Dust reprocesses the intrinsic radiation of active galactic nuclei (AGN) to emerge at longer wavelengths. The mid-infrared (MIR) luminosity depends broadly on luminosity of the central engine, but in detail it also depends on the dust distribution. Here we observe nearby normal AGN with the MIR instruments of Gemini to achieve spatial resolution better than 100 pc. We use absorption-corrected X-ray luminosity as a proxy for the intrinsic AGN emission and find that the reprocessed MIR emission is essentially isotropic, with no significant difference between optically classified Seyfert 1 and 2 galaxies. Spectroscopic differences, both at optical and IR wavelengths, indicate that the immediate dusty surroundings of the AGN are not spherically symmetric, as in standard unified AGN models. A local environment that is clumpy can account for this dependence on viewing geometry while producing MIR continuum emission that remains nearly isotropic, although the material is not optically thin at these wavelengths. We find some luminosity dependence in the X-ray/MIR correlation, which may be a consequence of contamination by dust emission associated with star formation, even on these small scales. Ns ranges 10^10-12