In order to provide more sources of natural light for the tall pyramidal living room, the volume of the vault of the dormer windows at the third level is extruded in through the dormer window on one side of the penthouse, across the entire width of the third level, and out the window on the opposite side.

This linear volume intersects with the sloping surfaces at the pyramidal living room volume, creating voids through the light from the dormers spills in to reach both the bedroom and the living space below. 

A shutter slides across the dormer volume to provide privacy when the bedroom is in use.

For more on this project see the following links: 

Skyhouse_1. Entry/Stairwell

Skyhouse_2. Slide

Skyhouse_3. Living Room

Skyhouse_4. Center Bedroom

Skyhouse_6. Process

Skyhouse_7. Film