The traditional heart of Munich is this large pedestrian-only square named in honor of the Virgin Mary, a gilded version of whom gazes benevolently down from the tall stone column in the middle of the square. On the north side is the Neues Rathaus (New City Hall), bristling with spires in full-on 19th-century Gothic Revival style, and famous for its Glockenspiel. Like hiking? Huff-and-puff your way up the 55 steps of the tower (you can also hop on an elevator) and take in the city panoroma (tower admission 1.50€; open Monday to Friday 9am–7pm and Saturday to Sunday 10am–7pm). To the right of the Neues Rathaus stands the building it replaced, the 15th-century Altes Rathaus (Old City Hall), with its much more plain but authentically Gothic tower.