In a dry bowl, mix together the semolina, powdered sugar, baking powder and vanilla well.
Wash, peel and coarsely grate the fruits, mix them with the sugar and cinnamon.
Butter a tray and lay on a 1/2″ (1 cm) thick layer of the dry mixture.
Throw on some of the fruit mixture on top by hand.
Alternate between the 2 mixtures this way. Finish off with dry mixture.
Cover with the finely chopped pieces of butter, distribute them evenly along the entire surface.
Bake in a preheated 356°F (180 °C) oven until reddened.
Once cooled, cut it and sprinkle with powdered sugar.