Whisk together the egg and 1 Tablespoon water. Cover work surface with plastic wrap. Place strips of dough on plastic alternating green, white and red. Brush tops and in between the strips with egg wash. Gently press strips together. Repeat, forming second and third layers, alternating colors to create a checkerboard effect. Wrap assembled log in plastic. Repeat process for second and third log,reversing color patterns. Refrigerate 30 minutes or freeze 15 minutes.