Divide each rested dough into two equal pieces. Keep the pieces covered when not in use.
Take one piece of the orange dough and place on a floured surface.
Roll the orange dough into a thin sheet using a pasta machine or rolling pin, until it is about 1/16th inch (1.5 millimeters) thick. Cover the sheet with a towel.
Take one piece of the white dough and roll into a thin sheet using a pasta machine or rolling pin, until it is about 1/16th inch (1.5 millimeters) thick.
Cut the rolled white sheet into straight or wavy lines about 2 inches (5 centimeters) wide.
Lightly moisten the top of the orange sheet with a damp paper towel.
Arrange the cut strips of the white dough diagonally over the orange dough, leaving about 3-4 inches (7-10 centimeters) of orange between the stripes.
Gently press a rolling pin across the sheet to seal the white strips onto the orange dough. Cover the sheet with a towel.
Take one piece of the black dough and roll into a thin sheet using a pasta machine or rolling pin, until it is about 1/16th inch (1.5 millimeters) thick.
Cut the rolled black sheet into straight or wavy lines about 1/8-1/4 inch (3-6 milliliters) wide. Cut the strips into about 2-3 inch (5-7.5 centimeter) pieces to make the black stripes.
Lightly moisten the top of the orange and white sheet with a damp paper towel.
Arrange the cut strips of the black dough perpendicular to the white strips over the orange dough, leaving enough space between the stripes to show the orange and white colors.
Gently press a rolling pin across the sheet to seal the black stripes onto the dough.
Roll the dough into a thin sheet using a pasta machine or rolling pin, dusting with flour as needed to prevent sticking, until it is about 1/16th inch (1.5 millimeters) thick and all the colors are sealed together.
Use a pastry cutter or pappardelle cutter to cut the sheet into ribbons about 1 1/4 inch (3 centimeters) wide.
Arrange the Pappardelle into small nests on a parchment-lined baking sheet or hang on a pasta drying rack to dry for 30 minutes. Repeat with remaining dough.
Bring a large pot of salted water to a boil. Add the pasta in batches, careful not to overcrowd, and boil until they rise to the surface and are just tender, about 2-3 minutes if fresh.
Drain and serve immediately with desired sauce.