To bound the number of planar embeddings a minimally rigid graph can have, Borcea and Streinu have used intersections of curves generated by simple mechanisms. The gap between the 4^n upper and 2.88^n lower bounds is still quite wide, and we seek techniques for narrowing it. The mechanism-generated curve technique should in theory yield better bounds, if one could find better curves to iterate on. We look at a family of high degree curves described by Wunderlich and describe our computer experiments with them in search of many intersections.