I have seen depictions of spinning black holes with the "singularity" spinning around a center of rotation in a flat plane, or moving around an imaginary sphere. Is there anything in the centre or was that poor visualization on the artist's side?

I have seen depictions of spinning black holes with the "singularity" spinning around a center of rotation in a flat plane, or moving around an imaginary sphere. Is there anything in the centre or was that poor visualization on the artist's side?

There isn't anything in particular in the center. The black hole isn't orbiting, it is spinning (by which I mean it is rotating in and of itself). It is similar to how the Earth or a spinning top rotates about its axis: it isn't orbiting anything, just spinning.