A catheter system comprises a catheter and a reinforced catheter balloon. The catheter balloon has at least one cone portion and a working portion. The catheter balloon has in cross section the at least one cone portion has a polygonal shape with sides and corners. The balloon is disposed about a longitudinal axis and has an inflated state and an uninflated state. In the uninflated state the working portion of the balloon forms wings which have tips that are circumferentially aligned with the corners of the cone portion.
