According to culinary legend, the original tarte tatin, now one of the glories of the French dessert repertoire, was invented accidentally by the Tatin sisters, Stéphanie and Caroline, in Lamotte-Beuvron, near Orléans, in the 1850s. Caroline apparently forgot to put the pastry dough in the pie tin before filling it with buttery, sautéed apples. She put it on top of the pie instead, and once it was cooked, she turned the whole thing over to display its caramelized bottom. Voilà.