  We consider Faddeev formulation of general relativity in which the metric is
composed of ten vector fields or a $4 \times 10$ tetrad. This formulation
reduces to the usual general relativity upon partial use of the field
equations.
  A distinctive feature of the Faddeev action is its finiteness on the
discontinuous fields. This allows to introduce its minisuperspace formulation
where the vector fields are constant everywhere on ${\rm I \hspace{-3pt} R}^4$
with exception of a measure zero set (the piecewise constant fields). The
fields are parameterized by their constant values {\it independently} chosen
in, e. g., the 4-simplices or, say, parallelepipeds into which ${\rm I
\hspace{-3pt} R}^4$ can be decomposed. The form of the action for the vector
fields of this type is found.
  We also consider the piecewise constant vector fields approximating the fixed
smooth ones. We check that if the regions in which the vector fields are
constant are made arbitrarily small, the minisuperspace action and eqs of
motion tend to the continuum Faddeev ones.
