indistinguishable from .

![Examples of the size distribution of “lattice animals” (polyominoes) vs angle for different values of $m$ in the polar diagram. The results were averaged over $10^5$ independently located rods. $k^* = m/L$. Only each tenth point is shown to allow a clearer view. The curves correspond to Eq. . \[fig:angledistrib\]](angledistrib2){width="0.9\linewidth"}

Figure \[fig:sizedistribution\] shows the distribution of polyominoes, by size, for different values of $m$ calculated according to the analytical expression . For instance, when $k^*=128$, the possible sizes of polyominoes vary from 128 to 309. The probabilities are exact, and such non-monotonic behavior is an intrinsic property, not a computational error.

![Examples of the distribution of “lattice animals” (polyominoes), by size, in an isotropic system ($s=0$) for three different values of $m$ according to Eq. . The solid lines are provided simply as visual guides. The vertical dashed line corresponds to $\sqrt2$.\[fig:sizedistribution\]](sizedistribution){width="0.9\linewidth"}

It is noticeable, that dispersity and polymorphism are inherent properties of a discrete system produced by means of discretization from the continuous system. They never vanish even when $m \to \infty$. This evidences that the properties of such a discrete system are related, but not identical, to the properties of the original continuous system.

Electrical 