A cover for beds includes a cover with a structural profiles formed by perimeter or otherwise rail aspects such as a top rail aspect, bottom rail aspect, lateral rail aspects, geometrically designed to create desired profiles and/or profiles that form its shape and design. Rails aspects may be made from plastic, foam and/or the like that change the shape and the design can be arranged to achieve desired functional objectives and may be designed to fit hospital bed, any mattress or child mattress. The cover is complemented by a material that may be removed, replaced and/or added to another material.
