is one of the Medici villas in Castello, near Florence, Tuscany, central Italy. It has a distinctive 19th century Belvedere on the upper east terrace on axis with the view of Florence.
In 1364, the "palace" of Petraia belonged to the family Brunelleschi until in 1422 Palla Strozzi bought it and expanded it by buying the surrounding land. In the first half of the sixteenth century, the villa became the property of the Salutati, who then sold the villa to Cosimo I de' Medici in 1544, who gave it to his son, Cardinal Ferdinando in 1568.
Then from 1588, there was a decade of extensive excavation works which transformed the "stony" nature of the place (hence the name in Petraia, that is full of stones) into dramatic sequence of terraces dominated by the massive main building .
It's traditionally attributed to Bernard Buontalenti, even though the only documented certainty is presence on site of Raphael Pagni.