Historically, riveted mail is the standard for chainmail. However, butted chainmail is cheaper and easier to find. WicSaga finds it acceptable, but explanation may be needed.
The most common sheet weave for chainmail armor is the European 4 in 1.
Do no worry about closing the rings perfectly, but the closer the close, the less likely the ring will get caught in hair or clothing.
All of the following photos were made by Patrick Snyder.
Various pliers can be used for making chainmail. Bent tip are common, so are this short nose pliers as seen above.
Gather the jumprings. It is recommended to close a number of rings to make the process easier overall.
Open a ring as above.
Add 4 closed rings to the open ring.
close the ring and lay it as above.
Add another ring as above.
Add two closed rings to that open ring and close it.
Follow the last two steps to continue making the chain.
To connect this chain to another chain or part of the sheet, line up the sections in question.
Connect a ring to four corresponding rings, so it looks like the above.
Connect another ring to four rings, two of which also must be connected to the first ring.
Connect another ring to four rings, two of which also must be connected to the second ring.
Continue until the end.