It solves the problem of how rotational invariance emerges (along with the rest of the Poincare group). Therefore, the next logical step for the Wolfram physics project is to find the Wolfram model rules that can maintain such a flat Minkowski spacetime, as described in this paper. Afterwards, to test what happens if you run such rules starting at the beginning of time. On the more mathematical side, the insights of this paper can be utilized in order to complete Gorard's derivation of the complete version of general relativity from Wolfram models.

Thanks, Fig 3 is literally just a blue grid on top of a red grid, which could still be generated by Zuse's cellular automata from the 60s (https://philpapers.org/archive/ZUSRR.pdf) whom I should also have mentioned. More valuable are the Poincare disks, which show a perspective on the graphs that cannot be simulated on a simple cellular automaton anymore, in accordance with Zuse's suspicion that cellular automata would become insufficient ultimately. The modern Wolfram hypergraph models could be highly useful to reproduce these types of isotropic-relativistic graphs and so forth.