In one aspect a bra is provided, and includes a pair of cups that are self-supporting, a strap connected to each cup, a bridge connecting the inboard ends of each cup, and a band extending from the outboard end of each cup and configured to extend around the back of a wearer of the bra. Each cup is foldable along a fold line between an unfolded position wherein the cup covers a nipple of the wearer and a folded position wherein the cup exposes the nipple of the wearer, wherein, when the bra is worn by the wearer, each cup is stable in both the unfolded position and the folded position. In another embodiment a bra is provided with cups that are stable in both the folded and unfolded positions wherein the cups are not self supporting.