Knead all ingredients, except the Cake butter and the Croissant butter, for 3 minutes on the lowest setting and 5 minutes on high speed.
Add the Cake butter and knead for 9 minutes.
Let the dough rest for 30 minutes.
Roll out the dough according to the size of the baking tray, wrap in plastic and refrigerate overnight.
Fold the croissant butter into the dough.
Turn the dough once single (1 x 3) and once double (1 x 4).
Let the dough rest for 1 hour.
Roll out the dough to 1 cm thick.
Cut into strips 12 cm long and 1 cm wide.
4 pieces become one brioche.
Bind the buns and leave to rest at room temperature wrapped in plastic or in a proofing box until small cracks appear between the dough and butter layers.
Set the oven to 210°C and immediately reduce the temperature to 190°C.
Start with 12 minutes, open the door and bake for a few minutes until golden brown.