A hair carrying system to carry hairpieces, such as hair extensions, utilizing a hanger to hold the hairpiece, and an elongated bag having an opening through which the hanger with the hairpiece can be introduced inside the bag, the bag having a top slit through which a hook portion of the hanger can protrude so that the hanger can hang the hairpiece and the bag in a safe location. In the interest of displaying a given pixel pattern at a minimized backlight level, the pattern can be transformed while maintaining image quality, with a transform determined from pixel luminance statistics. The retaining member extends diametrically from a slot in the elongate shaft and is spring-loaded and rotatable within a slot in the shaft. The loop structures form the surface of the toy when the cooperative mating surfaces are coupled with each other. The power supply is disposed in the casing. The invention further provides dimers comprising analogs of formula.