Preheat oven to 400°. Mix flour, cornmeal and salt. Cut in cheese and butter until crumbly. Stir in water; mix well.
Divide dough in half; cover half. On a lightly floured surface, roll 1 portion into a 14x8-in. rectangle. Cut into 7x1/2-in. strips; place on a baking sheet. Grasp strips at each end and twist in opposite directions, pressing ends onto sheet to help them hold their shape. Repeat with remaining dough.
Bake until lightly browned, 8-10 minutes; immediately sprinkle with Parmesan cheese. Remove from baking sheet; cool on a wire rack.