In the Hellraiser films, the box is normally found in the possession of a vagrant who acts as a form of herald for the Cenobites. This herald will pass on the box to those who engage in darker hedonistic practices, and when a person solves the puzzle they will summon the demons. When the Cenobites come, they subject the box-holder to the most horrific forms of torment imaginable. If they consider one worthy enough, that person is transformed into a new Cenobite. If not, they are dragged down into the Labyrinth where they are subjected to eternal "pleasure" through everlasting suffering.
The Cenobites all appear to have once been human, but their flesh is typically chalk-white and their bodies are all garbed in black leather outfits much like butchery garments. Each Cenobite is identified by their own personal disfigurements, their bodies mutilated in horrific ways, sometimes in ways that should be impossible to survive. Most of them are adorned with some manner of piercings, their flesh skewered and peeled by bizarre objects.