Melt Butter and Combine with Sugar: In a large bowl, combine the melted butter and granulated sugar. Whisk together until smooth.
Add Eggs and Vanilla: Beat in the eggs one at a time until fully incorporated. Stir in the vanilla extract. The mixture should be glossy.
Combine Dry Ingredients: In a separate medium bowl, whisk together the flour, cocoa powder, baking powder, and salt.
Combine Wet and Dry: Gradually add the dry ingredients to the wet ingredients, mixing on low speed with an electric mixer or by hand until just combined and a thick, sticky dough forms. Do not overmix.
Chill Dough: Cover the bowl with plastic wrap and chill the dough for at least 4 hours, or preferably overnight. Chilling is crucial for the dough to firm up and for the cookies to hold their shape and crinkle beautifully.
Preheat Oven and Prepare Powdered Sugar: When ready to bake, preheat your oven to 350°F (175°C). Place the powdered sugar in a shallow bowl.
Roll Cookies: Scoop rounded tablespoons of the chilled dough and roll them into balls, about 1 inch in diameter. This is easier if your hands are lightly floured or slightly damp.
Coat in Powdered Sugar: Roll each dough ball thoroughly in the powdered sugar, ensuring it's completely coated. This heavy coating is what creates the beautiful crinkle effect. Place the coated balls 2 inches apart on ungreased baking sheets.
Bake: Bake for 10-12 minutes. The cookies will spread and the powdered sugar will crack, creating the signature "crinkle" look. The centers should still be slightly soft.
Cool: Let the cookies cool on the baking sheets for a few minutes before transferring them to a wire rack to cool completely.