  Evidence has mounted that Type Ia and core-collapse (CC) supernovae (SNe) can
have substantial deviations from spherical symmetry; one such piece of evidence
is the complex morphologies of supernova remnants (SNRs). However, the relative
role of the explosion geometry and the environment in shaping SNRs remains an
outstanding question. Recently, we have developed techniques to quantify the
morphologies of SNRs, and we have applied these methods to the extensive X-ray
and infrared archival images available of Milky Way and Magellanic Cloud SNRs.
In this proceeding, we highlight some results from these studies, with
particular emphasis on SNR asymmetries and whether they arise from "nature"
versus "nurture".
