Symmetrical 2-extensions of the 3-dimensional grid with all connections of type 2

УДК 512.54 +519.17 MSC: 05C63, 20H15 https://doi.org/10.21538/0134-4889-2025-31-4-fon-02 Our computations were performed on the Uran supercomputer at the IMM UB RAS The investigation of symmetrical $q$-extensions of a $d$-dimensional grid $\Lambda^{d}$ is of interest both for group theory and for graph theory. For small $d\geq 1$ and $q>1$ (especially for $q=2$), symmetrical