A bra, comprising: 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 the wearer of the bra, wherein, when the bra is worn by the wearer, 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, wherein the fold line extends diagonally and has an inboard end and an outboard end that is positioned higher than the inboard end, thereby dividing the cup into an upper, inboard cup portion, and a lower, outboard cup portion, wherein the strap includes a primary portion that is configured to extend upwards over the shoulder of the wearer, and an end portion to which the primary portion is connected, wherein the end portion of the strap includes an inboard end portion that connects to the upper, inboard cup portion and an outboard end portion that connects to at least one element selected from the group of elements consisting of the lower, outboard cup portion and the band, and wherein the inboard end portion is elastically stretchable and is positioned to exert a biasing force on the upper, inboard cup portion to hold the upper, inboard cup portion in an unfolded position relative to the lower, outboard cup portion when the cup is in the unfolded position during use and to exert a biasing force on the upper, inboard cup portion to hold the upper, inboard cup portion in a folded position relative to the lower, outboard cup portion when the cup is in the folded position during use. 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 the wearer of the bra, wherein, when the bra is worn by the wearer, 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, wherein the fold line extends diagonally and has an inboard end and an outboard end that is positioned higher than the inboard end, thereby dividing the cup into an upper, inboard cup portion, and a lower, outboard cup portion, wherein the strap includes a primary portion that is configured to extend upwards over the shoulder of the wearer, and an end portion to which the primary portion is connected, wherein the end portion of the strap includes an inboard end portion that connects to the upper, inboard cup portion and an outboard end portion that connects to at least one element selected from the group of elements consisting of the lower, outboard cup portion and the band, and wherein the inboard end portion is elastically stretchable and is positioned to exert a biasing force on the upper, inboard cup portion to hold the upper, inboard cup portion in an unfolded position relative to the lower, outboard cup portion when the cup is in the unfolded position during use and to exert a biasing force on the upper, inboard cup portion to hold the upper, inboard cup portion in a folded position relative to the lower, outboard cup portion when the cup is in the folded position during use. to exert a biasing force on the upper, inboard cup portion to hold the upper, inboard cup portion in an unfolded position relative to the lower, outboard cup portion when the cup is in the unfolded position during use and to exert a biasing force on the upper, inboard cup portion to hold the upper, inboard cup portion in a folded position relative to the lower, outboard cup portion when the cup is in the folded position during use.