As you come out of the church, you will find the entrance to the cloisters on the left. The so-SPANISH called Green Cloister is worth noting. It was built in 1350 and called "green" because of the color of the frescoes that used to decorate it.

These are now conserved in the refectory and the ones most worth admiring are those painted around 1440 by Paolo Uccello. The painter paid special attention to the perspective in the scenes showing the Deluge and Noah's Ark.
The crowning glory of the cloisters is the large 14th century chapel called, since the 16th century, the Spanish Chapel since it was reserved at the time for the Spanish members of the court of Eleonora of Toledo, the Duchess.
The Gothic ambience is entirely covered in frescoes by the Giottesque painter known as Andrea da Firenze. In 1355 he painted here the stories of Jesus Christ and of St Peter, as well as the triumph of St Thomas Aquinas and of the Dominican order. In this particular scene, you can see a great church and it is the original model for Florence's Cathedral of Santa Maria del Fiore.