This fun "chaos" weave was introduced on The Ring Lord Forum by Motorcyclemama of MetalDesignz. It's essentially a 2-1 chain with extra rings added to each link in the chain. It has a lot of versatility, depending on how it's presented and the ring size used. When it's hanging straight down it tends to have a geometric appearance, but the loose rings keep it from becoming static. This works especially well for earrings. When laid out flat, the extra rings are free to flop around and the weave turns "shaggy" (as in the photo below). This makes for interesting bracelets, necklaces, and anklets.
Making the chain is rather simple. It can be done by adding individual rings to a 2-1 chain, but this procedure is much faster since the loose rings are added as the 2-1 chain is made. There are probably even faster ways to do it, but this is the method I like. The diagrams show the chain being made from the bottom up.
Shaggy loops can be made with rings with a relatively small AR. The earrings in the first example photo below are made with 18swg 1/8" rings (AR~2.6). With a higher AR, the weave becomes much more open, allowing the loose rings to flop more freely. The earrings in the second example photo are made with 20awg 1/8" rings (AR~3.9). Just about any ring size(s) can be used, as long as four rings can fit in one closed ring.
Gray rings are preclosed rings; gold rings are open rings used in the current step; bronze rings are the open ring from the previous step.
Step 2: Put two closed rings onto another open ring. Pass that open ring (gold) through the open ring (bronze) from the last step. Close the ring.
Step 2a: Separate the two loose closed rings (gray) so they lay on either side of the chain.
Step 3: Repeat steps 2 and 2a for the length of the chain.