A method and system for simulating motion of a polygon on a display screen. The polygon may be included in a set of polygons used to model a three-dimensional object. The position of the polygon is defined by vertices tracked in a subpixel coordinate system existing in a computer-readable medium. The subpixel coordinates of the vertices are used to identify the pixels on the display screen having coordinates that correspond to subpixel coordinates lying within or, optionally, at the boundary of the polygon. The identified pixels are those that are to be lighted on the display screen to generate the image of the polygon. The display properties of the lighted pixels are selected by interpolation based on defined pixel display parameters assigned to the vertices of the triangle. As motion of the polygon is tracked in the subpixel coordinate system, the corresponding display on the display screen is repeatedly adjusted. The method of identifying and interpolating the display parameters of the pixels using the subpixel coordinate system provides the appearance of smooth polygon motion.