A system for biasing or encouraging a sheet of material to gather in one direction when one edge of the sheet of material is moved toward an opposite edge of the sheet of material is provided. A plurality of strips of material may extend along a face of the sheet of material and may be laminated to the face of the sheet of material. The plurality of strips of material may overlap each other and may define stiffened regions extending along the overlapped interface between the plurality of strips of material. When the covering is moved from an extended position to a retracted position, the sheet of material may gather in loops of material that may have apexes defined at or adjacent the overlapped interfaces of the plurality of strips of material.