The particles in a black hole don't really converge to a point. The point isn't even there. There is litterally a hole in space towards which the particles are heading forever (from our point of view). Two particles falling in, one after another, will always be separated in the spacetime of the black hole. They are squeezed together though by the converging funnel. But in the length of the funnel they stay separated and they are experiencing less and less time. That is why it takes a finite time to infinity.
For a rotating black hole the infalling particles are dragged in the direction of rotation (frame dragging) and they end up not heading for the hole at infinity but a "ring-singularity" at infinity. That is, due to the rotation the width of the funnel will always be finite, not going to zero. So all particled end up around the central point (which itself isn't part of space). All particles end up on a ring around the center (the ring being part of a spherical 2D shape surrounding the center point). It's called a ring singularity. Though the space the ring is on is 2D.