Preheat the oven to 400°. Butter 2 small ramekins and dust with white sugar.

Place apple slices on a plate, overlapping slightly if necessary. Microwave on high about 45 sec just until slices have softened a bit. Cover plate with plastic wrap and a kitchen towel.

Mix together sugar and cinnamon in a bowl.

Roll puff pastry sheet to less than 1/8 inch thickness. Using a pizza cutter, cut 2-3 inch by 12 inch rectangles. Reserve remaining pieces for another use.

Spread melted butter over dough; top with a generous amount of cinnamon sugar. Place apple slices along 1 long edge of dough, overlapping slices slightly, Fold bottom half of dough over the apple slices to form a long "folder" of dough with rounded edges of the apple slices exposed.

Beat the egg and water together in a bowl. Paint surface of dough with egg wash. Sprinkle with more cinnamon and sugar to taste.

Starting from one end, roll dough (not too tightly) to form a rose-shaped pastry. Seal roll with end of dough strip.

Transfer roses to prepared ramekins. Sprinkle with a little more cinnamon-sugar. Place ramekins directly with a little more cinnamon-sugar. Place ramekins directly on middle rack of preheated oven.

Bake until well golden, about 20 min. Remove ramekins with tongs and place on baking sheet to cool 5-10 min. Remove apple roses from ramekins and finish cooling on a rack.