According to Wikipedia, "Wire wrapping is one of the oldest techniques for making jewelry by hand. In wire wrapping, jewelry is made using jewelry wire and findings similar to wire (like head-pins) to make components." Wire components can be any flexible metal, from coated electric conductors to gold. The variety of metals, from base to silver plate, copper, brass, sterling, Argentium silver to gold-filled, they are, "connected to one another using mechanical techniques with no soldering or heating of the wire. Frequently, in this approach, a wire is bent into a loop or other decorative shape and then the wire is wrapped around itself to finish the wire component making that loop or decorative shape permanent. Because of this technique, this craft is called wire 'wrapping'."
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Check this link out for tutorials on wire wrapping for beginners, as well as a myriad of other resources for making beautiful jewelry by hand!