  We revisited the problem of describing, on average, a fractal distribution of
matter using a Lemaitre-Tolman-Bondi (LTB) solution. Here we study the fractal
structure of our local universe having a fractal dimension and a scale
transition, ensuring an homogeneous bang-time function. We test our model with
the latest type Ia supernova data, the Pantheon compilation, and discuss
problems and possible improvements for it, concluding that a fractal transition
in LTB cosmology cannot be used to explain the effects of dark energy without
requiring an inhomogeneous big-bang, but it can be useful to study structures
at low scales.
