  We classify the topological types for the unions of the totally geodesic
3-punctured spheres in orientable hyperbolic 3-manifolds. General types of the
unions appear in various hyperbolic 3-manifolds. Each of the special types of
the unions appears only in a single hyperbolic 3-manifold or Dehn fillings of a
single hyperbolic 3-manifold. Furthermore, we investigate bounds of the moduli
of adjacent cusps for the union of linearly placed 3-punctured spheres.
