I applied a 2nd animation (via the Add Animation toolbar button) that would make it dissappear after previous, duration setting of 00.25 and 00.00 delay. The second instance (copy of parent that has been rotated 30 degrees clockwise) I applied an animation that made it appear after previous 00.01 duration and 00.00 delay.
The first instance (object parent) I applied an animation that made the object disappear after a mouse click with a duration of 00.01 and 00.00 delay. I then applied an animation to each object that would simulate a rotation. I then skewed each object to where it would overlay over one another (which required a little x, y adjustments). So, I generated a sort of 3 frames per second animation which uses multiple copies of the same object (3 instances in my case), rotated each subsequent instance about 30 degrees off previous rotation.