  For the generalized Ising models with all possible interactions within a face
of the square lattice the formulas for finding partition function and free
energy per lattice site in the thermodynamic limit were derived on a certain,
in the general case, 8-dimensional subset of exact disordered solutions of
10-dimensional set of the Hamiltonian's parameters. When a part of parameters
are set to zero, as a consequence, the disorder solutions were got for the
models with nearest, next-nearest-neighbor and the interaction of four spins in
an external field and without an external field, triangular and
"checkerboard-triangular" Ising models with triple interactions in an external
magnetic field.
