  Faddeev gravity using a $d$-dimensional tetrad (normally $d = 10$) is
classically equivalent to general relativity (GR).
  The discrete Faddeev gravity on the piecewise flat spacetime normally assumes
slowly varying metric and tetrad from vertex to vertex. Meanwhile, Faddeev
action is finite (although not unambiguously defined) for discontinuous tetrad
fields thus allowing, in particular, to consider a surface as consisting of
virtually independent elementary triangles, and its area spectrum as the sum of
elementary area spectra. In the discrete connection form, area tensors are
canonically conjugate to SO(10) connection matrices, and earlier we have found
the elementary area spectrum, which is nonsingular just at large connection or
the strongly varying fields constituting a kind of "antiferromagnetic"
structure.
  We appropriately define discrete {\it connection} Faddeev action to
unambiguously determine the discrete Faddeev action for the strongly varying
fields, but weakly varying metric, equivalent in the continuum limit to the GR
action with this metric. Previously, we considered large variations in only one
direction, now we use an ansatz in some respects less common, but overall,
probably the most common.
  A unified simplicial connection representation is written out (depending on
an auxiliary connection) both for the discrete Faddeev action and for the Regge
action.
