Fiber arts, mysterious dodecahedrons, and waiting on “Eureka!”

post by eukaryote · 2022-08-04T20:37:59.388Z · LW · GW · 15 comments

This is a link post for https://eukaryotewritesblog.com/2022/08/04/fiber-arts-mysterious-dodecahedrons-and-waiting-on-eureka/

Contents

    Part 1: The anomaly
      3: The Romans hadn’t invented knitting.
    Part 2: The Ancient Romans couldn’t knit
      Sidenote: Do you know your fabrics? This next section will make way more sense if you do.
    Part 3: The Ancient Peruvians couldn’t knit either, but they did something that looks the same
    Part 4: Many stones can form an arch, singly none
      Sidenote: Ancient bacteria couldn’t knit
      Footnotes
  This post has a sequel:
None
15 comments

Part 1: The anomaly

This story starts, as many stories do, with my girlfriend 3D-printing me a supernatural artifact. Specifically, one of my favorite SCPs, SCP-184.

This attempt got about 75% of the way through. Close enough.

We had some problems with the print. Did the problems have anything to do with printing a model of a mysterious artifact that makes spaces bigger on the inside, via a small precisely-calibrated box? I would say no, there’s no way that be related.

Anyway, the image used for the SCP in question, and thus also the final printed model, is based a Roman dodecahedron. Roman dodecahedrons are a particular shape of metal object that have been dug up in digs from all over the Roman period, and we have no idea why they exist.

Roman dodecahedra. || Image source unknown.

Many theories have been advanced. You might have seen these in an image that was going around the internet, which ended by suggesting that the object would work perfectly for knitting the fingers of gloves.

There isn’t an alternative clear explanation for what these are. A tool for measuring coins? A ruler for calculating distances? A sort of Roman fidget spinner? This author thinks it displays a date and has a neat explanation as for why. (Experimental archaeology is so cool, y’all.)

Whatever the purpose of the Roman dodecahedron was, I’m pretty sure it’s not (as the meme implies is obvious) for knitting glove fingers.1

Why?

1: The holes are always all different sizes, and you don’t need that to make glove fingers.

2: You could just do this with a donut with pegs in it, you don’t need a precisely welded dodecahedron. It does work for knitting glove fingers, you just don’t need something this complicated.

3: The Romans hadn’t invented knitting.

Part 2: The Ancient Romans couldn’t knit

Wait, what? Yeah, the Romans couldn’t knit. The Ancient Greeks couldn’t knit, the Ancient Egyptians couldn’t knit. Knitting took a while to take off outside of the Middle East and the West, but still, almost all of the Imperial Chinese dynasties wouldn’t have known how. Knitting is a pretty recent invention, time-wise. The earliest knit objects we have are from Egypt around 1000 CE.

Possibly the oldest knit sock known, ca 1000-1200 CE according to this page. || Photo is public domain from the George Washington University Textile Museum Collection.

This is especially surprising because knitting is useful for two big reasons:

First, it’s very easy to do. It takes yarn and two sticks and children can learn how. This is pretty rare for fabric manufacturing – compare, for instance, weaving, which takes an entire loom.

Sidenote: Do you know your fabrics? This next section will make way more sense if you do.

Woven fabricKnit fabric
Commonly found in: trousers, collared/button up shirts, bedsheets, dish towels, woven boxers, quilts, coats, etc. 
Not stretchy. 
Loose threads won’t make the whole cloth unravel.
Commonly found in: T-shirts, polo shirts, leggings, underwear, anything made of jersey fabric, sweaters, sweatpants, socks.
Stretchy. 
If you pull on a lose thread, the cloth unravels.

Second, and oft-underappreciated, knitted fabric is stretchy. We’re spoiled by the riches of elastic fabric today, but it wasn’t always so. Modern elastic fabric uses synthetic materials like spandex or neoprene; the older version was natural latex rubber, and it seems to have taken until the 1800s to use rubber to make clothing stretchy. Knit fabric stretches without any of those.

Before knitting, your options were limited – you could only make clothing that didn’t stretch, which I think explains a lot of why medieval and earlier clothing “looks that way”. A lot of belts and drapey fabric. If something is form-fitting, it’s probably laced. (…Or just more-closely tailored, which unrelatedly became more of a thing later in the medieval period.)

You think these men had access to comfortable elastic waistlines? No they did not. || Image from the Luttrell Psalter, ~1330.

You could also use woven fabric on the bias, which stretches a little.

Woven fabric is stretchier this way. Grab something made of woven fabric and try it out. || Image by PKM, under a CC BY-SA 3.0 license.

Medieval Europe made stockings from fabric cut like this. Imagine a sock made out of tablecloth or button-down-shirt-type material. Not very flexible. Here’s a modern recreation on Etsy.

Other kinds of old “socks” were more flexible but more obnoxious, made of a long strip of bias-cut fabric that you’d wrap around your feet. (Known as: winingas, vindingr, legwraps, wickelbänder , or puttees.) Historical reenactors wear these sometimes. I’m told they’re not flexible and restrict movement, and that they take practice to put on correctly.

Come 1000 CE, knitting arrives on the scene.

Which is to say, it’s no surprise that the first knitted garments we see are socks! They get big in Europe over the next 300 years or so. Richly detailed bags and cushions also appear. We start seeing artistic depictions of knitting for the first time around now too.

Italian Madonna knitting with four needles, ~1350. Section of this miniature by Tommaso de Modena.

 

Interestingly, this early knitting was largely circular, meaning that you produce a tube of cloth rather than a flat sheet. This meant that the first knitting was done not with two sticks and some yarn, but four sticks and some yarn. This is much easier for making socks and the like than using two needles would be. …But also means that the invention process actually started with four needles and some yarn, so maybe it’s not surprising it took so long.2

(Why did it take so long to invent knitting flat cloth with two sticks? Well, there’s less of a point to it, since you already have lots of woven cloth, and you can do a lot of clothes – socks, sweaters, hats, bags – by knitting tubes. Also, by knitting circularly, you only have to know how to do one stitch (the knit stitch) whereas flat knitting requires you also use a different stitch (the perl stitch) to make a smooth fabric that looks like and is as stretchy as round knitting. If you’re not a knitter, just trust me – it’s an extra step.)

(You might also be wondering: What about crochet? Crochet was even more recent. 1800s.)

Part 3: The Ancient Peruvians couldn’t knit either, but they did something that looks the same

You sometimes see people say that knitting is much older, maybe thousands of years old. It’s hard to tell how old knitting is – fabric doesn’t always preserve well – but it’s safe to say that it’s not that old. We have examples of people doing things with string for thousands of years, but no examples of knitting before those 1000 CE socks. What we do have examples of is naalbinding, a method of making fabric from yarn using a needle. Naalbinding produces a less-stretchy fabric than knitting. It’s found from Scandinavia to the Middle East and also shows up in Peru.

The native Peruvian form of naalbinding is a specific technique called cross-knit looping. (This technique also shows up sometimes in pre-American Eurasia, but it’s not common.) The interesting thing about cross-knit looping is that the fabric looks almost identical to regular knitting.

Here’s a tiny cross-knit-looped bag I made, next to a tiny regularly knit bag I made. You can see they look really similar. The fabric isn’t truly identical if you look closely (although it’s close enough to have fooled historians). It doesn’t act the same either – naalbound fabric is less stretchy than knit fabric, and it doesn’t unravel.

The ancient Peruvians cross-knit-looped decorations for other garments and the occasional hat, not socks.

Cross-knit-looped detail from the absolutely stunning Paracas Textile. If you look closely, it looks like stockinette knit fabric, but it’s not.

Inspired by the Paracas Textile figures above, I used cross-knit-looping to make this little fox lady fingerpuppet:

I think it was easier to do fine details than it would be if I were knitting – it felt more like embroidery – but it might have been slower to make the plain fabric parts than knitting would have been. But I’ve done a lot of knitting and very little cross-knit-looping, so it’s hard to compare directly. If you want to learn how to do cross-knit looping yourself, Donna Kallner on Youtube has handy instructional videos.

I wondered about naalbinding in general – does the practice predate human dispersal to the Americas, or did the Eurasian technique and the American technique evolve separately? Well, I don’t know for certain. Sewing needles and working with yarn are old old practices, definitely pre-dating the hike across Beringia (~18,000 BCE). The oldest naalbinding is 6500 years old, so it’s possible – but as far as I know, no ancient naalbinding has every been found anywhere in the Americas outside of Peru, or in eastern Russia or Asia – it was mostly the Middle East and Europe, and then, also, separately, Peru. The process of cross-knit looping shares some similarities with net-making and basket-weaving, so it doesn’t seem so odd to me that the process was invented again in Peru.

For a while, I thought, it’s even weirder that the Peruvians didn’t get to knitting – they were so close, they made something that looks so similar. But cross-knit-looping doesn’t actually particularly share any other similarities with knitting more than naalbinding or even more common crafts like basketweaving or weaving – the tools are different, the process is different, etc.

So the question should be the same for the Romans or any other other culture with yarn and sticks before 1000 AD: why didn’t they invent knitting? They had all the pieces. …Didn’t they?

Yeah, I think they did.

Part 4: Many stones can form an arch, singly none

Let’s jump topics for a second. In Egypt, a millenium before there were knit socks, there was the Library of Alexandria. Zenodotus, the first known head librarian at the Library of Alexandria, organized lists of words and probably the library’s books by alphabetical order. He’s the first person we know of to alphabetize books with this method, somewhere around 300 BCE.

Then, it takes 500 years before we see alphabetization of books by the second letter of the title.3

The first time I heard this, I thought: Holy mackerel. That’s a long time. I know people who are very smart, but I’m not sure I know anyone smart enough to invent categorizing things by the second letter.

But. Is that true? Let’s do some Fermi estimates. The world population was 1.66E8 (166 million) in 500 BCE and 2.02E8 (202 million) in 200 CE. But only a tiny fraction would have had access to books, and only a fraction of those in the western alphabet system. (And of course, people outside of the Library of Alexandria with access to books could have done it and we just wouldn’t know, because that fact would have been lost – but people have actually studied the history of alphabetization and do seem to treat this as the start of alphabetization as a cultural practice, so I’ll carry on.)

For this rough estimate, I’ll average the world population over that period to 2E8. Assuming a 50 year lifespan, that’s 10 lifespans and thus 2E10 people living in the window. If only one in a thousand people would have been in a place to have the idea and have it recognized (e.g. access to lots of books), that’s 1 in 2E7 people, or 1 in 20 million. That’s suddenly not unreachable. Especially since I think “1 in 1,000 ‘being able to have the idea’” might be too high – and if it’s more like “1 in 10,000” or lower, the end number could be more like 1 in 1 million. I might actually know people who are 1 in 1 million smart – I have smart friends. So there’s some chance I know someone smart enough to have invented “organizing by the second letter of the title”.

Sidenote: Ancient bacteria couldn’t knit

A parallel in biology: Some organisms emit alcohol as a waste product. For thousands of years, humans have been concentrating alcohol in one place to kill bacteria. (… Okay, not just to kill bacteria.) From 2005 to 2015, some bacteria have been getting 10x resistant to alcohol. 

Isn’t it strange that this is only happened in the last 10 years? This question actually lead, via a winding path, to the idea that became my Funnel of Human Experience blog post. I forgot to answer the question, but suffice to say that if alcohol production is in some way proportional to the human population, 10 years is more significant but still not very much.

And yet, alcohol resistance seems to have involved in Enterococcus faecium only recently. The authors postulate the spread of alcohol handwashing. Seems as plausible as anything. Or maybe it’s just difficult to evolve.

Knitting continues to interest me, because a lot of examples of innovation do rely heavily on what came before. To have invented organizing books by the second letter of the title, your society has to have invented organizing books by the first letter of the title, and you also have to know how to write, and have access to a lot of books for the second letter to even matter.

The sewing machine was invented in 1790 CE and improved drastically over the next 60 years, where it became widely used to automate a time-consuming and extremely common task. We could ask: “But why wasn’t the sewing machine invented earlier, like in 1500 CE?”

But we mostly don’t, because to invent a sewing machine, you also need very finely machined gears and other metal parts, and that technology also came up around the industrial revolution. You just couldn’t have made a reliable sewing machine in 1500 CE, even if you had the idea – you didn’t have all the steps. In software terms, as a technology, sewing machines have dependencies. Thus, the march of human progress, yada yada yada.

But as far as I can tell, you had everything that went into knitting for thousands of years beforehand. You had sticks, you had yarn, you had the motivation. Knitting doesn’t have dependencies after that. And you had brainpower: people in the past everywhere were making fiber into yarn and yarn into clothing all of the time, seriously making clothes from scratch takes so much time.

And yet, knitting is very recent. That was so big of a leap that it took thousands of years for someone to figure it out.



Footnotes

1 I’m not displaying the meme itself in this otherwise image-happy post because if I do, one of my friends will read this essay and get to the meme but stop reading before they get to the part where I say the meme is incorrect. And then the next time we talk, they’ll tell me that they read my blog post and liked that part where a Youtuber proved that this mysterious Roman artifact was used to knit gloves, and hah, those silly historians! And then I will immediately get a headache.

2 Flexible circular knitting needles for knitting tubes are, as you might guess, also a more modern invention. If you’re in the Medieval period, it’s four sticks or bust.

3 My girlfriend and I made a valiant attempt to verify this, including squinting at some scans of fragments from Ancient Greek dictionaries written on papyrus from Papyri.info – which is, by the way, easily one of the most websites of all time. We didn’t make much headway.

The dictionaries or bibliographies we found on papyrus seem to be ordered completely alphabetically, but even those “source texts” were copies from ~1500 CE or that kind of thing, of much older (~200 CE) texts. So those texts we found might have been alphabetized by the copiers. Also, neither of us know Ancient Greek, which did not help matters.

Ultimately, this citation about both primary and secondary alphabetization seems to come from Lloyd W. Daly’s well-regarded 1967 book Contributions to a history of alphabetization in Antiquity and the Middle Ages, which I have not read. If you try digging further, good luck and let me know what you find.
 

This post has a sequel:

🧶 Who invented knitting? The plot thickens [LW · GW]

15 comments

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comment by eukaryote · 2023-12-12T20:41:08.138Z · LW(p) · GW(p)

End-of-2023 author retrospective: 

Yeah, this post holds up. I'm proud of it. The Roman dodecahedron and the fox lady still sit proudly on my desk.

I got the oldest known example wrong, but this was addressed in the sequel post: Who invented knitting? The plot thickens [LW · GW]. If you haven't read the sequel, where I go looking for the origins of knitting, you will enjoy it. Yes, even if you're here for the broad ideas about history rather than specifically knitting. (That investigation ate my life for a few months in there. Please read it. 🥺)

I'm extremely pleased by the reception I got from this. People say "oh, Less Wrong won't be interested in a post about knitting". These people were not writing good enough posts about knitting. They probably also said that about tree phylogeny [LW · GW].* If you think something is interesting, you can explain why it's interesting to other people and maybe they'll agree with you.

I would say the challenge of writing this was maybe in sort of trusting myself that these freewheeling high-concept connections between alphabetization and knitting and bacterial evolution were worth explicitly relating to each other. On one hand I often sort of hate reading pieces based around the author holding up distantly-connected things and going "do you get it? do you get it??" ...But on the other hand, sometimes they're insightful, and man, sometimes there is a weird concept that's really made clear by seeing a few disparate examples. So it's worth trying and ultimately it is just a blog post and not a scientific paper, so "gesturing vaguely at an idea" is on par for the course. Evidently other people thought the connection was something too. Nice!

*Fact check: Nobody has ever said either of these things to me.

comment by Donald Hobson (donald-hobson) · 2022-08-06T10:14:33.326Z · LW(p) · GW(p)

Random theory. Those dodecehedrons hold tent poles in place. 

Take one bronze dodecehedron, and 6 straight sticks, and some string and canvas.

Each pole goes through one hole and out the opposite hole, and then stops. This leaves an umbrela like structure. 1 pole going straight down, the other 5 going diagonally down.

The nodules are to tie rope around. Possibly to tie the canvas to. 

Replies from: gwern
comment by gwern · 2022-08-06T13:39:50.953Z · LW(p) · GW(p)

That sounds like a very expensive & large doodad for a simple tent where lashing would work fine. Even assuming it'd work (wouldn't that just leave the poles wiggling around inside?), that would also seem to not satisfy the requirement to explain why it's found in many sites (not just military encampments) such as buried in coin hoards, why the holes are of apparently random and inconsistent sizes, or to explain why all of them rigorously go to the trouble of adding on many expensive nodules most of which would be unused (and I think it would be predictable which ones you would not be using for a tent and you could simply give it an orientation). There's also 1 found icosahedron which has no holes at all, which is bad news for any glove-knitting, surveying, or tent-poling theory, but is not an issue for other theories like fortune-telling or game-playing.

comment by Yitz (yitz) · 2022-08-05T14:12:19.063Z · LW(p) · GW(p)

Thanks for the excellent and though-provoking read! My outside-view guess is that knitting was invented multiple times beforehand, but didn’t work as a practical solution at the time…perhaps because it unravels fairly easily?

Replies from: eukaryote
comment by eukaryote · 2022-08-05T17:21:27.876Z · LW(p) · GW(p)

Thanks! What makes you say that? It does unravel fairly quickly if it's torn or in gress, but when you're done knitting, say, a hat, you just thread or tie the end off and it's pretty unlikely that a piece will get loose and unravel a completed garment. I guess it's a bit more of a risk for something that sees more wear, like a sock.

Replies from: Elo
comment by Elo · 2022-08-06T01:09:37.922Z · LW(p) · GW(p)

You can also felt a knitted object for a double effort, secure structure.

comment by philh · 2023-01-09T10:06:56.726Z · LW(p) · GW(p)

This is very much "guess that I expect to be wrong", but...

A question that occurs to me is how much wool (or linen, if you can knit that) it takes to make a knitted garment versus a comparable woven one? Presumably more, because the threads aren't straight, but I dunno how much.

So I dunno if wool/linen got more abundant leading up to 1000 CE, but if so I could see that being part of an explanation for why it took so long? Rich people would have been able to afford knitwear if it had existed, but the number of people who'd have had capacity to play around and discover it, and to make use of it if they had, would have been lower.

(And, how do they compare for warmth? The knitted one will presumably be denser, so warmer, so maybe in certain climates at certain times of year you could replace multiple woven garments with a single knitted one; but then in other situations the knitted one is unpleasantly warm. Again though, I dunno how much of a factor this is, I guess minor.)

comment by Flaglandbase · 2022-08-05T05:14:33.760Z · LW(p) · GW(p)

A lot of complexity in the universe seems to be built up from  simple stringlike structures.

Replies from: lahwran
comment by the gears to ascension (lahwran) · 2022-08-05T17:12:36.052Z · LW(p) · GW(p)

haaaa string theory joke I get it

comment by Angela Pretorius · 2023-01-09T11:56:21.314Z · LW(p) · GW(p)

Here’s another reason why knitting may have taken so long to invent.

IQ scores in most Western countries have been rising by about 0.3 points per year over the course of the 20th century. If we assume that average IQ was stable until about 1750 when the industrial revolution began and increased by 0.3 points per year after that then the average IQ of people living before 1750 would have been about 28 by the standards of someone living in the year 1990 (I use 1990 as the benchmark because IQ scores have actually been decreasing over the past few decades).

Replies from: gbear605
comment by gbear605 · 2023-01-09T12:28:50.479Z · LW(p) · GW(p)

The Flynn effect isn't really meaningful outside of IQ tests. Most medieval and early modern peasants were uneducated and didn't know much about the world far from their home, but they definitely weren't dumb. If you look at the actual techniques they used to run their farms, they're very impressive and require a good deal of knowledge and fairly abstract thinking to do optimally, which they often did. 

Also, many of the weaving patterns that they've been doing for thousands of years are very complex, much more complex than a basic knitting stitch.

Replies from: Angela Pretorius
comment by Angela Pretorius · 2023-01-10T00:13:33.945Z · LW(p) · GW(p)

OK, 25 is a bit ridiculous. But I still think it's not unreasonable to believe that medieval peasants were less intelligent than, say, modern day sub-saharan Africans. Infectious diseases and malnutrition were rife, lead acetate was used to sweeten wines and foods and mercury was prescribed as a cure-all for everything from syphilus to teething.

comment by Ben (ben-lang) · 2023-01-09T11:16:18.856Z · LW(p) · GW(p)

Very interesting. The lateness of knitting is so strange.

To throw my theory of what they are "actually" for on the heap: gambling.

My first thought was "weird dice", but wikipedia says they never have inscriptions or numbers. But it also says they are often found with coins and the holes are all different sizes. So you could imagine a gambling game along the following lines: I roll the thing, and the size of the circle I roll tells me the size of the coin you owe me. Then its your turn to roll for the coin I owe you. (I would hope this would just be a component of a more interesting game.)

comment by [deleted] · 2022-08-05T21:45:12.283Z · LW(p) · GW(p)

It is possible to use the Roman dodecahedrons as 360° incense burners if incense has been invented.

I feel like it would fit Roman buildings religiously and architecturally and that pointing out why it was not – if accurate – is propably easy for any historian of the ancient Rome.

Replies from: Elo
comment by Elo · 2022-08-06T01:08:41.104Z · LW(p) · GW(p)

Yes but why not use the more basic popsicle stick with a hole in it. There's no additional benefit from the ball shape. For example a lantern - no reason to use an exactly 12 sided shape over many other designs.