The described building is the Woolworth Building, an iconic skyscraper in New York City designed by Cass Gilbert and known for its unique terra-cotta tiles and vertical piers.
The building in question, based on your description, is likely the Woolworth Building in New York City. Designed by architect Cass Gilbert, the Woolworth Building was a skyscraper that stood out in the skyline when it was completed in 1913.
Its white-glazed terra-cotta tiles and the vertical piers that accentuate the height of the building contribute to its distinctive appearance.
Alongside other iconic buildings mentioned such as the Seagram Building by Ludwig Mies van der Rohe and Johnson's AT&T Building, these structures represent significant architectural achievements and reflect different periods and styles in the American skyscraper design.