  Using a covariant spectator quark model that describes the recent lattice QCD
data for the $\Delta$ electromagnetic form factors and all available
experimental data on $\gamma N \to \Delta$ transitions, we analyze the charge
and magnetic dipole distributions of the $\Delta$ baryon and discuss its shape.
We conclude that the quadrupole moment of the $\Delta$ is a good indicator of
the deformation and that the $\Delta^+$ charge distribution has an oblate
shape. We also calculate transverse moments and find that they do not lead to
unambiguous conclusions about the underlying shape.
