Well, if you consider that the setting of the problem is non-interacting, two-dimensional electrons in an infinite lattice, there's not much real about it. These patterns will likely disappear in a more realistic situation.
Didn't this same article state that: "They placed two thin layers of graphene in a magnetic field, then measured the energy levels of the graphene’s electrons. The quantum fractal emerged in all its glory."
So they actually realised it.