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The beaming pattern produced by a relativistically moving blob of isotropic nonthermal electrons that Thomson-scatter photons from an external isotropic radiation field goes as ${\cal D}^{4+2\alpha}$. Here ${\cal D}$ is the Doppler factor and $\alpha$ is the energy spectral index of the radiation. This differs from the well-known beaming pattern produced by radiation emitted isotropically in the blob frame, which is $\propto {\cal D}^{3+\alpha}$. This result is important for treatments of blazar statistics, beaming constraints, and tests of gamma-ray source models.
