Note: A ratio (#:#) indicates how many other links each individual link passes through.  So, in European 4:1, every link passes through four others.  If no ratio is given, then either it is inconsistent or unnecessary.

	European 4:1 (sheet) This is usually the first weave a mailler learns, it being the most simple and common of the sheet weaves.  It is used for just about everything.
	Kingsmaille 8:2 (sheet) Almost the same as the European 4:1 weave, but every link is doubled.
	Expanding Circle 4:1 (circular sheet) The method for converting the European 4:1 weave into a circular form, used to make coif tops mostly.  This is a really bad picture, apologies.
	Gridlock 4:1 (sheet) A variant on European 4:1 that has something of a rippled effect.  The image is actually a tile of the weave, since I don't have an image of the actual weave.
	Dragonscale 4:1 (sheet) This is a really cool weave made with two sizes of links.  The best way to explain it is two sheets of European 4:1 woven within each other.  Named so because it is reminiscent of a dragon's scales.
	Japanese 4:1 (sheet) This is the Japanese-style weave.  Technically, only the big rings pass through four others (and actually in this patch it is eight, since the rings are doubled), but it's so much easier to just call it 4:1.
	Half Persian 3:1 Sheet 5:1 (sheet) The two ratios are necessary because one is the ratio for the sheet form, and one is the ratio for the chain that it was modified from.  It's a pretty basic, but nonetheless cool-looking weave.
	Elfsheet (sheet) One of the more involved chainmail weaves that I know, best in really dense ring sizes which makes for a really heavy weave.  It is worth it though.
	Boxchain (chain) A simple, multipurpose chain variant of European 4:1.
	Byzantine (aka Birdcage) (chain) A variant on Boxchain, with each orb unit separated by two links.
	Trizantine (chain) A variant on Byzantine, with an extra link added down the middle.
	Roundmaille 4:1 (chain) Five widths of European 4:1 folded over and stitched into a chain form.  A fairly dense, heavy weave.
	Inverted Roundmaille (chain) Roundmaille woven inside out, kind of.  It makes a very stiff and cool-looking chain.
	Captive Inverted Round (chain) A very stiff version of regular Inverted Roundmaille that contains at least one captive link per unit.  Captive links do not pass through any other links, but are held in "cages."
	Full Persian 4:1 (chain) A very nice, dense, intricate weave from the Persian family.  It makes gorgeous jewelry.
	Half Persian 3:1 (chain) An interesting, flat chain, exactly half of Full Persian (hence the name).  It is not symmetrical on both sides, so the image shows it from the top and from the bottom.
	Half Persian 4:1 (chain) Very similar to 3:1, but with distinct differences.  HP 4:1 is denser, more intricate, and also symmetrical on both sides.  It is sometimes referred to as the "X" weave, because it appears to form X's.
	Viperskin (chain) A substantial flat chain weave, in appearance somewhat similar to a three-unit width of European 6:1.  Reminiscent of the scales of some serpentine monster.
	Spiral (chain) A fairly self-explanatory weave, I think.  It has a tendency to come unwound if given a free end.
	This Is Not Food (chain) For the record, I was not responsible for the name of this weave.  Nonetheless, it is true that it is not in fact food: it is in fact a variant of Spiral that does not come unwound.