An endoluminal prosthesis may include a tubular graft extending in a longitudinal direction, where the graft has an inner surface forming a lumen extending a length of the graft. An elongate member may be attached to the graft in a circumferentially and longitudinally extending manner such that the elongate member forms a series of longitudinally spaced apart turns, each turn extending substantially around a circumference of the graft. The elongate member may torsion the graft in at least the circumferential direction and cause the graft to form circumferentially and longitudinally extending folds in the portions of the graft disposed between longitudinally adjacent turns of the elongate member.