Peel a few centimeters of the root end of the asparagus stalks, take off the stem, and cut into 7 cm long pieces (or cut each stalk into thirds). Bring a pot of salted water to a boil. Put the tougher stalk parts in first, then add the spear ends 30 seconds later. Boil for a total of 2 minutes, drain, refresh in cold water, then drain again. Cut the konnyaku into 7 cm long, 5 mm wide strips, boil briefly, and drain. Cut the potatoes and carrots to about the same size as the konnyaku, cover with plastic wrap, and microwave for about 3 minutes.