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[-] Mubelotix@jlai.lu 119 points 1 year ago

Well yes, the rest of the world does have better paper. 21×29.7, the only ratio to conserve itself when halving the sheet

[-] Tangent5280@lemmy.world 14 points 1 year ago

Wait, is that true? Is there something special about that ratio in particular that lets it conserve ratio when dividing?

[-] tryptaminev@feddit.de 43 points 1 year ago
[-] itslilith 20 points 1 year ago
[-] the_seven_sins@feddit.de 6 points 1 year ago

There also is B0, which is exactly 1 by the root of 2 meters.

[-] Klear@sh.itjust.works 5 points 1 year ago
[-] cygnus@lemmy.ca 35 points 1 year ago

Yes it's true. It's the square root of 2, which is why it works.

[-] Mubelotix@jlai.lu 5 points 1 year ago* (last edited 1 year ago)

Legend has it that Leonardo da Vinci came up with it

[-] UndercoverUlrikHD@programming.dev 8 points 1 year ago* (last edited 1 year ago)

Here you go, proof at ~2 min in.

Edit: for those who don't want to use YouTube anymore. If a is the long side and b is the short side of a rectangle. Halving the rectangle will make the long side b and the short side 1/2 a. If the ratio is preserved when halving, we get:

a/b=b/(1/2 a)

a^2=2b^2

a^2/b^2=2

a/b=sqrt(2)

[-] PipedLinkBot@feddit.rocks 1 points 1 year ago

Here is an alternative Piped link(s):

Here you go, proof at ~2 min in.

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[-] joshfaulkner@lemmy.world 8 points 1 year ago
[-] yukijoou 9 points 1 year ago
[-] PipedLinkBot@feddit.rocks 2 points 1 year ago

Here is an alternative Piped link(s):

https://piped.video/pUF5esTscZI

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I'm open-source; check me out at GitHub.

[-] PipedLinkBot@feddit.rocks 2 points 1 year ago

Here is an alternative Piped link(s):

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[-] BastingChemina@slrpnk.net 7 points 1 year ago

Yes, this particular ratio allows the fact that you can fold a A3 paper in two and get two A4 sheet

[-] Lifter@discuss.tchncs.de 3 points 1 year ago* (last edited 1 year ago)

It's called the Golden Ratio and has a lot of neat properties! Da Vinci and other nerds love(d) using it in art.

[-] Zerush@lemmy.ml 3 points 1 year ago

Relation 1 to SQR 2, from A0 of 1m2 to A5 letter format, every time the half of the next bigger format. Easy to remember.

[-] uis@lemmy.world 3 points 1 year ago* (last edited 1 year ago)

I didn't know there are part of the world which doesn't put A4 in their printers

this post was submitted on 28 Nov 2023
828 points (100.0% liked)

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