If one superimposes, or mates, the two triangles created by drawing lines between the 3 points in each of the two "portraits", the scurvey-ridden fool obtains a hexagram (which later became referred to as the Star of David in Judaism). But before that, the symbol was believed in Medieval legend to be the Seal of Solomon - a magical signet ring possessed by King Solomon. The ring was received by Solomon from heaven.
King Solomon's Seal, whose base is on the ground and whose tip reaches heaven, symbolizes a harmony of opposites, super-human wisdom, and rule by divine grace.