01 - 
                Preheat oven to 190°C. Grease a baking dish with 2 tablespoons of softened butter.
              
              
              
                02 - 
                Using a mandoline or sharp knife, slice potatoes very thinly for even cooking.
              
              
              
                03 - 
                In a large mixing bowl, combine heavy cream, shredded cheddar, 4 tablespoons grated Parmesan, and minced garlic.
              
              
              
                04 - 
                Add the sliced potatoes to the mixture and toss thoroughly to ensure all slices are well coated. Season generously with salt and black pepper and toss again.
              
              
              
                05 - 
                Stack potato slices and arrange them upright in the prepared baking dish. Repeat until all potatoes are arranged.
              
              
              
                06 - 
                Pour any remaining cream mixture evenly over the potatoes and lightly season the top with additional salt and pepper.
              
              
              
                07 - 
                Dot the surface with the remaining 2 tablespoons of butter.
              
              
              
                08 - 
                Cover the baking dish tightly with foil and bake for 35 to 40 minutes.
              
              
              
                09 - 
                Remove the foil, sprinkle the remaining Parmesan over the top, and bake uncovered for an additional 25 to 30 minutes, until the potatoes are fork tender.
              
              
              
                10 - 
                Place the dish under a hot grill for 1 minute to brown the top.
              
              
              
                11 - 
                Remove from oven and let rest for 10 minutes before serving.