Heat the oven to 375°F and butter a 9-inch square 2-quart baking dish. Mix cream, milk, 4 ounces Gruyere, Dijon, garlic, salt, pepper and nutmeg in a large bowl.
Slice potatoes evenly 1/8 inch thick without rinsing afterward. Turn through the cream mixture until coated on both sides.
Gather small stacks and stand them upright on their edges in snug rows in the dish, with the curved tops exposed. Pour all remaining cream mixture evenly over and between the rows.
Cover tightly with foil and bake for 50 minutes. Uncover, scatter remaining Gruyere over the ridges and bake for 25 to 30 minutes more until the exposed edges are golden and a thin knife passes easily through several places in the center.
Rest for 15 minutes so the cream settles around the layers, then lift portions with a broad spoon or spatula.