This place is simply amazing! I knew about the Villa Capra (which is also known as the Rotunda), because of the film-opera "Don Giovanni" by Joseph Losey and I can assure you that this sixteenth-century villa (which was built by the architect Andrea Palladio) is a pure wonder! The best is when you go inside ...
First you see the beautiful ceiling statues, and then the beautiful gardens. Here nature is king: there are birds of many colors, plants, animals, etc.. Unfortunately the day I went I could only see the outside because it was all closed (the town only organizes tours in the summer (check beforehand at the Padua Tourism Office.) Note that the channels that you see next to the house in Losey's film do not exist, they were added by the director.
This beautiful, Gothic style building is famous for being the home of Antonio Pigafetta of Vicenza (1492-1531), who accompanied the navigator Ferdinand Magellan on his famous voyage, when the Earth was circumnavigated for the first time. The palace was built by Stefano da Ravenna around 1440, and at the end of the century, Matthew Pigafetta added the wooden Renaissance door. It's a beautiful building, with rich decorations in Nanto or Vicenza stone. On the lower part of the facade, the motto "n'est sans Espine roses" is carved, meaning "there is no rose without a thorn", a tribute to the family coat of arms of Pigafetta. The house, which is located just behind the Palladian Basilica, is currently being restored, but is privately owned, so you can not visit the interior. But it's definitely worth going to take a look at the outside, especially when the sun is shining on the facade.
The Cordellina Palace is located in one of the narrow streets in the historic centre of Vicenza. It dates back to the late 1700's, and was designed by architect Otto Calderari. It's currently owned by the Bertoliana Library. The palace was recently restored completely, up to, and including the interior frescoes by Guidolini and Chiesa. It is now used by the Library and the City of Vicenza to host exhibitions and conferences. The first of these took place at the end of 2011, in memory of the writer Fogazzaro, who was a native of Vicenza.