We determine the systoles for a family of closed hyperbolic triangle surfaces which admit a particularly simple combinatorial description. We show that, in this family, there are exactly four surfaces which are maximal, i.e., for which the length of the systole is a local maximum in Teichmüller space. One of these surfaces gives a new example of a maximal surface.
"Systoles of a family of triangle surfaces." Experiment. Math. 11 (2) 249 - 270, 2002.