  We consider recent experimental results [W. Pan {\it et al}, Phys. Rev. Lett.
{\bf 90}, 016801 (2003)] for occurrence of the fractional quantum Hall
effect-FQHE under the perspective of our formulation in terms of {\it
fractons}. These objects carry rational or irrational values of spin and
satisfy a {\it fractal distribution function} associated with a {\it fractal
von Neumann entropy}. According to our approach the {\it FQHE occurs in pairs
of dual topological quantum numbers fillings factors} and this geometrical
character comes from the {\it connection betwenn the fractal parameter or
Hausdorff dimension $h$ and the spin $s$ of the particles}. We suggest to the
experimentalists consider our ideas and verify in fact that this phenomenon of
FQHE satisfy a {\it symmetry principle} discovered by us, i.e, {\it the duality
symmetry betwenn universal classes of fractons}.
