The part of the dungeon known as the Living Quarters is rather extensive. The first, main room is a large oblong with many smaller, alcove type rooms attached like soap bubbles gathered together. One of these is the bar; another is a Spheresmithy, with flashes of light and sound constantly spilling out from it; and there are various shops set up selling various magic and non-magic items, and a variety of services. There are also staircases leading off of the hall in three directions, one goes to a dining hall, one to the rooms, and the last to a gym. There are fewer people here, some peruse the the shops, others sit at the bar, and still others continue conversations from before, but the majority have left to go to bed.
The rooms hallway is lined with doors, twenty on each side, but most rooms remain empty, only about half have names on them, since there are very few that have come here on their own. The hall ends with another door, this goes to a small room that has a door on either side, the bathrooms. Inside can be heard the sound of running water in many forms, from sinks to showers.
Burly's group is across the hall and three doors down from your group's. Four names are burned into a door five in the other direction on your side: Flip, Trip, Whip and Skip. And the door across from that is labelled Kara and Adam. Peter seems to have found a room of his own at the end of the hall, presumably after being forced out by everyone else. There's still no sign of the dark haired man with the eye Grid, he may or may not be in one of the rooms, but it's impossible to tell since you don't know his name.