  It is generally assumed that the sources of Fast Radio Bursts radiate roughly
isotropically, so that the observed low duty cycle of any individual source
indicates a similar low duty cycle of its radio-frequency emission. An
alternative hypothesis is that the radiative duty cycle is ${\cal O}(1)$, but
that the radiation is emitted in a beam with a solid angle comparable to the
observed duty cycle, whose direction wanders or sweeps across the sky. This
hypothesis relaxes the extreme power demands of isotropically radiating models
of FRB at the price of multiplying the number of sources. The constraints on
pulsar models are relaxed; rather than being unprecedentedly fast-spinning and
highly-magnetized with short spin-down times, their parameters may be closer to
those of typical radio pulsars. The nanoshots of Galactic pulsars pose
analogous energetic problems that may be resolved if their emission also is
beamed, suggesting a relation between these phenomena, despite their vastly
different energy scales.
