Due to their calm temperament, Greyhounds can make better 'apartment dogs' than smaller, more active breeds. Historically, the Greyhound has, since its first appearance as a hunting type and breed, enjoyed a specific degree of fame and definition in Western literature, heraldry and art as the most elegant or noble companion and hunter of the canine world. Historically, the Greyhound has, since its first appearance as a hunting type and breed, enjoyed a specific degree of fame and definition in Western literature, heraldry and art as the most elegant or noble companion and hunter of the canine world.