We investigate the six-vertex model on a square lattice rotated throug
h an arbitrary angle with respect to the coordinate axes, a model rece
ntly introduced by Litvin and Priezzhev. Auxiliary vertices are used t
o define an inhomogeneous system which leads to a one-parameter family
of commuting transfer matrices. A product of commuting transfer matri
ces can be interpreted as a transfer matrix acting on zigzag walls in
the rotated system. Using an equation for commuting transfer matrices,
we calculate their eigenvalues. Finite-size properties of the model a
re discussed from the viewpoint of the conformal field theory.