Spiral Weave
by Mike BrockStart with a ring:

Link in another ring (red):

Another (green). Notice how it goes under on top and
over the rings on the bottom, this it what creates the spiral
effect. Also the chain will want to untwist, if this happens just
tighten the twist up and continue:

Another ring (blue):

Continue until the desired length is reached.
Side note: If you untwist the spiral, you'll notice that
you have two separate chains linked within one another. Kinda
neat.
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