One weave I came up with in my play with the rings is my Hyacinth Weave. This weave is a variant of the popular Byzantine weave, and incorporates crystals in the weave. I named the weave Hyacinth, because of the way that the crystals sit in relation to the rings - that's exactly what they reminded me of - with the crystals forming the flower and the rings the base of the flower.
See if it reminds you of Hyacinths as well! (Hyacinth Flower Image)