A percutaneous heart valve prosthesis including a collapsible valve body frame has a first end and a second end. The valve body frame is formed by a plurality of sub-frame members, each sub-frame member having a general form of a diamond with acute-angled vertices and oblique-angled vertices, wherein adjacent sub-frame members are joined at the oblique-angled vertices. A flexible skirt made from a non-biologic material extends around a periphery of the valve body frame. A one-way valve including a plurality of flexible valve leaflets is positioned within the valve body frame. The first end of the valve body frame is sized to pass through a valve orifice associated with a heart valve to be replaced and the second end of the valve body frame is sized so as not to pass through a valve orifice.