An apparatus and a method are described for setting up a medical laser machine configured to be used in eye surgery for making a multi-planar incision. In various embodiments, a software interface is provided to receive, from a user, one or more dimensional measurements of an eye of a patient as input, automatically calculate precise geometric and other setup parameters, based on a set of equations, of a multi-planar incision for the patients eye, and provide the calculated parameters to the user for setting up the medical laser machine to make the incision.