Peel the Japanese sweet potato and steam until completely tender.
While still hot, press it through a fine-mesh sieve or process it in a food processor until smooth.
Measure 35 g of sweet potato puree and let it cool completely. *1
Making the cookie dough
Place the softened butter in a mixing bowl and beat until smooth and creamy.
Add the granulated sugar, salt, egg yolk, sweet potato puree, and vanilla bean paste, one at a time, mixing well after each addition.
Sift in the all-purpose flour and add the almond flour. Gently fold until the mixture just comes together to form a soft dough. Do not overmix.
Roll the dough into a log about 4 cm (1.6 inches) in diameter.
Wrap the dough log in plastic wrap and refrigerate for 15 minutes.
Spread the purple sweet potato powder on a sheet of parchment paper or small tray.
Roll the log through the powder until the outside is evenly coated with a thin purple layer. *2
Wrap the log tightly in plastic wrap and freeze for at least 1 hour, or until firm enough to slice cleanly. *3
Bake
Preheat the oven to 170°C (340°F). Line a baking sheet with parchment paper. *3
Cut the chilled log into slices about 8 mm (1/3 inch) thick. Arrange them on the prepared baking sheet.
Place a few black sesame seeds in the center of each cookie and gently press them into the dough.
Bake at 170°C (340°F) for 20 minutes, until the cookies are set and lightly colored. Avoid browning the cookies too much, so they can keep their golden sweet potato color.
Transfer the cookies to a wire rack and cool completely. The cookies will become crisp as they cool.
Notes
*1 Make sure the sweet potato puree is completely cool before adding it to the butter. Warm puree can soften the butter and change the texture of the dough.*2 Keep the purple sweet potato powder coating thin. You only need enough to color the surface and create the appearance of real satsumaimo skin.*3 Freezing the logs for at least 1 hour makes them much easier to cut into neat 8 mm slices without flattening their shape.*4 I tested these cookies at 170°C (340°F) for 20 minutes, which gave me a crisp, buttery cookie while keeping the sweet potato center lightly colored.