AX (where X is a number) is an ISO standard, where the ratio of the height (h) of the paper to the width is sqrt(2) : 1

So, assuming that the sheet of paper is 1cm wide (which it isnt, but it is irrelevant), then the height is sqrt(2)cm.

Therefore, the height of the square = y(sqrt(2))

and the width = x

(Where x is the number of sheets put side to side, and y is the number of sheets placed end-to-end)

eg (an ASCII art diagram)

QUOTE

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y = 3, x = 4

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y = 3, x = 4

So, when the paper is arranged in a perfect square, sqrt(2)y = x

I dont however, know how to go on from there. IF I could come up with two eqations in x, then maybe I could solve them simultaneously. Any ideas?

I am going to try and write a PHP program to brute-force the answer for me, but it's not a very elgeant solution.

If sqrt(2) is an irrational number, I dont think it will work (?) so I suppose I should check that out first...

Feel free to suggest I get out more... (But a huge origami crane would be kinda cool [creane in japanese is "tsuru"])

D