I couldn't find a picture of just the Alpha Delta Pi badge, but y'all can find it at

at the bottom right. The badge can be purchased plain, with pearls, with pearls & jeweled points (shown here - this is identical to my pin), with opals, or alternating pearls & jewels. The Grand President wears a pin with diamonds instead of the pearls, while our Grand President Erimetis (Maxine Blake) wears one with two rows of diamonds that is absolutely magnificent!
Pins can be made into rings or pendants on a permenant basis, or that which removed to be given to another initiate.
Interesting, there is a picture of an ADPi from back in the 1850's and she's wearing the badge on a hair band!
honeychile