Preheat oven to 375 degrees

Brush muffin pan with melted butter

Slice potatoes into slices with mandoline

In a large bowl, thoroughly mix potato slices, salt, pepper, cayenne, rosemary and remaining melted butter

Add cheese, mixing together a portion at a time

Stack potato slices into muffin tins, using smaller pieces at the top

Bake 45 - 60 minutes until soft; if not done but top is browned, cover with foil and continue baking