Directions are relative to viewpoint of object

The directions front/back, right/left, and up/down are relative to the viewpoint of the object.

They are not relative to the viewpoint of the viewer.

The right/left, front/back, and up/down directions relative to the viewpoint of that object don't change.

If I were to rotate the cube in Figure 1 so as to turn it "upside down", the green axis would then point downward, but that would still be the top of the cube relative to the cube's viewpoint.