With a mandolin or a sharp knife, carefully cut the potatoes into ¹⁄₁₆-inch (1 mm) thick slices.
3. Step
Add the potato slices to a large bowl and cover with water. Toss the potatoes around to remove excess starch, then drain.
4. Step
Add 1 teaspoon of salt, the pepper, paprika, and garlic powder and toss the potatoes until evenly coated.
5. Step
Add the oil to a small bowl. Dip a paper towel in the oil and grease the cups of a 12-cup muffin tin.
6. Step
Arrange 5 potatoes around the sides of a muffin cup, overlapping slightly. Place 1 slice on the bottom to create a flower. Repeat with the remaining potato slices. Sprinkle shredded cheese over the potato cups.
7. Step
Bake for 10 minutes.
8. Step
Remove the potato cups from the oven and reduce the oven temperature to 300°F (150°C).
9. Step
Sprinkle bacon over the cheese. Add an egg to each cup. Sprinkle with salt.
10. Step
Bake for another 20-25 minutes, or until the egg whites are mostly cooked.