Consider this a complex Feigenbaum attractor. Basically, the x and y axis are the complex plane, and the z coordinate of the visible points represents the limit point of this point c=(x,y)=x+iy of the iterated function f=x^2+c.
The "antenna" of this Mandelbrot set is missing, because it doesn't form a visible shape.
Generally, 8 different limit points are visible. (less info)