A system comprising: a prosthetic valve comprising: a collapsible and expandable annular frame, configured to be collapsed to a radially collapsed state for mounting on a delivery apparatus and expanded to a radially expanded state inside the body; wherein the frame comprises a plurality of rows (112a, 112b, 112c, 112d) of angled struts, the angled struts joined to each other so as to form a plurality of rows of hexagonal cells, wherein the frame is made up entirely of hexagonal cells, and wherein each of the hexagonal shaped cells is defined by six struts (144, 146, 148), including: two opposing side struts extending parallel to a flow axis of the valve, a pair of lower angled struts, extending downwardly from respective lower ends of the side struts and converging toward each other, and a pair of upper angled struts extending upwardly from respective upper ends of the side struts and converging toward each other; and a delivery catheter comprising an inflatable balloon; wherein the prosthetic valve is crimped in its radially compressed state on the balloon of the delivery apparatus, and wherein the balloon is configured to be inflated to expand to radially expand the prosthetic valve at the desired deployment location, preferably within a native aortic valve. a prosthetic valve comprising: a collapsible and expandable annular frame, configured to be collapsed to a radially collapsed state for mounting on a delivery apparatus and expanded to a radially expanded state inside the body; wherein the frame comprises a plurality of rows (112a, 112b, 112c, 112d) of angled struts, the angled struts joined to each other so as to form a plurality of rows of hexagonal cells, wherein the frame is made up entirely of hexagonal cells, and wherein each of the hexagonal shaped cells is defined by six struts (144, 146, 148), including: two opposing side struts extending parallel to a flow axis of the valve, a pair of lower angled struts, extending downwardly from respective lower ends of the side struts and converging toward each other, and a pair of upper angled struts extending upwardly from respective upper ends of the side struts and converging toward each other; and a collapsible and expandable annular frame, configured to be collapsed to a radially collapsed state for mounting on a delivery apparatus and expanded to a radially expanded state inside the body; wherein the frame comprises a plurality of rows (112a, 112b, 112c, 112d) of angled struts, the angled struts joined to each other so as to form a plurality of rows of hexagonal cells, wherein the frame is made up entirely of hexagonal cells, and wherein each of the hexagonal shaped cells is defined by six struts (144, 146, 148), including: two opposing side struts extending parallel to a flow axis of the valve, a pair of lower angled struts, extending downwardly from respective lower ends of the side struts and converging toward each other, and a pair of upper angled struts extending upwardly from respective upper ends of the side struts and converging toward each other; and two opposing side struts extending parallel to a flow axis of the valve, a pair of lower angled struts, extending downwardly from respective lower ends of the side struts and converging toward each other, and a pair of upper angled struts extending upwardly from respective upper ends of the side struts and converging toward each other; and a delivery catheter comprising an inflatable balloon; wherein the prosthetic valve is crimped in its radially compressed state on the balloon of the delivery apparatus, and wherein the balloon is configured to be inflated to expand to radially expand the prosthetic valve at the desired deployment location, preferably within a native aortic valve.