An assembly, comprising: a balloon catheter comprising an inflatable balloon; and a balloon-expandable prosthetic aortic heart valve, comprising: a radially collapsible and expandable annular frame; a leaflet assembly positioned within the frame, the leaflet assembly comprising a plurality of leaflets that are connected to each other to form commissures of the leaflet assembly; wherein the frame comprises a pair of struts (404, 406) adjacent to each of the commissures, the struts of each pair being spaced apart from each other so as to define an opening therebetween; wherein at each commissure, two adjacent leaflets (106a, 106b) are positioned between an adjacent pair of struts (404, 406), with one of the leaflets wrapping around at least a portion of one of the struts and the other leaflet wrapping around at least a portion of the other strut; wherein a cloth portion is attached to a portion (408, 410) of one leaflet (106a, 106b) that extends radially outside of the frame, the cloth portion being wrapped around one of the struts (404, 406) and wherein another cloth portion is attached to a portion (408, 410) of the other leaflet (106a, 106b) that extends radially outside of the frame, the cloth portion being wrapped around the other strut (404, 406), characterized in that the struts (404, 406) are orientated vertically and that the leaflets (106a, 106b) of the leaflet assembly are attached to the frame without suturing the leaflets (106a, 106b) at the commissures directly to the struts (404, 406). a balloon catheter comprising an inflatable balloon; and a balloon-expandable prosthetic aortic heart valve, comprising: a radially collapsible and expandable annular frame; a leaflet assembly positioned within the frame, the leaflet assembly comprising a plurality of leaflets that are connected to each other to form commissures of the leaflet assembly; wherein the frame comprises a pair of struts (404, 406) adjacent to each of the commissures, the struts of each pair being spaced apart from each other so as to define an opening therebetween; wherein at each commissure, two adjacent leaflets (106a, 106b) are positioned between an adjacent pair of struts (404, 406), with one of the leaflets wrapping around at least a portion of one of the struts and the other leaflet wrapping around at least a portion of the other strut; wherein a cloth portion is attached to a portion (408, 410) of one leaflet (106a, 106b) that extends radially outside of the frame, the cloth portion being wrapped around one of the struts (404, 406) and wherein another cloth portion is attached to a portion (408, 410) of the other leaflet (106a, 106b) that extends radially outside of the frame, the cloth portion being wrapped around the other strut (404, 406), characterized in that the struts (404, 406) are orientated vertically and that the leaflets (106a, 106b) of the leaflet assembly are attached to the frame without suturing the leaflets (106a, 106b) at the commissures directly to the struts (404, 406). a radially collapsible and expandable annular frame; a leaflet assembly positioned within the frame, the leaflet assembly comprising a plurality of leaflets that are connected to each other to form commissures of the leaflet assembly; wherein the frame comprises a pair of struts (404, 406) adjacent to each of the commissures, the struts of each pair being spaced apart from each other so as to define an opening therebetween; wherein at each commissure, two adjacent leaflets (106a, 106b) are positioned between an adjacent pair of struts (404, 406), with one of the leaflets wrapping around at least a portion of one of the struts and the other leaflet wrapping around at least a portion of the other strut; wherein a cloth portion is attached to a portion (408, 410) of one leaflet (106a, 106b) that extends radially outside of the frame, the cloth portion being wrapped around one of the struts (404, 406) and wherein another cloth portion is attached to a portion (408, 410) of the other leaflet (106a, 106b) that extends radially outside of the frame, the cloth portion being wrapped around the other strut (404, 406), characterized in that the struts (404, 406) are orientated vertically and that the leaflets (106a, 106b) of the leaflet assembly are attached to the frame without suturing the leaflets (106a, 106b) at the commissures directly to the struts (404, 406).