What type of roof is characterized by steeply sloped facets surrounding a flat or nearly flat center section?

A mansard roof is defined by its distinctive design that features steeply sloped facets which surround a flat or nearly flat central section. This architectural style, which is often associated with French design, allows for additional living space in the roof area, often used as an attic or living quarters. The steep slopes can also facilitate the shedding of rain and snow, making it both aesthetically pleasing and functional.

The central flat area on a mansard roof provides opportunities for windows and dormers, which can enhance the interior space and natural lighting. It also offers a unique silhouette that is recognizable and often sought after in certain architectural styles. Additionally, the design can add to the overall height of the building while maximizing usable space underneath.

In contrast, other roof types like the hip roof features slopes on all four sides but does not contain a flat section at the top, while a shed roof is typically a single sloped surface. Eaves, on the other hand, are the lower edges of a roof that overhang beyond the walls, serving a different purpose in roof design and function.