The Sagittarius birthstones that supply positive vibrations to Sagittarians are none other than amethyst, turquoise, and blue topaz. When worn as jewelry, these Sagittarius birthstones can look extremely charming, while also providing healing benefits to the wearer. Let us discuss each of these birthstones one by one, starting with turquoise.Within Greek mythology, the constellation of Sagittarius is associated with Chiron, one of the wisest centaurs who mentored Achilles and had numerous healing abilities. The dual nature of Chiron, as a centaur whose half of the body is human and the other half is animal, represents the dynamic nature of Sagittarians, which makes them embody primal instincts as well as higher wisdom.