  Recent work on the dynamics of triaxial stellar systems is reviewed. The
motion of boxlike orbits in realistic triaxial potentials is generically
stochastic. The degree to which the stochasticity manifests itself in the
dynamics depends on the chaotic mixing timescale, which is a small multiple of
the crossing time in triaxial models with steep cusps or massive central
singularities. Low-luminosity ellipticals, which have the steepest cusps and
the shortest dynamical times, are less likely than bright ellipticals to have
strongly triaxial shapes. The observational evidence for triaxiality is
reviewed; departures from axisymmetry in early-type galaxies are often found to
be associated with evidence of recent interactions or with the presence of a
bar.
