One day
Start at the Teatro Olimpico for the perspective stage, then the Palazzo Chiericati gallery nearby. Walk the Corso Palladio past the palaces to the Piazza dei Signori and the Basilica Palladiana, with a baccalà lunch in the centre. In the afternoon, head up to Monte Berico for the basilica and the city view, then on to the Villa Rotonda and Villa Valmarana on the hillside below before returning for an aperitivo on the piazza.