The splendid Teatro Olimpico was Palladio’s greatest urban work, and one of his last. He began the project in 1580, the year of his death at the age of 72; it would be completed 5 years later by his student Vicenzo Scamozzi. It was the first covered theater in Europe, inspired by the theaters of antiquity.
http://www.officeoftourism.org/europe/italy/Veneto/vicenza.asp