  The shapes of galaxies, in particular their outer regions, are important
guideposts to their formation and evolution. Here we report on the discovery of
strongly box-shaped morphologies of the, otherwise well-studied, elliptical and
lenticular galaxies NGC 720 and NGC 2768 from deep imaging. The boxiness is
strongly manifested in the shape parameter $A_4/a$ of $-0.04$ in both objects,
and also significant center shifts of the isophotes of $\sim$ 2--4 kpc are
seen. One reason for such asymmetries commonly stated in the literature is a
merger origin, although the number of such cases is still sparse and the exact
properties of the individual boxy objects is highly diverse. Indeed, for NGC
2768, we identify a progenitor candidate (dubbed Pelops) in the residual
images, which appears to be a dwarf satellite that is currently merging with
NGC 2768. At its absolute magnitude of M$_r$ of $-$12.2 mag, the corresponding
Sersic radius of 2.4 kpc is more extended than those of typical dwarf galaxies
from the literature. However, systematically larger radii are known to occur in
systems that are in tidal disruption. This finding is bolstered by the presence
of a tentative tidal stream feature on archival GALEX data. Finally, further
structures in the fascinating host galaxy comprise rich dust lanes and a
vestigial X-shaped bulge component.
