Final answer:
Daedalus built an inescapable labyrinth for King Minos to house the Minotaur, a half bull and half man creature.
Step-by-step explanation:
The elaborate structure that Daedalus built for King Minos was an inescapable labyrinth. According to myth, this labyrinth was designed to house the Minotaur, a half bull and half man creature born from an illicit union between Minos' wife and a white bull. The labyrinth was meant to be a maze-like structure that was impossible to navigate, making it the perfect prison for the Minotaur.