Preheat oven to 375F/200C/ Gas mark 6.
Coat a standard 12-cup muffin pan with cooking spray or brush on a thin layer of oil.
Mix together olive oil, garlic powder, thyme and salt together in a bowl.
Set aside.
Rinse potatoes.
Slice each potato thinly, a mandoline gives even slices.
Place 4 slices of potatoes at the bottom of each cup of the muffin tin.
Brush the potatoes with the oil mixture. Add more potato slices and brush with the oil mixture again.
You should get about a potato per muffin hole.
Sprinkle the Parmesan evenly over the potato stacks.
Bake the stacks for 30 minutes, or until brown and crispy.
Use a tablespoon to release and move the stacks to plates.
Serve with dips of your choice.