Zone of Imagined Space

You are standing in a rotunda whose DOME is painted to resemble the face of a Baroque CLOCK. At the clock center where you would normally find clock hands hinged together you instead see an OCULUS through which the sky peeks at you. Fanning out around you are a series of rooms whose oaken DOORS are shut, perhaps even locked, but you really can't tell from here.

Strangely none of the doors are marked, but above each you can see a Roman numeral from the clock indicating an hour of the day. You have entered the Zone of Imagined Space. The coolness of its mottled marble FLOOR makes you wish you had worn shoes, but you never expected to wind up here, did you?