Cove ceilings contain curved elements that integrate the structure of walls into the structure of the ceiling. This provides for a smooth, sloping transition between the ceiling and the walls, rather than a 90-degree angle. Many cove ceilings contain additional recessing and designs within the ceiling itself, such as arches and domes. However, any ceiling with a concave molding or surface transition between the walls and ceiling qualifies as a cove ceiling. Because curvature is a distinct feature of cove ceilings, by definition you cannot build a squared ceiling cove.
The definition of “cove ceiling” excludes squaring the transition between the ceiling and the wall, though you can still build a cove ceiling with squared elements. This process consists of creating a cove ceiling with a square recess in it. Building a cove ceiling with a squared recess entails placing a square or rectangular area within your cove ceiling that extends above the line of the actual ceiling. If you want a squared recess in your ceiling and don't care about the sloping transition of a cove ceiling, you want a recessed ceiling, not a squared cove ceiling.
Installing a squared recess in any ceiling, including cove ceilings, consists of creating a squared recess in an existing ceiling. This requires cutting a square or rectangular hole in your ceiling, building a wood frame up within that hole, and covering the frame with drywall or some other surfacing material. Add molding with distinct right angles around the perimeter of the bottom of the recess to reiterate the square design and reinforce the strength of the structure. Never cut holes in your ceiling if you don't have previous construction or engineering experience because it could threaten the structural integrity of your home. Hire a contractor for help with installation.
Building from the frame allows you to work a cove ceiling, squared recess or any other ceiling design element you want into the design of your home's frame. You can only do this by designing the ceiling cove or recess as part of the home during the design and construction process or by taking large parts of your home apart and reassembling it. If you hire builders to erect a house for you, ask about working a squared recess or cove ceiling into the design of the frame. When building your own home, design floors above your recessed ceiling far enough above the ceiling in question to allow for cove or recess elements. Some companies specialize in ceiling modification.