This paper presents a novel method for an all-around display system that shows three-dimensional stereo images without any special goggles. This system simply needs a directional-reflection screen, mirrors, and a standard projector. The basic concept behind this system is to make use of the phenomenon called "afterimage" that occurs when screen is spinning. The key to this approach is to make a directional reflection screen with a limited viewing angle and project images onto it. The projected image is made up of 24 images of an object, taken from 24 different angles. By reconstructing this image, a three-dimensional object can be displayed on the screen. The display system can present images of computer-graphics and photographs, full-length movies, and so on. This paper shows several display examples which demonstrate that the system will be useful in applications such as guide displays in public places and facilities.