The Rot Fractal procedural texture produces a fractal pattern whose rotational data is easily animated (figure 1).
Figure 1: The Rot Fractal node and it's associated parameters
Time - Provides control over animating the texture effect.
Iterations - Determines the number of fractal iterations where larger values will produce a more detailed fractal pattern.
Transform - Positions, scales, and rotates the surface texture.
Projection - Sets how the texture projects onto the surface.