Photo: Wojtek Laski / East News The Flatiron Building, originally the Fuller Building, is a triangular 22-story steel-framed landmarked building located in New York City, built in 1902 at the intersection of Broadway and Fifth Avenue,The distinctive triangular shape of the Flatiron Building, designed by Chicago architect Daniel Burnham allowed it to fill the wedge-shaped property. New York, June, 2005.