How to draw perspective - Three Points Perspective
STEP 1 :
Notice that the three point perspective includes the two point perspective or perspective with two vanishing points plus it also has a third perspective point or third vanishing point in the vertical perspective aspect as from near the ground for instance looking up at a tower -- as the viewer is facing a vertical corner (edge) of the object.
STEP 2 :
Consider that the third point can be any fourth, fifth,... view for an angular, tilted or rotated part of a drawing, but it is usually based on parallel lines in each part and relates those parts that are actually parallel to each other.
STEP 3 :
Look at the staircase example to see that different "3rd point" depends on the angle of the item being viewed. So then there can be several "other" vanishing points off at "some odd angle vanishing upward into the sky (or downward)" in a picture, for example another identical staircase could be oriented (rotated) differently as for example shown in the same drawing of a lobby of a building, etc.