We present near infrared observations of IRAS 04302+2247, a Class I protostar in the Taurus-Auriga molecular cloud complex whose equatorial plane is inclined precisely edge-on to the line of sight (i = 90 degrees +/- 4 degrees). This system displays a unique quadrupolar morphology, which had not been previously predicted in any simulations of a single protostar. We use the Monte Carlo method to tailor a model to our imaging and polarimetric data, and we explain the quadrupolar structure in te...