A vessel (10) with a curved surface (13) is insulated with the first layer of insulation (14) formed of a plurality of closed loops (15) joined to each other. A second layer of insulating material (17) is disposed over the first layer (14) and is comprised of a plurality of closed loops (18) of insulating material with adjacent portions of the loops (18) being affixed to each other. Such arrangement allows thicker insulation without the requirement of increased space and heavier equipment.