This decorative chain weave is called pheasable.  It is a sort of series of twisted,  diamond shaps.
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Europen 12-1.  I think that pretty much explains itself.
4-1 spiral.  Made the same way as a normal sprial chain, but in this each ring is off set further and passes through more other rings. 
A standard spiral with all the rings tripled.  Rings can be doubled, tripled, or higher if the ring ID to wire gauge ration will allow it.  The more rings you put into the spiral, the more it will hold the helical shape without and tension put on it.
One of the oddest in the spiral family, this is called a Mobius ball.  Each rings passest through all the others.  It can't really be made into chains or anything (it can, but they never look that nice), it just is what it is.  It's fun to play with because you can keep turning the rings through the ball, and always come back to the same place.  (Hence the name.)  Also makes a nice sort of knotwork pendant for jewlery, however when attached to something you can no longer turn the rings.
This is called a flower chain.  It is mini spirals joined together.  (Those mini spirals are called flower rings.)  Makes a very nice, simple piece of jewlery.  Something only slightly more complex then a simple chain.
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