Whip the butter with a hand mixer until smooth. Sift in the powdered sugar and whip again until light and fluffy.
½ cup salted butter, ½ cup powdered sugar
Pour in the vanilla extract and whip again until well combined.
1 teaspoon pure vanilla extract
Sift in the flour and mix just until combined.
1⅛ cup all-purpose flour
Lay out a sheet of cling wrap and scrape the dough out in the center of it.
Form the dough into a 4-5 inch long cylinder that has roughly a 1-inch diameter.
Wrap the cling wrap around the dough and refrigerate it for 3-4 hours, or until the dough is very hard.
10 minutes before removing the dough from the refrigerator, preheat oven to 300°F and prepare a large baking sheet with parchment paper or spray it with nonstick spray.
Remove the dough from the refrigerator and remove the plastic wrap.
Cut 15 (2-3 centimeter thick) pieces from the dough.
Lay them out on the prepared baking sheet a half-inch apart from each other. These cookies will barely expand, so no need to worry about space.
Bake for 15-20 minutes, or until the bottom turns a light golden color.
Remove them from the oven and let them cool before removing them from the pan and letting them cool completely on a cooling rack. Then serve.