Line a baking sheet with parchment paper, coating it with room temperature butter or a light coating of butter spray.
Combine all purpose flour, salt, sugar, baking powder and baking soda in a large bowl and stir, either by hand or with a whisk.
Use the largest holes of a hand grater to grate your frozen butter. If you don't have a grater, you can just cut the butter into very small pieces.
Add shortening and use your fingers or a pastry cutter to pinch the shortening into the flour until the mixture is the consistency of course crumbs.
Add frozen butter to the mixture and toss until pieces are completely coated.
Pour in buttermilk and gently mix until no dry flour is left. Your dough will be sticky.
Lightly coat your working space with flour and place the dough on your prepared surface, patting it until a 1/2 inch thick rectangle.
Sprinkle the dough with flour and fold in thirds, as if you're folding a letter.
Repeat sprinkling the dough with flour and fold twice more, rotating the dough 90 degrees each time.
Roll the dough until the thickness is about 3/4 of an inch. It should no longer by sticky by now.
Gently dip the biscuit cutter in flour and into the dough. Push straight down without twisting so that you don't seal the edges. Combine scraps, rolling them into dough 3/4 inches thick and cut more biscuits.
Transfer biscuits to baking sheet and chill for 15 minutes in the refrigerator (this is a good time to preheat the oven)
Bake your biscuits at 450° until the tops are golden and crisp, about 15-16 minutes.
Let cool on the pan for about five minutes, then serve warm. For extra goodness, add a pat of butter to the top as they're cooling.