Remove the dough logs from the refrigerator. Unwrap logs of vanilla dough and logs of chocolate dough. Cut the vanilla log in half lengthwise; then cut each piece in half lengthwise again (you should have 4 pieces of dough); set aside. Repeat with chocolate dough. Lay a strip of chocolate dough next to a strip of vanilla dough lengthwise so they are touching. Top the chocolate strip with a vanilla strip; and top the vanilla strip with a chocolate strip. Gently press all 4 strips together so they adhere to one another. Repeat cutting and assembling with remaining log of vanilla and chocolate dough. Wrap tightly in plastic wrap and refrigerate at least 1 hour.