This is a nice Flower Jasper cabochon, in the shape of a teardrop. This example features flower-ike petals in brownish-red, edged with darker brown, with a background of a grayish beige.
It's good for those interested in collecting the many forms of agate, jasper, or sometimes other minerals. Jasper is a form of chalcedony quartz, and is opaque rather than clear or translucent like regular quartz or agate. It contains an abundance of impurities which give its interesting appearance. I understand that there are over 3,000 forms of Jasper.
Although this is a cab, you can also glue on "bails", or have the piece drilled to accept a pinch bail. Either approach will let you turn this sample into a fine pendant.