  Overwhelming evidence has accumulated in recent years that supernova
explosions are intrinsically 3-dimensional phenomena with significant
departures from spherical symmetry. We review the evidence derived from
spectropolarimetry that has established several key results: virtually all
supernovae are significantly aspherical near maximum light; core-collapse
supernovae behave differently than thermonuclear (Type Ia) supernovae; the
asphericity of core-collapse supernovae is stronger in the inner layers showing
that the explosion process itself is strongly aspherical; core-collapse
supernovae tend to establish a preferred direction of asymmetry; the
asphericity is stronger in the outer layers of thermonuclear supernovae
providing constraints on the burning process. We emphasize the utility of the
Q/U plane as a diagnostic tool and revisit SN 1987A and SN 1993J in a
contemporary context. An axially-symmetric geometry can explain many basic
features of core-collapse supernovae, but significant departures from axial
symmetry are needed to explain most events. We introduce a spectropolarimetry
type to classify the range of behavior observed in polarized supernovae.
Understanding asymmetries in supernovae is important for phenomena as diverse
as the origins of gamma-ray bursts and the cosmological applications of Type Ia
supernovae in studies of the dark energy content of the universe.
