Why It’s Cool: Frank Lloyd Wright used some guesswork to make sure Fallingwater didn’t fall; today, computers do the heavy lifting. They also permit farfetched forms that may have once worked only on paper, such as this 2005 building, which makes a genre-defying 90-degree clockwise rotation as it rises. Like many recent horizon-altering structures, Turning Torso combines a mix of uses, which has been a sure way for development to get funded; in fact, the 656-foot high-rise, which is Scandinavia’s tallest, tucks offices on floors one through 10, and apartments above them, allowing in-house commutes.
How to Visit: There no tours, but 30-person talks take place on the 7th floor (free, with reservations). The next-door shopping mall has an interactive exhibit on the tower, plus restaurants.