Kummer Surface Radiating Rods. I haven't tested this extensively. This figure looks like two teardrops with their pointed ends connected. It is formed by rotating the Lemniscate of Gerono about the x-axis. Looks like the quadric paraboloid, but is squared off on the bottom and sides.
Quartic saddle Looks like the quadric saddle, but is squared off in the middle.
There are several surfaces related to this. A curious blobby cube.