Byzantine is a very well know chainmaille weave. In fact, it is the first one that a lot of mailers learn to make. I know it was my first. Byzantine quickly became a favorite of mine because of its versatility. It lends itself well to earrings, bracelets and necklaces as well.
Below you can see some examples of how different Byzantine can look.
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These earrings are made from the Byzantine weave with Jasper beads dangling from the bottom.
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This bracelet is a weave known as Beez to Butterflies. It is made from linking vertical sections of Byzantine together.
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This shows another way to link Byzantine together. Full Byzantine segments are connected by rings in the middle.
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Here is an example of Byzantine segments that are connected with larger rings instead of being connected directly to each other.
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This version of Byzantine is known as Romanov. Segments of Byzantine are used to surround a bead or gemstone and are then connected with larger rings.
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And lastly, this necklace shows Byzantine in its purest form. Byzantine segments are connected to make a long Byzantine necklace
If you are interested in chainmaille make sure you learn Byzantine. From there it is easy to let your imagination take over.