Figured I'd post this for crafty types to see, in case they might want to use a design or length of it in some of their crafting.
In either case... .
I've given the names of each type of weave, in case someone wants to look online for more information or instructions on one of them. I can also post help if needed. Also, it's randomly interesting to see the names people came up with. Note: I only named one of these... Wilbert weave... which I invented :P They're also sorted by category of the weave style.
The entire sample pile. Not much to look at in here, but it gives you an idea of the amount:

True European:

European 4-1
European 4-1 with scales
European 4-1 with scales (no spaces)
European 4-1 wrong way
European 4-1 on a bias
European 6-1
Modified European:

Elfweave
Alienmaille
Interwoven 4-1
Dwarfmaille
Full Persian:

One and a half persian
Lobster tail
Flat full persian
Full persian 6-1
B8FP (box ate full persian)
Full persian 8-1 grizzly
Half Persian:

Half persian 3-1
One and a half HP 3-1
GSG (great southern gathering)
Double half persian 3-1
Half persian 4-1
Half persian 3+1 in 1
Half persian 6-1
Japanese:

Japanese 4-1
Japanese 8-2 cubic
Japanese 6-1
Origami
Round:

Boxchain
Roundmaille
Byzantine
Turkish roundmaille
Trizantine
Inverted roundmaille
Captive inverted roundmaille
Orbital:

Thunderbolt
Power line
Baelrog's barb wire
Turkish orbital
Multiple Ring Size:

Dragon's tail
Helm chain
This is not water
This is not food
Scherzo
Dragonscale
Simple Random:

Shaggy weave
RSD (rhino snorting drano)
Jacob's ladder
Jen's pind linkage
Tomato sandwich
Spinal weave
Complex Random:

Bore worm
Persian dragonscale
Beez to butterflies
Backbone
Wilbert weave
So yeah... there ya go. Enjoy :}
In either case... .
I've given the names of each type of weave, in case someone wants to look online for more information or instructions on one of them. I can also post help if needed. Also, it's randomly interesting to see the names people came up with. Note: I only named one of these... Wilbert weave... which I invented :P They're also sorted by category of the weave style.
The entire sample pile. Not much to look at in here, but it gives you an idea of the amount:

True European:

European 4-1
European 4-1 with scales
European 4-1 with scales (no spaces)
European 4-1 wrong way
European 4-1 on a bias
European 6-1
Modified European:

Elfweave
Alienmaille
Interwoven 4-1
Dwarfmaille
Full Persian:

One and a half persian
Lobster tail
Flat full persian
Full persian 6-1
B8FP (box ate full persian)
Full persian 8-1 grizzly
Half Persian:

Half persian 3-1
One and a half HP 3-1
GSG (great southern gathering)
Double half persian 3-1
Half persian 4-1
Half persian 3+1 in 1
Half persian 6-1
Japanese:

Japanese 4-1
Japanese 8-2 cubic
Japanese 6-1
Origami
Round:

Boxchain
Roundmaille
Byzantine
Turkish roundmaille
Trizantine
Inverted roundmaille
Captive inverted roundmaille
Orbital:

Thunderbolt
Power line
Baelrog's barb wire
Turkish orbital
Multiple Ring Size:

Dragon's tail
Helm chain
This is not water
This is not food
Scherzo
Dragonscale
Simple Random:

Shaggy weave
RSD (rhino snorting drano)
Jacob's ladder
Jen's pind linkage
Tomato sandwich
Spinal weave
Complex Random:

Bore worm
Persian dragonscale
Beez to butterflies
Backbone
Wilbert weave
So yeah... there ya go. Enjoy :}
mmmm chainmail...
Although mail can apply to chain mail, isn't it also any "flexible" armor? Including scale mail and certain plate mail?
Also, every dictionary I've seen recognizes chain mail (albeit not without the space) as flexible armor consisting of small rings and none recognise chain as such. So by that, even though chainmail without the space may be incorrect, it's not because of redundancy, but a very common typo.
Not trying to piss in your Cheerios, just looking for some clarification. ^_^
also, ive never heard of mail referring to plate armour. i know several people who make their own chain and plate armour and they've always referred to it as chain and plate armour. i could be wrong though, of course.
p.s. i love alton brown
The fact of the matter is that EVERYONE will recognize chainmail (albeit once I had to clarify that I don't make chain-letters, which are something entirely different). If I tell someone I mail, they won't have the foggiest clue what I'm referring to.
Okay so the point there was that it's hardly a rarity for two redundant terms to be stuck together and then through perpetual use become the accepted (and there for correct) term.
I think chain mail is well established as a correct term for the work she is showing...despite the internal redundancy.
'Mail' is the older form which was the Anglicized version of the Old French 'maille' to refer to (chain)mail(le) (hey, at least there's one bit in the middle we can all agree on, and that's better than some of these imbroglios I've found myself caught up in as a linguist!), which both come from the Latin 'macula' which means a mesh. It's related to 'immaculate' in some ways that are both extremely interesting and entirely unrelated to this discussion. But I digress.
As 'mail' accumulated other meanings, specifications in the term began to arise to disambiguate what someone was talking about, which is always a helpful thing for a language to do as it grows and changes. So 'chain mail,' with or without a hyphen or space, became more prevalent as a description of the object. As English-speaking groups moved further from French influences, the '-le' was also dropped in some areas, creating further linguistic diversity.
The Oxford English Dictionary (yup, have a copy, looked it up, am a huge and enthusiastic word geek!) recognizes 'mail,' 'maille,' and 'chain mail'
all as flexible armor made of rings or plates. One of the things I think the OED deserves to be lauded for is its flexibility of being extremely particular when new words are added, but also for its acknowledgment of the English language as an evolving, growing, changing beast, and its allowing of new words and new meanings of old ones to be added when they have sufficiently entered into common useage enough that they can be said to be fully acquired.
I think the confusion here is the SCA aspect, which within its own acronym fully honors that it is acting "out of time," that it is anachronistic. In the SCA, using any language that has come into English since whatever time period people are enacting at an event would be considered incorrect. However, outside of an SCA event, 'chain mail' is a fully functioning noun phrase member of our beautiful, awesome, ever-expanding language, and that's one of the things that I love most about having the good fortune of being a lingeek who was born a native English speaker, I got one of the richest, most diversified and bizarre languages in the world as my very first toy.
Now if only the Académie Française would acknowledge the same evolutionary point about the French language... It was only a couple of years ago that, indeed, we were allowed to liaise the "s" from plural articles with the silent "h" in certain words, like "hibou" and "haricots", effectively erasing the glottal stop from the language.
P.S. To keep the comment on topic: I love those chainmail (irk! irk!) samples. And had no idea of the variations on the "stitches". Is there a sort of pattern book?
Where do you get your rings from (or do you make them yourself)?
Also: your Japanese weave rocks my socks...it's really really beautiful.
Then there's the Wilbert weave, which as stated in the original post, I designed and whatnot :P
I tried it in class when I was still in school...and I messed it all up.
So, I had some kid make me a chainmail bracelet because I failed at life. haha.
If I can get the right wire, perhaps I'll try again.
Ps. very nicely done. you have more patience than me.