1. A three dimensional display system comprising: a first apparatus placed at a first point comprising: a three dimensional shape reconstruction apparatus provided with a three dimensional shape which is controllable to reconstruct a three dimensional shape, a reflector that reflects projection light from above the three dimensional shape reconstruction apparatus to side faces of the three dimensional shape reconstruction apparatus, a controller that controls the three dimensional shape of the three dimensional shape reconstruction apparatus based on three dimensional shape information, and a projector that projects a surface image of the top face of the three dimensional shape onto the top face of the three dimensional shape reconstruction apparatus and that projects surface images of the side faces of the three dimensional shape onto the side faces of the three dimensional shape reconstruction apparatus through the reflector; and a second apparatus placed at a second point comprising a transmitter that transmits to the first apparatus the three dimensional shape information and the surface images of the top face and the side faces of the three dimensional shape.