  We compute the box dimension of a spiral trajectory around a hyperbolic
saddle loop, as the simplest example of a hyperbolic saddle polycycle. In cases
of weak foci and limit cycles, Zubrinic and Zupanovic show that the box
dimension of a spiral trajectory is in a bijective correspondence with
cyclicity of these sets. We show that, in saddle loop cases, the box dimension
is related to the cyclicity, but the correspondence is not bijective. In
addition, complex saddles are complexifications of weak foci points, as well as
of hyperbolic saddles. Computing the box dimension around the saddle point of a
hyperbolic saddle loop is hopefully a preliminary technique for computing the
box dimension of leaves of a foliation around resonant complex saddles.
