We don't have a Target locally anymore, and my medicine doesn't come with these nifty personal identification rings. A friend of mine who knows how much I love to craft with reclaimed things sent me a bag of them.
They seem to be made of silicone, so the rings have some give. The base ring for the pendant above is blue. It's thread wrapped and color blocked, two popular trends.
You will need:
A medicine personal identification ring
Embroidery floss in the colors you want
tapestry needle with an eye big enough for 6 strands of floss
Cut a strand of floss that's at least 2 feet long, and tie it loosely around the ring.
Start wrapped the floss around the ring. You want to lay the wraps right against each other so they cover the ring completely. When you've finished the area you want to wrap, thread the needle with the floss, and then slide the needle between the floss wraps and the ring. Pull the floss under to lock it into place. Trim thread close, then tie the next color loosely on.
For the smaller wrap areas, rather than trying to neatly end off a small area, I added floss into one of the longer sections, holding a 2 foot length of floss and wrapping over it, then letting the end dangle until I finished the main color blocking.
After the ring was covered, I put the needle on the strand of floss and wrapped over a small section, then passed the needle between the floss and ring to come out in the next area I wanted a small wrap section.
It looks neater if you always go backwards through the section just wrapped, so that floss went back and forth a few times. The silicone has enough give that it worked well and didn't show very much.
Add a cord. The one I used has a simple overhand knot over the donut and sliding knots for adjustable length.