Quarter in culinary term means (1) to divide into 4 equal parts (2) one fourth, as in one fourth cup of water; and (3) period of three months, as in a food should be eaten after a period of 3 months.
Quadrucci is a variety of tiny squares and cubes fresh or dried pasta that usually made with eggs, and added to soups or broth. These tiny egg pasta squares are ideal for giving extra