A quick geometry problem


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What is the most efficient way to cover a square area of approximately 1.2 metres to a side using metrically sized pieces of paper? Ideally, there should be no need to cut sheets and as little overlap as possible. Using a few A2 sheets is preferable to having to use dozens of little A8 or A9 pieces.

{ 2 comments… read them below or add one }

Milan May 25, 2007 at 1:17 am

They have a formula:

For An:

Width [m]: 2^(-1/4−n/2)
Height [m]: 2^(1/4−n/2)

I want a height of 1.2m (I can trim off the long edge).

1.2 = 2^(1/4−n/2)
n= -0.0260688

Now, I just need to have a custom sheet made to that metric size dimensions.

R.K. May 25, 2007 at 1:03 am

What is the purpose here? Are you wrapping a precisely sized gift? Perhaps concealing a very small covert facility from spy satellites?

In the latter case, you probably want something more waterproof than paper.

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