A display for a computer system may be created by generating a three-dimensional image using a rotating helicoid. The helicoid may be formed by deforming a catenoid to form a helicoid. The helicoid may be supported by a pair of structures that do not occlude an image projected onto the helicoid nor occlude the user's ability to view the full extent of the image on the helicoid. The helicoid generated image may be transformed to an aerial floating image by a corner cube reflector array plate. Then depth sensing cameras may sense user interaction with the floating aerial image and may modify the image to make it appear that the user is actually modifying a physical object by manual manipulation.