  We study the low-temperature spin-glass phases of the Sherrington-Kirkpatrick
(SK) model and of the 3-dimensional short range Ising spin glass (3dISG). For
the SK model, evidence for ultrametricity becomes clearer as the system size
increases, while for the short-range case our results indicate the opposite,
i.e. lack of ultrametricity. Our results are obtained by a recently proposed
method that uses clustering to focus on the relevant parts of phase space and
reduce finite size effects. Evidence that the mean field solution does not
apply in detail to the 3dISG is also found by another method which does not
rely on clustering.
