  Animal movements have been related to optimal foraging strategies where
self-similar trajectories are central. Most of the experimental studies done so
far have focused mainly on fitting statistical models to data in order to test
for movement patterns described by power-laws. Here we show by analyzing over
half a million movement displacements that isolated termite workers actually
exhibit a range of very interesting dynamical properties --including L\'evy
flights-- in their exploratory behaviour. Going beyond the current trend of
statistical model fitting alone, our study analyses anomalous diffusion and
structure functions to estimate values of the scaling exponents describing
displacement statistics. We evince the fractal nature of the movement patterns
and show how the scaling exponents describing termite space exploration
intriguingly comply with mathematical relations found in the physics of
transport phenomena. By doing this, we rescue a rich variety of physical and
biological phenomenology that can be potentially important and meaningful for
the study of complex animal behavior and, in particular, for the study of how
patterns of exploratory behaviour of individual social insects may impact not
only their feeding demands but also nestmate encounter patterns and, hence,
their dynamics at the social scale.
