An article for use on a mattress includes a bedding article and means for orienting the bedding article on a mattress. The means for orienting the bedding article on a mattress may be hidden from view when the bedding article is installed on a mattress. The means for orienting the bedding article on a mattress may be one or more of color contrasting sections, indicia, labels, or stitching. The bedding article has two sides, a top end, a bottom, an opening for seating around the bed, an edge around the opening, and four corners, with two corners being at the top end and two corners being at the bottom end. An article for use as a cover for an underlying item is also disclosed, with the article including a cover article and means for orienting the cover article on an underlying item.