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Faddeev gravity using a $d$-dimensional tetrad (normally $d = 10$) isclassically equivalent to general relativity (GR).  The discrete Faddeev gravity on the piecewise flat spacetime normally assumesslowly varying metric and tetrad from vertex to vertex. Meanwhile, Faddeevaction is finite (although not unambiguously defined) for discontinuous tetradfields thus allowing, in particular, to consider a surface as consisting ofvirtually independent elementary triangles, and its area spectrum as the sum ofelementary area spectra. In the discrete connection form, area tensors arecanonically conjugate to SO(10) connection matrices, and earlier we have foundthe elementary area spectrum, which is nonsingular just at large connection orthe strongly varying fields constituting a kind of "antiferromagnetic"structure.  We appropriately define discrete {\it connection} Faddeev action tounambiguously determine the discrete Faddeev action for the strongly varyingfields, but weakly varying metric, equivalent in the continuum limit to the GRaction with this metric. Previously, we considered large variations in only onedirection, 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 onan auxiliary connection) both for the discrete Faddeev action and for the Reggeaction.

Discrete Faddeev action for the tetrad fields strongly varying along different coordinates