Sleeping nooks that look like the grooves in a block of cheese.

A passage between the walls for hide and seek.

ICON developed its Vulcan I 3D printer over a period of about two years. The gantry-style printer on rails is mobile and weighs about 2,000 pounds.

The original home’s second floor had three bedrooms with flat ceilings. Arch11 quickly realized there was a great volume in the upper floors at the gable ends of the home and chose to integrate the attic space into the second floor. This design move allowed the interior to be informed in part by the exterior while creating a bright, serene living space among the treetops.

An archival photo shows the interior of the detached studio with drafting tables awash in light through the enormous skylight above.

Built in the early 60s, the separate concrete-and-glass studio echoes the original home.

Thanks to the extension’s vaulted ceiling, the master bedroom and minimalist staircase have views of the sky. Polly admits to having sacrificed floor area so that the full-height stairwell could achieve a stronger connection with the outdoors. Toyo Ito Mayhuma pendants hang from the ceiling, accentuating the space’s dramatic height.

House O, designed by Jun Igarashi, forgoes hallways and interior doors in favor of casually interconnected rooms.

In one of the three bedrooms, Wright designed a built-in desk and graphic chair. The angular windows and skylights are continued into the bedrooms.

Designed by Belgium architectural studio OYO Architects, this 1,883-square-foot family residence in Maldegem, East Flanders, was conceived with a single green roof that meets the grass at ground level. The concrete base of the structure supports a lightweight timber frame, which was assembled in a local warehouse before being mounted on site. Different plants are grown on the green roof throughout the seasons.

2206 Parklands Lane, Saint Louis Park, MN 55416

Though this home is close to downtown Minneapolis, it sits on a quiet, 3.77-acre piece of land. When you approach the brick home, it immediately becomes clear that it’s a Frank Lloyd Wright-designed home—thanks to its wing-like shape and Cherokee Red-painted steps.

Completed in 1946, the Booth House was originally built for an advertising executive and his wife before becoming a rental property in 1955 for the architectural photographer Robert Damora, and architect Sirkka Damora. The Damoras later purchased the home and have lived there ever since. Now 93 years old, Sirkka has been seeking a new owner for this piece of architectural history. Litigation over the title means that the Booth House could face being torn down—so its buyer will also be its rescuer.

In this photo of the Diamond Street House taken by Julius Shulman, Lyster Brock (left) stands next to his brother on his father's roof truss.