  We study the physical properties of four-dimensional, string-theoretical,
horizonless "fuzzball" geometries by imaging their shadows. Their
microstructure traps light rays straying near the would-be horizon on
long-lived, highly redshifted chaotic orbits. In fuzzballs sufficiently near
the scaling limit this creates a shadow much like that of a black hole, while
avoiding the paradoxes associated with an event horizon. Observations of the
shadow size and residual glow can potentially discriminate between fuzzballs
away from the scaling limit and alternative models of black compact objects.
