The original base/stand for the MakerBot Saber-Toothed Cat Skull is a nice idea, poorly executed. At original scale, the post that rises from the base is pretty spindly, and even with 100% infill and reduced print speed, the movement of the head at the top of the column would produce enough force to snap the post off at the join with the platform.
I threw it into Tinkercad and added a little collar. It doesn't affect the aesthetic too much, and makes the print more likely to complete.
Added a conical shape overlaid on the original STL in Tinkercad and joined the shapes.