  We generalize the approach of arXiv:1805.04138 for the case of the Hopfield
neural network in the recall stage on a triangular lattice with isotropic
weights. It appears that some properties of this model, in particular the
probability of passing a trajectory in time dynamics, obeys the Gibbs
distribution with a partition function having a vertex realization. Moreover
the corresponding weight matrix satisfies the TTE - some deformation of the
Zamolodchikov tetrahedron equation, the latter playing the role analogous to
the Yang-Baxter equation in 3-dimensional statistical models.
