MAKE THE TARTE
Preheat oven to 400°
On a lightly floured table, roll the puff pastry into a 10-inch diameter, approximately 1/8-inch think, then return to the refrigerator.
Peel the squash, remove the seeds and slice into 1/2-inch wedges
Slit and scrape the vanilla bean into the granulated sugar. Add cinnamon clover and allspice and whisk until incorporated. Remove the bean pod.
Line a 9-inch cast iron skillet with the 1/4-inch slice of butter and the sugar mixture. Begin tightly placing the squash into 2 layers.
Place the skillet over high heat and continue to cook until the sugar reaches a rich golden brown and is fully caramelized.
Place the refrigerated puff pastry on top, rolling the edges inward to resemble a pie crust. Brush with butter, sugar, and then pierce dough before placing in the preheated oven for approximately 30-40 minutes, or until the puff is properly baked throughout, to prevent a soggy crust.
Remove the tart from the oven and allow to cool before inverting onto a platter.
Just as the Tartin sisters preferred theirs, we suggest a drizzle of Burnt Caramel Sauce and some vanilla ice cream or cream fraiche.