In a large bowl, whisk together flour, baking powder, baking soda, and salt.  Add the sliced butter pieces into the flour mixture. Using your hands (or pastry cutter), cut (rub and flatten) each piece of butter into the flour mixture until small pea-sized pieces remain.  Next, pour the buttermilk and eggs into a measuring cup. Then, pour the mixture into the flour.  Stir with a wooden spoon until a somewhat sticky, wet dough forms.

Cover the bowl with saran wrap and place it in the refrigerator to chill for 30 minutes or up to overnight, if you have time.  Remove the dough from the refrigerator.  On a lightly floured surface, knead dough briefly just to bring it together. The dough will be reasonably smooth. With a rolling pin, roll the dough out to about 1 to 1 1/2 inches thick.  Cut with a ring or biscuit cutter. Place the biscuits baking tray (9 by 13-inch). Chill, again, while preheating the oven to 400° F. Brush the biscuits with the melted butter. Bake for 30-35 minutes. Definitely watch them and remove from the oven if lightly browned and very well risen.  Cool for about 5-10 minutes before serving. Enjoy!