Special equipment: star shaped cookie cutters in descending sizes
Preheat the griddle to medium heat.
Build the sandwiches with 1 slice of white cheese on 4 pieces of bread and 1 slice of yellow cheese on the other 4 slices of bread. Close the sandwiches and butter both sides. Place on the griddle; cover with a metal bowl and let the sandwiches get a nice golden brown, 2 to 3 minutes. Flip, cover again and cook until the cheese is melted and the sandwiches are golden brown, 2 to 3 minutes.
From Food Network Kitchens; after further testing and to ensure the best results this recipe has been altered from what was in the actual episode.