The layered finish that tops this apple pie from our Pies & Tarts book is created by shingling the leaves. Pastry cutouts in any shape can be arranged in this manner; here, a flurry of leaves accentuates the pie's autumnal nature.
On a lightly floured surface, roll out 1 disk of dough to a 13-inch round, 1/8 inch thick. Fit into a 9-inch pie pan. Trim excess dough flush with rim. Refrigerate or freeze until firm, about 30 minutes.
Roll out remaining 2 disks of dough about D inch thick. Place on a parchment-lined baking sheet, and refrigerate or freeze until firm, about 30 minutes. Using a 2 1/4-inch leaf-shaped cutter, cut out about 65 leaves, and place them in a single layer on the baking sheet. Refrigerate until firm.
Preheat oven to 400 degrees F. In a large bowl, toss apples with flour, brandy, vanilla, sugars, cinnamon, nutmeg, allspice, and salt. Fill pie shell with apple mixture. Dot with butter.
Score leaves with a paring knife to make veins. Lightly brush edge of pie shell with water. Lightly brush the back of each leaf with water; beginning with the outside edge, arrange leaves in a slightly overlapping ring. Repeat to form another ring slightly overlapping the first. Continue until only a small circle of filling is left uncovered in the center.
In a small bowl, whisk together egg yolk and heavy cream. Carefully brush top of leaves and pie edge with egg wash, and sprinkle generously with sanding sugar. Refrigerate or freeze until firm, about 30 minutes.
Place pie on a parchment-lined baking sheet, and bake until crust just begins to brown, about 20 minutes. Reduce heat to 350 degrees F, and continue baking until crust is golden brown and juices are bubbling, 85 minutes. Transfer pie to a wire rack to cool completely.