Scrub potatoes. Slice as thinly as possible, leaving slices attached at the very bottom.
Place into an oiled baking pan.
Slice garlic cloves into thin pieces. Insert pieces into the cut potato here and there, using 1 clove per potato.
Insert fresh rosemary pieces into slices.
Drizzle liberally with olive oil. Bake at 400, basting with oil every 30 minutes, for 60-90 minutes*, until potatoes are cooked through and soft in the center, with crispy edges. Garnish with cheese and more rosemary. Serve 1/2 or 1 potato per person