Break the eggs into a large bowl, saving the most intact half-eggshell. Beat eggs and water together.
Add 3 cups of flour and the salt to form stiff dough. Roll out dough into a rectangle about 1/8-inch thick on a well-floured cutting board or countertop
Allow the dough to dry for about 10 minutes, turning occasionally
When dough is dry but still pliable, cut into long sections about 3 inches wide. Take 3-inch sections and cut into thin strips about 1/8-inch wide. Cut strips into preferred lengths for cooking.
Place cut noodles on a dish towel and fluff noodles so air can circulate around them. Allow cut noodles to dry thoroughly, at least overnight or longer if necessary. If noodles won’t be cooked right away, store them in a sealed plastic bag in either the pantry or the freezer for up to six months.