linuxmemes @lemmy.world Klaymore @sh.itjust.works 8mo ago

I bet the rest of the world has better paper

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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
  
  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*=2*b2
  
  a^2*/*b2=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.
- I didn't know there are part of the world which doesn't put A4 in their printers
- 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

53 comments