  We analyze the cutting sequences associated to geodesic flow on a large class
of translation surfaces, including Bouw-Moller surfaces. We give a
combinatorial rule that relates a cutting sequence corresponding to a given
trajectory, to the cutting sequence corresponding to the image of that
trajectory under the parabolic element of the Veech group. This extends
previous work for regular polygon surfaces to a larger class of translation
surfaces. We find that the combinatorial rule is the same as for regular
polygon surfaces in about half of the cases, and different in the other half.
