We study subgroups of the Lie group SL(3,R) which are discrete in the subspace topology and isomorphic to the abstract group generated by reflections along the sides of a hyperbolic triangle. If we require a slightly stronger property (Anosov representations), we can find all such groups by studying the dynamics of their action on the projective plane. More precisely, we can show that a representation is Anosov by finding special "boxes" in the projective plane which are mapped into each other by certain group elements. Iterating this, the boxes converge to a fractal curve called the limit curve. We hope that this provides a simple model to help understand the space of Anosov representations in other contexts like surface group representations. All of it is joint work with Gye-Seon Lee and Jaejeong Lee.