  We describe an example of a closed orientable 3-manifold with distinct
distance three genus two Heegaard splittings. This demonstrates that the
constructions of alternate genus two Heegaard splittings of closed orientable
3-manifolds described by Rubinstein and Scharlemann in their 1998 paper Genus
Two Heegaard Splittings of Orientable 3-Manifolds, does not yield all alternate
genus two splittings and must be augmented.
