extended the analysis of the size of the sub-Planck structures to situations with different symmetry, by comparing the expected dimension of the tiles from the measured phase-space area $A$ ($a \sim 1/A$), and the actual size of the tiles directly obtained from the plot of the Wigner function, for the case of the asymmetric PT potential, and for the benzene state evolved up to time $T_{rev}/12$. The results are illustrated in Table II. We have compared the compass-like and the benzene-like states for the symmetric PT potential (rows $1-2$) and for two different asymmetric cases (rows $3-6$). We find a good agreement between the expected and the actual dimension of the sub-Planck tiles in all six cases and this fact suggests that the scaling $a \sim \hbar^2/A$ remains valid also in the asymmetric potential and for the benzene-like state, even though the range of values of $a$ considered in Table II is too small to allow us to make a firm quantitative statement [@note]. We find the smallest phase-space sub-Planck structure for the compass-like state of the symmetric potential (row 1 and Fig. \[wigSymAll\](b)). This is a consequence of two facts that can be easily inferred from our analysis: i) 