iso paper sizes are delicious: sides are 1:sqrt2 or about 1:1.414

A4 is 210x297mm

A4 folded in half is 148x210 or A5.

A3 is two A4s, or 297x420

go to A0 841x1189 or one square metre.

A-1 (A Minus One) is 2 square metres.

Australia is ~A-43

The visible universe ~A-179

A proton about A139.

A Quark? A151

Presumably A232 is one dimensional though, as it's planck length on the long edge.

@NanoRaptor

> iso paper sizes are delicious

In contrast, US paper sizes are like licking a 9v battery

😛

@gumnos @NanoRaptor could not agree. Licking 9v could be a little entertaining. US formats are only pain .
@koval_blazej @gumnos @NanoRaptor I am a bit shocked US-ians have 9V batteries. Shouldn't it have been something like degree edison equal to 0.3866437 V in the southern states and 0.395673 V in the northern ones except on the navy?

@torf

Ah, you mean batteries with the power of 1/8 of a rabid raccoon? If you prefer to measure in lemon-piles, that's 3/17ths of a rabid raccoon.

😆

(I mean, you're not inaccurate in your perceptions of US measurement insanity 😑 )

@koval_blazej @NanoRaptor

@gumnos @torf @koval_blazej @NanoRaptor it's still a 9 V battery but it's 18.335 Freedom Tinglies?
@gumnos @torf @koval_blazej @NanoRaptor
Canada meanwhile uses angry pixies as a unit that just happens to use the same scale by pure coincidence
@gumnos
If they weren't using volts, I think it would be called potato power (pp)
@torf @koval_blazej @NanoRaptor
@gumnos @koval_blazej @NanoRaptor Ah, yeah, sorry, my brain percepts reality too much decimal...
@NanoRaptor can't keep the ratio with these physics, geez...
@NanoRaptor Now to calculate the negative A-number for a universe-wrapping sheet.
@NanoRaptor Hmm... it should be surprisingly easy to calculate the weight of the entire visible universe using an A0 sheet then…
@NanoRaptor Today's universe is 90gsm
@billgoats @NanoRaptor considering a mass around 10^53 kg and an area of 6*10^53 m², that gives us around 160g/m², if flattened into a sheet?

@justjanne

sounds comfortingly sturdy. 😊

@billgoats @NanoRaptor

@NanoRaptor and the B paper sizes are the geometric mean in-between A sizes!
@aleph_omega_plus_four @NanoRaptor An envelope size ~C-180 should be able to contain all the visible universe.
@NanoRaptor A-179 printer jams are a bitch.
@NanoRaptor
The US' steadfast refusal to accept shit like this or the metric system should have been ample warning that we were unhinged.

@TheGreatLlama @NanoRaptor

I'm still a little salty about US pints being only 16 ounces.

@TheGreatLlama @NanoRaptor “Should have been” => “was”.
@NanoRaptor A24 is one of our smaller film studios, at approximately 0.21mm x 0.29mm.
@NanoRaptor that was deliciously nerdy <3

@NanoRaptor

This is the nerdy content I signed up for. 👍

@NanoRaptor I'm tempted to use the black hole surface area formula to make a whole series of corresponding mass units
@NanoRaptor Tangent that's been bugging me: Do you ever wish governments would make the forms they expect to receive internationally 210 × 279.4 so they print nicely on both A4 and US Letter?
@NanoRaptor strong "-280 nope, +280 barely even warm by metals standards" vibes from these numbers.

@NanoRaptor I keep wanting to make a sort of math translation tool, and now I want it to accept these units.

I can never remember what an acre is, now I want to know its A-size

@ShadSterling @NanoRaptor An acre is approximately 4047 square metres, so (if I understand sizes larger than A0 correctly) just slightly smaller than 12A0.
@Daveosaurus @ShadSterling @NanoRaptor You mean A-12, or 2¹² A0,
@fgrosshans @ShadSterling @NanoRaptor that would be more logical, but the international standard does it differently. I also remembered slightly wrong - the numbering is arithmetic, not geometric, so the size I thought would be 12A0 is actually 4096A0 .... Which would make the standard rather useless for anything larger than an extremely large sheet of paper, unfortunately. https://en.wikipedia.org/wiki/International_standard_paper_sizes
International standard paper sizes - Wikipedia

Why A4 Paper Is a Mathematical Miracle

YouTube

@jsnell @NanoRaptor yes, and in the comments that’s where I broke the bad news about 2A0 — sadly it reverts from logarithmic to linear

2^180A0 is the universe

A232 is Planck length paper

#planck #a4 #a0 #metric #paper #universesize

Good to see my calculations concurred with @NanoRaptor

No thanks to YouTube though, for making comments non-searchable

It’s next to impossible to search for my own comments, let alone anyone else’s

@NanoRaptor

Blah blah sqrt2 blah blah mm

America: See the metric system is irrational.

@NanoRaptor
This is the kind of key information that brings me here.
@NanoRaptor unfortunately the spec rounds it to the nearest mill for every change, so not quite mathematically perfect, see https://www.youtube.com/watch?v=zDKBCIMkDbw for more details
A4 paper is annoying (I have proof)

YouTube
@NanoRaptor Thank you. This is exactly the kind of wholesome, fascinating, educational, complete silliness I absolutely love on Fedi.
@NanoRaptor this sounds more like an xkcd what if than a nanoraptor, but… it does bring things into perspective.
Why A4 Paper Is a Mathematical Miracle

YouTube
@NanoRaptor Don’t forget the B sizes. Very very clever!

@NanoRaptor I hail from a Metric country and have always been mystified by the backwards ways of the USA. However, I was today's year old when I learned that A0 was a square meter! Well, it _had_ to be, right?

(I made made notebooks in my youth by subdividing A4 pages, the _absolute_ standard size in the civilized world).

@tommythorn @NanoRaptor Let me blow your mind some more: the standard paper weight is so-called 80 gram. Standard letter postage in most countries is for 20 gram letters. Why the 20 gram? 20 gram is two sheets of 80 gram A4 paper plus a C5 envelope. It all ties together.

@ArtHarg @NanoRaptor Meanwhile here we have a mile, defined as 8 furlongs, which are 220 yards each, that being 3 feet, and those are 12 inches.

We can do better: tyres specifications are a lovely mix of metric, fractional, and imperial. (At least we don't have to deal with stones).

@NanoRaptor i am here for this 😁

Also sizes above A0 seem to have a different notation, at least here:

https://www.papersizes.org/a-paper-size-areas.htm

Thus Oz is 43A0. you're welcome 🤪

A Paper Size Areas - A0, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10

Areas of the A series paper sizes 4A0, 2A0, A0, A1, A2, A3, A4, A5, A6, A7, A8, A9 and A10 in square metres, square centimetres, square millimetres, square inches, and sqaure feet.

@Slash909uk
I think you misrunderstood that notation. It seems to be 2A0 for the size above A0 and 4A0 for the next size up. That would make Australia (2^43)A0 aka 8796093022208A0. @NanoRaptor
@asshauer @NanoRaptor ah yes, not so useful. I stand corrected 😊
@Slash909uk aye I’ve seen both used. And only printed two double A0 posters in fifteen years where I am. Once they’re up around that size they tend to be rounded to sizes like 1800x1200 or so.
@NanoRaptor US paper sizes are based on polygons!? That actually makes sense! 😄

@NanoRaptor so A is simply 1m² and numbers are factors of exponentiential growth.

Area is (1/2)^N, where N is the A number.
A4 is (1m²)* 1/2⁴ = 1/16 or 0.625m². nice.

@NanoRaptor

I arranged for my wife to print a degree project printed on A0 and have it laminated for a presentation.

It was an impressive size! 🙂👍

@NanoRaptor (some) passports and toilet paper are A6
@NanoRaptor love this. Off to get a C-179 envelope to pop the Universe in.
@NanoRaptor din 476 (in 1922, already!) was a unxkcdly case of "one more standard".
@NanoRaptor
Imho one of the single greatest ideas of all time.
It also makes it quite easy to calculate the weight of a letter: typical paper is 80g/m², A4 is 1/2⁴ m², so 80/16 = 5g per sheet
@NanoRaptor
Quite interestingly, German Autobahns use the same numbering schedule