this post was submitted on 30 Aug 2026
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[–] thebestaquaman@lemmy.world 27 points 2 hours ago (9 children)

Oh, let's also remember that A4 is a member of beautiful variant of an "SI system for paper". Want a paper the size of an A4 folded double? We have A8. Want something that folds perfectly to A4? A3. One more fold? A2.

  • Statement: "I want a piece of paper that I can fold twice to get exactly a US letter size."
  • Response: "You must be crazy."
[–] f314@lemmy.world 10 points 2 hours ago (5 children)

What on earth are you on about with those numbers? 😅

A0 is the base size, with an area of one square meter. Fold that in half and you get A1. Fold that in half and you get A2, and so on. Regular printer paper is A4. You’ll rarely, if ever, see sizes smaller than A6.

[–] Rhaedas@fedia.io -1 points 1 hour ago (2 children)

I was hoping that there was a metric baseline for this paper size, but it still bugs me that the dimensions aren't "even". 297mm? That's no better than 8 1/2 inches.

[–] f314@lemmy.world 5 points 39 minutes ago

I see what you’re saying, but the «weird» dimensions are what makes the whole thing with folding in half to get the next size work:

The aspect ratio has to be 1 to the root of 2 for it to work, and that’s going to make some dimensions «uneven». The utility of that system is worth it many times over!

[–] halcyoncmdr@piefed.social 10 points 1 hour ago (1 children)

There is, but A4 isn't the baseline, A0 is.

A0 is 1m² with a ratio of 1:√2. Cut that in half along the larger side and you have A1, half it again and you have A2, etc. on down the line.

The entire series maintains the same exact ratio down to A13 at 9mmx13mm.

[–] surewhynotlem@lemmy.world 4 points 1 hour ago (1 children)

So ridiculously dedicated to metric that they didn't think to make A0 an exponent of 2, and then designed an entire system around dividing it by 2.

A0 should've been 1.024 meters.

[–] f314@lemmy.world 3 points 31 minutes ago

You’d still get «weird» lengths in the other dimension, though. Remember, the aspect ratio has to be 1 to the root of 2 for the folding in half to work.

Also, I don’t think 1024 would have been such an obvious number back in the late 1700’s, when this system was first thought up 😅

There is a system of sizes where the shortest side of the base size is exactly 1 meter, though: the B system. The aspect ratio is the same as for the A sizes.

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