This is clear from a math point of view. But time cannot rotate as it is strictly 1 dimensional.
The concept of time in physics (special relativity) cannot be separated by the concept of space. A rotation is always associated to a plane (only in 3d we can associate a rotation with an axis!). Therefore in 4d spacetime there are 6 possible rotation planes.
Lorentz transformation are encoded by hyperbolic rotations in "mixed spacetime" planes
https://www.physicslog.com/blo…entz-hyperbolic-rotation/