When a new home for the American Folk Art Museum opened on West 53d Street in Manhattan in 2001 it was hailed as a harbinger of hope for the city after the Sept. 11 attacks and praised for its bold architecture.

“Its heart is in the right time as well as the right place,” Herbert Muschamp wrote in his architecture review in The New York Times, calling the museum’s sculptural bronze facade “already a Midtown icon.”

Now, a mere 12 years later, the building is going to be demolished.

In its place the adjacent Museum of Modern Art, which bought the building in 2011, will put up an expansion, which will connect to a new tower with floors for the Modern on the other side of the former museum. And the folk museum building, designed by Tod Williams and Billie Tsien, will take a dubious place in history as having had one of the shortest lives of an architecturally ambitious project in Manhattan.

“It’s very rare that a building that recent comes down, especially a building that was such a major design and that got so much publicity when it opened for its design — mostly very positive,” said Andrew S. Dolkart, the director of Columbia University’s historic preservation program. “The building is so solid looking on the street, and then it becomes a disposable artifact. It’s unusual and it’s tragic because it’s a notable work of 21st century architecture by noteworthy architects who haven’t done that much work in the city, and it’s a beautiful work with the look of a handcrafted facade.”