Abstract: A game machine, a display control method, and a display control program that can express a polygonal data object created from polygonal data in a three-dimensional virtual space by line drawing according to a performance state. A three-dimensional object is generated from polygon data which connects vertex coordinates in the three-dimensional virtual space. The vertex coordinates of the polygon data on the three-dimensional object are extracted. Lines are drawn between adjoining vertex coordinates among such vertex coordinates extracted. Part of the lines are deleted based on a performance condition corresponding to a performance state provided by a game using a game medium. A three-dimensional performance image based on the three-dimensional object of which part of the lines are deleted is drawn, and displayed and controlled on a display device.