It blows our hivemind that the United States doesn't use the ISO 216 paper size standard (A4, A5 and the gang).
Like, we consider ourselves worldly people and are aware of America's little idiosyncrasies like mass incarceration, the widespread availability of assault weapons and not being able to transfer money via your banking app, but come on - look how absolutely great it is to be European:
The American mind cannot comprehend this diagram
[Diagram of paper sizes as listed below]
ISO 216 A series papers formats
AO
A1
A3
A5
A7
A6
Et.
A4
Instead, Americans prostrate themselves to bizarrely-named paper types of seemingly random size: Letter, Legal, Tabloid (Ledger) and all other types of sordid nonsense. We're not even going to include a picture because this is a family-friendly finance blog.
fun fact: the length to width ratio of ISO 216, √2:1, is the same ratio as the tritone in an equal tempered 12-tone musical scale. If you fold A4 paper in half, you get a piece of paper with the same length to width ratio as before; analogously, if you invert a tritone, you get another tritone.
The annoying "letter" paper size is for some unknown reason what windows always sets as the paper size unless I change it to A4 manually. Naturally if I forget the printer won't print. US paper sizing - annoying me on the other side of the Atlantic.
I want to only briefly defend the NA system in terms of naming. I get it, I worked in printing for decades, I know how shitty it all can be. But Letter and Tabloid communicate well for something that is otherwise all the fault of press guys.
As a math nerd, I appreciate the fractaline nature of your paper.
But as an american, what is the practical advantage?? The sizes are so far apart, and you dont get papers with different ratios? Like for example Letter and Legal are both 8.5 inches wide, can be used in any standard cheap household printer, legal is just longer so you can fit more stuff on the page. Letter paper folds into thirds to fit snuggly in an envelope and legal folds into fourths. Other paper sizes are so niche and rarely used why does it matter if theyre a perfect mathematical ratio or not?
Not-super-fun fact: an 8.5 x 11 inch paper can be useful if you lack a ruler in an American office & you need to measure an inch or a foot.
If you fold the paper like in an image I'll try to attach, the hypotenuse is 12.01 inches.
Edit: then you fold the 12.01 inch side against the 11 inch side to get a 1.01 inch measurement
Not exact, but good enough if you need to know your neck size to buy a fancy shirt online - not that I would ever waste my corporation’s time that way!
TIL that there are different standards of paper sizes in other parts of the world. I never encountered this before despite living in Germany for 10 years, probably because the last time I was there was 30 years ago.