Apple Napoleons

Preheat the oven to 400°F. In a small bowl, combine the cinnamon and sugar. Place the pastry on a lightly floured work surface. Sprinkle evenly with 2 tablespoons of the cinnamon mixture. Carefully roll out the dough to 1/8 inch thick. Cut out eight 3-inch squares, and place on a parchment-lined baking sheet. Cover with more parchment and another baking sheet. Chill in freezer until firm, about 15 minutes.

Bake pastry in oven until crisp and lightly browned, about 30 minutes. Remove top parchment and baking sheet. Transfer, with bottom parchment, to a wire rack, and let cool.

Meanwhile, in a medium saucepan, melt the butter over medium-high heat until foam subsides. Add the apples; cook, stirring occasionally, until golden brown, about 7 minutes. Add the remaining cinnamon mixture. Cook until the apples are tender but not falling apart. Let cool completely.