Because we generally view objects within scenes at an angle rather than head on, we usually tend to see things in two-point perspective. As the name suggests, this type of perspective includes two vanishing points. All horizontal lines will seem to converge toward one point or the other, depending on the angle from which they are seen.
There may be multiple two-point perspectives again depending on the viewing angle.
One Form, Different Two-Point Perspectives
This diagram shows a cubic form as seen from two points of view, with two-point perspective applied.