Cut cardy into 10-20 cm long pieces and boil in vinegar-spice water for 15-20 min. Drain and arrange on 4 warmed plates.
Grate the Appenzeller cheese and spread evenly over the Kardy. Heat the butter and fry the 4 fried eggs in it. Arrange on Kardy. Baste with the rest of the butter. Serve with potatoes, millet or bread.