This clip makes use of the wide angle lens in a very obvious manner, it stands out to the viewer more so than other examples (like below). At 1:17 we see Bowman walking around however there is a wider perspective of view, i believe this is used to represent the idea of “beyond the infinite” the idea that this room isn’t situated in any particular place but rather past infinity. A place where the laws of physics don’t apply. This wide angle lens bordering an infinite perspective, or at least more so than before helps to represent that he is no longer in a place where humanity resides. Kubrick uses wide angle lenses often in his films, however usually not in such an obvious way. This clip seems to give it a fish-eye look. other examples include when Bowman is walking through the tunnels of the space ship, a great example of one point perspective.
Here is a clearer example of one point perspective, there are multiple times in the film where Bowman walks through these tunnels, Kubrick uses the same perspective to bring familiarity back into the scenes. However, since Bowman is blocking our view to his destination it creates a sense of anxiety as to what might happen next and where he may go.
from 2:15 – 2:46 there is a brilliant tracking shot, following Bowman as he runs around the ship, it is used to represent the curvature of the spherical room.