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Source: World-3

The Kreuzberg Tower, Berlin, Germany, 1988 designed by John Hejduk

Hejduk’s project is composed of a 14 story tower with two separate 5 story wings. The neutral colored tower and wings feature green geometric shapes attached to the facades. These extrusions serve as balconies and sun shades for the low income housing units. -- ArchDaily

Source: Richard Meier & Partners Architects

Neugebauer House, Naples, Florida, USA, 1998 designed by Richard Meier & Partners Architects

covered by a steel-frame butterfly roof cantilevered off paired steel stanchions at 15-foot centers. This roof, finished with a stone-paneled rain screen, satisfies the community requirement for a pitched roof while reinforcing the house’s orientation toward the water.  This giant canopy/roof running is augmented by clerestory louvers made up of one-inch diameter horizontal aluminum tubes plus a ceramic frit superimposed on the zenithal glazing of the main corridor.-- ArchDaily

More from architect's web site 

Source: Machado and Silvetti Associates

Boston Public Library, Honan-Allston Branch, Allston, Massachusetts, USA, 2001 designed by Machado and Silvetti Associates

The warm material palette is made up of slate shingles and panels, rough slate blocks, and wood cladding. Natural finished wood windows are used with a combination of fixed and operable units. The interior floors are a combination of wood and cork which shares the same warm tones of the exterior materials. -- architect's web site

Source: archdaily.com

Inotera Headquarters & Production Facility, Taipei, Taiwan, 2004 designed by tec Design Studio

Aluminum wrapped steel for earthquake stabilization, weave the building to the ground. -- ArchDaily

Source: Lieven Van Landschoot archdaily.com

New Technical Institute, ECAM – Site UCL, City of Brussels, Belgium, 2007 designed by MODULO Architects + KhôZé Architecture

The complex demands of ECAM and especially the demand to incorporate a large number of auditoria into a small volume restricted by urban legislation demanded a rather unusual structural solution. In the entire western wing, in which most of the auditoria can be found, precast concrete treads where used instead of traditional horizontal floors. The treads eliminated the need for additional tribunes and made it possible to stack the auditoria on top of each other, an unconventional but very space efficient and characteristic solution. -- ArchDaily

Source: Daici Ano archdaily.com

Azumaya, Chiba, Chiba Prefecture, Japan, 2007 designed by Yuko Nagayama & Associates

The shape resembles a megaphone or boxed water glass, from which you can look into a sea. The square frame combined with 34mm-thick timbers is laid out in a continuous way like louver from inside to the outside at equal distance, where only the inside parts of the frame, plywood with randomly small holes is attached as a window. -- ArchDaily

Source: archdaily.com

Refuge in the Countryside, Artá, Mallorca, Spain, 2007 designed by Juan Herreros Arquitectos

The project converts an existing vernacular structure that formerly served as a refuge for shepherds into a small residence for occasional use. The approach consisted of replicating the original volume symmetrically to conserve the original conditions and technical function of an apparently innocent construction that was designed intelligently where its orientation, ventilation and water collection facilities, etc. were concerned.  -- ArchDaily

Source: construction.com

Well Hall, Lantian, China, 2008 designed by maDA s.p.a.m.

High solid walls and M-shaped roofs in this part of China have historically served dual purposes: collecting water into a central well and deterring thieves from the nearby mountains. The M shape also allowed for two short end beams instead of one long one, an economical way to build in poor villages. -- Architectural Record

Source: archdaily.com

Hoogeveen house, Hoogeveen, The Netherlands, 2008 designed by Bureau B+O

The design team enforced restraint with respect to the brief and surroundings to produce a tasteful, contemporary icon for the city. This resulted in a design of retro-classical style with a mixture of urban and environmental qualities which help the occupants engage in sustainable and practical living. The house is placed around an enclosed garden with a long driveway, creating a sufficient distance from the neighbours for even more privacy.  -- ArchDaily

Source: Chad Kirkpatrick archdaily.com

Rolling Huts, Mazama, Washington, USA, 2008 designed by OSKA Architects

The construction of each hut is simple. It is, in essence, an offset, steel clad box on a steel andwood platform. Living occurs not only in the 200 sq ft inside the box, but on the 240 sq ft of covered deck space surrounding it. Interior finishes – cork and plywood – are simple, inexpensive, and left as raw as possible. Exteriors are durable, no-maintenance materials – steel, plywood and car-decking. The huts are grouped as a herd: while each is sited towards a view of the mountains (and away from the other structures), their proximity unites them. They evoke Thoreau’s simple cabin in the woods; the structures take second place to nature. -- ArchDaily

Read an article from Architectural Record 

Source: Tim Hursley archdaily.com

Strickland-Ferris Residence, Raleigh, NC, USA, 2008 designed by Frank Harmon Architect PA

....a very large, butterfly-shaped roof to open views northwards to the creek and to funnel rainwater into a collection system on the south side. -- ArchDaily

Source: Eric Staudenmaier archdaily.com

Treehouse, Nichols Canyon, Los Angeles, California, USA, 2009 designed by RPA

Working together once again on this project, architect and client were able to revisit some of the design elements that they had originally explored in a different context, such as the striking butterfly roofline. Perched atop steel pylons that abstractly emulate natural branches, the project is not literally a tree house but rather a modern interpretation of one. -- ArchDaily

Source: Atelier Zündel & Cristea archdaily.com

Fonderie, Mulhouse, France, 2009 designed by Atelier Zündel & Cristea

To achieve a volume of adequate urban proportion, capable of strengthening the islet’s corner, and given the smallness of the basement, we built a partial third floor at an angle, in which the technical and archival premises were placed. Rather than treating it as a uniformly assembled mass, we followed, in the cutting of the roof, the principle of the blueprints that called for a “snail” organization of the various offices. This principle is supported by the presence of recesses in the roof, which allow it to adapt to variations in height. -- ArchDaily

Source: construction.com

1300 Highland Avenue, Manhattan Beach, California, USA, 2009 designed by KAA Design

Imagining 1300 Highland as an urban village, the architects distributed its 34 units among five small buildings linked by outdoor circulation.

To open the units—ranging between 320 and 350 square feet—to daylight and breezes, the architects gave the buildings butterfly roofs with transoms. Each has a balcony or patio. -- Architectural Record

Source: Jeffery S. Poss Architect archdaily.com

Meditation Hut III "Victor", Champaign, Illinois, USA, 2010 designed by Jeffery S. Poss Architect

Throughout the day water reflections are projected onto the soffit. The roof channels rainwater to a central spout over the pond. -- ArchDaily

One of the winners of AIA's 2011 Small Project Awards

Source: Marcel van der Burg

V-House, Leiden, The Netherlands, 2010 designed by GAAGA

V- HOUSE is a white stucco abstract looking house of which the V-shaped roof is its most striking feature. The roof is constructed of wood and is modeled after a common saddle roof, the only difference being that the top is turned downwards, resulting in a dip at the centre of the house.The roof is an important constituent of the architecture. From the outside, the V-shaped roof gives the house its distinguishing appearance and from the inside, it vitalizes and intensifies the interior space.  -- ArchDaily

Source: Iwan Baan archdaily.com

House on the Flight of Birds, Ribeira Grande, Portugal, 2010 designed by Bernardo Rodrigues

Since the microclimate of this farmland offers frequent wind and showers, the first design strategy was to block these winds with a wall, and offer diverse patios and covered courtyards to protect against rain. These patios and courtyards also open all living spaces to the natural green by glass walls, which receded from the exterior.  -- ArchDaily

Source: Anice Hoachlander

Harkavy Residence, Potomac, Maryland, USA designed by Robert Gurney Architect

The house is composed of three volumes articulated with varying roof forms. A two-story wood volume anchors the composition. A butterfly-shaped roof is employed to open views southward and sloped to funnel rainwater into a collection system. Large overhangs provide a sense of shelter and shade the openings below while maximizing sun exposure in the winter.  -- ArchDaily

Source: Lindman Photography archdaily.com

Widlund House, Sandvik, Öland, Sweden, 2011 designed by Claesson Koivisto Rune Architect

This house is like a funnel of light, space and sea views. The location is the west coast of the Baltic island of Öland. The white concrete box is “corsetted” in the middle, creating slightly sheared wall and roof angles. This gives the house both its direction and character, while also marking the difference between the rear private two-storey bedroom part and the communal double ceiling-height front part. -- ArchDaily

Source: CI&A Photography archdaily.com

Vanke Triple V, Tianjin, China, 2011 designed by Ministry Of Design

Despite its obvious sculptural qualities, the building’s DNA evolved rationally from a careful analysis of key contextual & programmatic perimeters – resulting in the TRIPLE V GALLERY’S triangulated floor plan as well as the 3 soaring edges that have come to define its form. -- ArchDaily

Source: construction.com

Emily Couric Clinical Cancer Center, Charlottesville, Virginia, USA, 2011 designed by ZGF Architects

Using steel, concrete, and composite metal decking for the structure, the architects defined the patient areas with glass on the south facade and used brick on the north end, where staff and support spaces are located.  -- Architectural Record

Source: Sun Namgoong archdaily.com

The Curving House, Gyeonggi-do, Korea, 2012 designed by JOHO Architecture

The shape created here contains the sky as an earthenware jar and displays the potentiality of land as a spatial substance. It draws a shape, but creates a space that shows the sky outside the shape to hide itself in nature. -- ArchDaily

Source: Aaron D’Innocenzo archdaily.com

Jackrabbit Wash, Joshua Tree, California, USA, 2012 designed by Aaron D’Innocenzo

This house was designed and hand built entirely by the owner as his first major project after graduating with a Master in Architecture. As a result of its passive solar design, the house is able to heat and cool itself year-round, with no external energy input from traditional HVAC systems. -- ArchDaily

Source: Christoper Frederick Jones archdaily.com

Montville Residence, Australia, Albuquerque, New Mexico, USA, 2012 designed by Sparks Architects

The draped roof of the building, a subtle echo of the sites topography, allows for appropriate pitch and northern orientation for the photovoltaic array, direct rainwater feed to the internal tanks and appropriate shading for winter and summer sun angles. -- ArchDaily

Source: Mathieu Ducros archdaily.com

INES – French National Solar Energy Institute, Savoie Technolac, 60 Avenue du Lac Léman, 73370 Le Bourget-du-Lac, France, 2013 designed by Atelier Michel Rémon + Agence Frédéric Nicolas

The glass roof of the atrium is designed on the same north- south axis, with a slight 10° difference. While the building’s position is designed taking its position on the ground into account, its roof maximises the use of the sun and the wind.   -- ArchDaily