- In the bowl of a stand mixer (alternatively you can mix and knead the dough by hand), whisk together the warm milk, sugar, and yeast. Let stand 5 minutes. The mixture should start to foam and/or bubble. If nothing happens after 10 minutes, start over with new yeast. 
- Add the egg, flour, salt and 4 tablespoons butter to the bowl. Mix using the paddle attachment until combined. The mixture should be only slightly sticky when you touch it with your finger; if it is very sticky, mix in more flour, 1 tablespoon at a time, until the dough is only slightly sticky. 
- Switch to the dough hook and knead the dough on low speed for 8 minutes. Then transfer the dough to a lightly oiled bowl and cover with a clean kitchen towel. Let it rise for about 1 hour, until doubled in size. 
- Grease a 12-cup muffin tin with butter or cooking spray. Transfer the dough onto a lightly floured work surface and knead it briefly to release any large air bubbles. Divide the dough into thirds. Roll each third into a 12-inch long rope. Then cut each rope into 12 equal pieces. (You will have 36 small pieces of dough).  
- Roll each piece of dough into a smooth ball. Place 3 balls, seam side down, in each muffin cup. Cover the muffin tin loosely with a kitchen towel and let rise for 20-30 minutes. 
- Meanwhile, preheat oven to 375° F. Bake the rolls for 15-17 minutes, until golden brown on top and cooked through, rotating the pan halfway through baking. 
- Mix together the melted butter and honey. Brush the honey butter over the rolls as soon as the come out of the oven. Let cool for 5 minutes, then serve.