1. A hairpiece comprising: a U-shaped head hair attached band of thin width which runs longitudinally of the head and does not go all the way around the head and with the free ends thereof terminating adjacent the temples of a wearer and the center portion extending around the back of the head; a plurality of hair carrying bands that bisect the plane of the skull of the wearer, one of said hair carrying bands attached to the free ends of said hair attaching band and extending over the front portion of the wearer''s skull; a second one of said hair carrying bands attached to central portions of the legs of said hair attaching band and extending over the center portion of the wearer''s skull; a third one of said hair carrying bands having its ends attached to the ends of two thin elastic strips the other ends of which are attached to the legs of said hair attaching band rearwardly relative to the head of the wearer of said second hair carrying band; and three crescent-shaped openings formed respectively between saId first and second hair carrying bands, said second and third hair carrying bands and said third hair carrying band and the center portion of said head hair attaching band so that the wearer''s hair may be drawn through said crescent-shaped openings and intermixed with hair on said hair carrying bands.