Apple-Rosemary Lattice Pie

Make the crust: Pulse flour, sugar, cornmeal, rosemary, salt, and butter in a food processor into pea-size crumbles. Add water; pulse until dough comes together. Form ⅔ dough into a flat disk; repeat with remaining ⅓ dough. Wrap disks in plastic wrap; chill for 1 hour.

On a lightly floured surface, roll larger disk of dough into a 12" round. Fit dough into a 9" pie plate. Trim edges, leaving about 1" dough overhanging edge of plate. Roll the smaller disk into an 8" square. Slice into 8 strips; chill both doughs 30 minutes.

Make the filling: Toss apples, ¾ cup sugar, cornstarch, 1 tbsp. cinnamon, lemon juice, vanilla, and salt in a large bowl. Arrange apples evenly over dough in the pie plate; dot with butter. To make the lattice, lay 4 dough strips horizontally across top of pie, fold first and third strips back on themselves, then lay another strip perpendicular to them, just off center. Unfold first and third strips, fold back second and fourth strips, then lay another strip to the right of first perpendicular strip. Repeat weave pattern with remaining dough strips; chill 30 minutes.

Heat oven to 400°. Trim edges of dough and crimp. Brush with egg mixture; sprinkle with 1 tbsp. sugar and remaining cinnamon. Bake until crust is golden brown and apples are tender, about 1 hour. Let cool completely before serving.