  We introduce the notion of a local shadow for a black hole and determine its
shape for the particular case of a distorted Schwarzschild black hole.
Considering the lowest-order even and odd multiple moments, we compute the
relation between the deformations of the shadow of a Schwarzschild black hole
and the distortion multiple moments. For the range of values of multiple
moments that we consider, the horizon is deformed much less than its
corresponding shadow, suggesting the horizon is more `rigid'. Quite
unexpectedly we find that a prolate distortion of the horizon gives rise to an
oblate distortion of the shadow, and vice-versa.
