Chimera
In Greek mythology, the Chimera is a terrible monster that breathed fire from its three heads: one of a lion, another of a goat, and the last, on the tail, of a dragon or serpent. It is, therefore, another fantastic hybrid.
In the Christian tradition, the Chimera symbolizes evil. Cirlot describes it as the representation of complete perversion. For others, it is an allegory symbolizing the pursuit of something impossible, hence the phrase "chasing a chimera."