Preheat oven to 425 F.
In the bowl whisk together the warm water, milk, yeast, eggs and sugar. Beat until it becomes frothy.
Now gently add the flours, salt and butter. Make a dough, knead it until the dough is smooth and elastic.The dough should stretch without breaking but will still be very slightly sticky to the touch.
Divide the dough into golf size equal round pieces.
Transfer to your baking sheet, placing them a few inches apart. Cover and rest for 1-2 hours, or until puffy and slightly risen.
Brush the buns with egg, place the baking dish on the oven floor. Bake it until golden brown.
Leave to cool and then enjoy.