An investigation into the fractional linear transformation. Certain patterns in the image give hints as to what the originating function for this one is. The two-headed Mandelbrot bulbs mean that the z-term is raised to the third power. The main nephroid of the Cubicbrot is turned inside out by the fractional linear transformation – with zero moved to infinity and infinity moved to the center the screen to form a collapsed star. The two main tines of the Cubicbrot meet at the middle.