this post was submitted on 28 Nov 2023
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Well yes, the rest of the world does have better paper. 21×29.7, the only ratio to conserve itself when halving the sheet
Wait, is that true? Is there something special about that ratio in particular that lets it conserve ratio when dividing?
And IIRC, A0 is 1m²
There also is B0, which is exactly 1 by the root of 2 meters.
Beautiful.
Yes it's true. It's the square root of 2, which is why it works.
Legend has it that Leonardo da Vinci came up with it
Legend has it he came up with catgirl memes, too.
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)
Here is an alternative Piped link(s):
Here you go, proof at ~2 min in.
Piped is a privacy-respecting open-source alternative frontend to YouTube.
I'm open-source; check me out at GitHub.
Here's a fun CGP Grey video on the matter: https://youtu.be/pUF5esTscZI?si=9czdx4u8jWruZoui
untrackered link: https://youtu.be/pUF5esTscZI
Here is an alternative Piped link(s):
https://piped.video/pUF5esTscZI
Piped is a privacy-respecting open-source alternative frontend to YouTube.
I'm open-source; check me out at GitHub.
Here is an alternative Piped link(s):
https://piped.video/pUF5esTscZI?si=9czdx4u8jWruZoui
Piped is a privacy-respecting open-source alternative frontend to YouTube.
I'm open-source; check me out at GitHub.
Yes, this particular ratio allows the fact that you can fold a A3 paper in two and get two A4 sheet
Besides the Grey video heres an oldie but goodie Numberphile video about it
Here is an alternative Piped link(s):
Numberphile video
Piped is a privacy-respecting open-source alternative frontend to YouTube.
I'm open-source; check me out at GitHub.
It's called the Golden Ratio and has a lot of neat properties! Da Vinci and other nerds love(d) using it in art.
Relation 1 to SQR 2, from A0 of 1m2 to A5 letter format (A4, A5 most used in the EU), every time the half of the next bigger format. Easy to remember.
https://www.papersizes.org/a-paper-sizes.htm
I didn't know there are part of the world which doesn't put A4 in their printers