Catch the Sculptor's muse was a mission in The Precursor Legacy that Jak and Daxter completed to obtain a power cell. The dismal Sculptor asked Jak to retrieve his lost muse for him who ran away to Misty Island. The Sculptor claimed that the muse was his source of inspiration as he stood in front of his blank sculpting rock.
Upon having caught the muse the mission was temporarily renamed Return the muse to the Sculptor until it was returned.
As soon as you encounter the first bone armor lurker in Misty Island, Daxter will point out the muse. It is a small, rodent creature, and emits a slight golden glow, easily noticeable in contrast with the island's sludge and rock. Follow it up the big skeleton and kill or avoid any lurkers that you encounter among these high steps. You will also have to hit one of the few scattered tall rib bones as to create a bridge. Do not attempt to catch the muse in the beginning as you will have to deactivate or activate some obstacles which allows for a clearer pursuit, so take this time to clear and memorize the route.
Once you have passed the route once, it should not be very hard to catch the muse. Either use a roll jump ( + while walking) and aim to hit the muse in one go, or follow after him and try gliding () to close the distance. Once you capture the muse, remember to return it to the Sculptor to receive the awarded power cell.