In Greek mythology, satyrs are deities of the woods and mountains. They are half human and half beast; they usually have a goat's tail, flanks, and hooves. While the upper part of the body is that of a human, they also have the horns of a goat. They are the companions of Dionysus, the god of wine. The Italian version of the satyr (below) is the faun.
Noted for riotousness and lasciviousness, satrys are lovers of wine and women, and spend their days and nights pursuing nymphs, who are female deities associated with the erotic and life-giving aspects of nature.
In modern usage, satyr and nymph typically describe men and women who are sexually free-spirited and very erotic.