A machine may render a view that includes a portion of an infinite plane within a three-dimensional (3D) space. The machine may determine a polygon within a frustum in the 3D space. The polygon may be determined by calculating an intersection of the frustum with the infinite plane. The polygon may represent that portion of the infinite plane which lies within the boundaries of the frustum. The machine may then determine a color of an element of this polygon according to one or more algorithms, default values, or other programming for depicting the infinite plane within the 3D space. The color of this element of the polygon may be that applied by the machine to a further element that is located on the far plane of the frustum, and this further element may be located at a height above the polygon within the 3D space.