The unusual morphologies of the Andromeda spiral galaxy (M31) and its dwarf companion M32 have been characterized observationally in great detail. The two galaxies apparent proximity suggests that Andromedas prominent star-forming ring as well as M32s compact elliptical structure may result from a recent collision. Here we present the first self-consistent model of the M31-M32 interaction that simultaneously reproduces observed positions, velocities, and morphologies for both galaxies. Andromedas spiral structure is resolved in unprecedented detail, showing that a rare head-on orbit is not necessary to match Andromedas ring-like morphology. The passage of M32 through Andromedas disk perturbs the disk velocity structure. We find tidal stripping of M32s stars to be inefficient during the interaction, suggesting that some cEs are intrinsically compact. Additionally, the orbital solution implies that M32 is currently closer to the Milky Way than models have typically assumed, a prediction that may be testable with upcoming observations.
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