  Euler-Darboux-Backlund and Laplace transformations are considered for the
one- and two-dimensional Schrodinger operators. Their discrete analogs are
constructed and generalized for the multidimensional lattices and two-manifolds
with special "black-white" triangulations. Nonstandard generalizations of the
connections and curvature are constructed for the simplicial complexes. Exactly
solvable 2D Schrodinger operators with nonstandard spectral properties are
constructed in the continuous and discrete cases using Laplace chains with
different restrictions.
