult (rather practically impossible) to fold a piece of paper more than 6 or 7 times. But, suppose we have a sheet of paper of infinite size and of negligible thickness, what would the outcome be if such a chunk of paper is folded 21 times and then cut accordingly to the mentioned seven ways? Each new fold from the start of folding is at right angles to the previous one. The images below show the different cuts to be made. The single fold in the given example (or the final fold when multiple folds are involved) appears on the right-hand side (||) of each drawing.

Does it necessarily mean that all 9 of the teetotalers drank water or is that an assumption? What if some didn't drink at all that day and therefore never touched one of the 106 glasses?

@Thalia ... revised MMEE MMEE.xlsx

@Thalia ... Please ignore my previous post. Use the later spreadsheet in next message.

@ Thalia (4-cubelet removal) ... CEEE.xlsx

@Thalia (re 4-cublet removal) ... MMEE.xlsx

Is Confucious still alive and well?

That "19" was a typo, sorry! Latest included ...

Kicking of again, if I understand correctly ...

... and above 800 ...

@Thalia ... Virtually completed counting (4-cubelet removal). Still have to verify, but the total seems to be less than 840!

Four feet in the air ...

Maybe far out, but still something to consider ...