Tom WieczorekMar 14
Nanoraptor

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.

Mar 13 at 9:35pmWeb
Show threadTim ChaseMar 13

@NanoRaptor

> iso paper sizes are delicious

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

😛

Show threadBłażej KowalczykMar 13
@gumnos @NanoRaptor could not agree. Licking 9v could be a little entertaining. US formats are only pain .
Show threadTorf und SchneeMar 14
@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?
Show threadTim ChaseMar 14

@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

Show threadkabel42Mar 14
@gumnos @torf @koval_blazej @NanoRaptor it's still a 9 V battery but it's 18.335 Freedom Tinglies?
Show threadkabel42Mar 14
@gumnos @torf @koval_blazej @NanoRaptor
Canada meanwhile uses angry pixies as a unit that just happens to use the same scale by pure coincidence
Show threadkupac^ESC:wqMar 14
@gumnos
If they weren't using volts, I think it would be called potato power (pp)
@torf @koval_blazej @NanoRaptor
Show threadTorf und SchneeMar 14
@gumnos @koval_blazej @NanoRaptor Ah, yeah, sorry, my brain percepts reality too much decimal...
Show threadEfi (nap pet) 🦊💤Mar 13
@NanoRaptor can't keep the ratio with these physics, geez...
Show threadSparkpaws™ 5000®Mar 13
@NanoRaptor Now to calculate the negative A-number for a universe-wrapping sheet.
Show threaddan 💾Mar 13
@NanoRaptor Hmm... it should be surprisingly easy to calculate the weight of the entire visible universe using an A0 sheet then…
Show threaddan 💾Mar 13
@NanoRaptor Today's universe is 90gsm
Show threadjustJanneMar 14
@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?
Show threadErdsternMar 14

@justjanne

sounds comfortingly sturdy. 😊

@billgoats @NanoRaptor

Show threadAleph ω+4Mar 13
@NanoRaptor and the B paper sizes are the geometric mean in-between A sizes!
Show threadSveinn í FelliMar 14
@aleph_omega_plus_four @NanoRaptor An envelope size ~C-180 should be able to contain all the visible universe.
Show threadBartMar 13
@NanoRaptor A-179 printer jams are a bitch.
Show threadThe Great Llama Mar 13
@NanoRaptor
The US' steadfast refusal to accept shit like this or the metric system should have been ample warning that we were unhinged.
Show threadBruce Heerssen Mar 13

@TheGreatLlama @NanoRaptor

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

Show threadArthur van der Harg6d ago
@TheGreatLlama @NanoRaptor “Should have been” => “was”.
Show threadBrian Danger HicksMar 13
@NanoRaptor A24 is one of our smaller film studios, at approximately 0.21mm x 0.29mm.
Show threadÞór SigurðssonMar 13
@NanoRaptor that was deliciously nerdy <3
Show threadR.L. Dane    🍵 Mar 13

@NanoRaptor

This is the nerdy content I signed up for. 👍

Show threadDavid ZaslavskyMar 13
@NanoRaptor I'm tempted to use the black hole surface area formula to make a whole series of corresponding mass units
Show threadMarco BrescianiMar 14
@diazona
https://xkcd.com/3033/
@NanoRaptor
Origami Black Hole

xkcd
Show threadDubi is here Mar 13
@NanoRaptor https://youtu.be/pUF5esTscZI?si=rdt_tWEGCZDli6cv
Why A4 Paper Is a Mathematical Miracle

YouTube
Show threadSnowFoxMar 13
@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?
Show threadFauxMar 13
@NanoRaptor strong "-280 nope, +280 barely even warm by metals standards" vibes from these numbers.
Show threadShadSterlingMar 13

@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

Show threadDaveMar 14
@ShadSterling @NanoRaptor An acre is approximately 4047 square metres, so (if I understand sizes larger than A0 correctly) just slightly smaller than 12A0.
Show threadFrédéric GrosshansMar 14
@Daveosaurus @ShadSterling @NanoRaptor You mean A-12, or 2¹² A0,
Show threadDaveMar 14
@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

Show threadJason SnellMar 13
@NanoRaptor if you haven't seen it: https://www.youtube.com/watch?v=pUF5esTscZI
Why A4 Paper Is a Mathematical Miracle

YouTube
Show threadChristian Kent   𝘊𝘒 :＼﹥Mar 14

@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

Show threadChristian Kent   𝘊𝘒 :＼﹥Mar 14

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

Show threadDarryl RammMar 13

@NanoRaptor

Blah blah sqrt2 blah blah mm

America: See the metric system is irrational.

Show threadRon JeffriesMar 13
@NanoRaptor
This is the kind of key information that brings me here.
Show threadSmoljaguarMar 14
@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
Show threadJoan of Contention 😷Mar 14
@NanoRaptor Thank you. This is exactly the kind of wholesome, fascinating, educational, complete silliness I absolutely love on Fedi.
Show threadmirabilosMar 14
@NanoRaptor this sounds more like an xkcd what if than a nanoraptor, but… it does bring things into perspective.
Show threadhexaheximalMar 14
@NanoRaptor obligatory https://www.youtube.com/watch?v=pUF5esTscZI ;)
Why A4 Paper Is a Mathematical Miracle

YouTube
Show thread四Mar 14
@NanoRaptor Don’t forget the B sizes. Very very clever!
Show threadTommy ÞMar 14

@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).

Show threadArthur van der Harg6d ago
@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.
Show threadTommy Þ6d ago
@ArtHarg @NanoRaptor funny,, thanks
Show threadSlash909ukMar 14

@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.

Show threadMatthias AßhauerMar 14
@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
Show threadSlash909ukMar 14
@asshauer @NanoRaptor ah yes, not so useful. I stand corrected 😊
Show threadNanoraptorMar 14
@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.
Show threadozengMar 14

@NanoRaptor @ftg the A4 dimensions seem a bit non-sensical, almost like we’re lumbered with some leftover-from-imperial crap.

Wikipedia:

“A0 is defined so that it has an area of 1 m^2”

Oh nice! That’s logical and neat.

“Successive paper sizes …. are defined by halving the area of the preceding paper size”

Uhuh, loving it! So elegant.

“The most used of this series is the A4 paper size, which is 210 mm × 297 mm (8.27 in × 11.7 in) and thus almost exactly 1 / 16 square metre”

Oh for fuck sakes.

Show threadprom™️Mar 14
@NanoRaptor US paper sizes are based on polygons!? That actually makes sense! 😄
Show threadTrassliga havssnöret TomasMar 14

@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.

Show threadSimon Zerafa (Status:   😊)Mar 14

@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! 🙂👍

Show threadgullevek ☢️ 🇯🇵Mar 14
@NanoRaptor “Load Letter” /s
Show threadDavid JONESMar 14
@NanoRaptor (some) passports and toilet paper are A6
Show threadRupert 🇪🇺🏴‍☠️😾🔭📷🍺🍪🌍🔥Mar 14
@NanoRaptor love this. Off to get a C-179 envelope to pop the Universe in.
Show threadHendiMar 14
@NanoRaptor din 476 (in 1922, already!) was a unxkcdly case of "one more standard".
Show threadBjörn ❄️ StarkimarmMar 14
@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
Show threadAxel van BergenMar 14
@NanoRaptor
Quite interestingly, German Autobahns use the same numbering schedule