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HOCHUNK3D is an updated version of the HOCHUNK radiative equilibrium code (ascl:1711.013); the code has been converted to Fortran 95, which allows a specification of one-dimensional (1D), 2D, or 3D grids at runtime. The code is parallelized so it can be run on multiple processors on one machine, or on multiple machines in a network. It includes 3-D functionality and several other additional geometries and features. The code calculates radiative equilibrium temperature solution, thermal and PAH/vsg emission, scattering and polarization in protostellar geometries. HOCHUNK3D also computes spectral energy distributions (SEDs), polarization spectra, and images.