We will review recent progress in the study of bi-scalar D-dimensional integrable conformal field theory witch is dominated in 'tHooft limit by "fishent" planar Feynman graphs having the shape of regular square lattice. In four dimensions, such a theory is a particular, single coupling case of specific double scaling limit of weakly coupled, but strongly gamma-twisted, N=4 SYM theory. In the full 3-coupling double scaled model, which contains three bosonic and three fermionic fields, the "fishnet" structure of graphs persists but becomes more dynamical. We will present the exact and explicit computations of certain 4-point functions of protected operators as well as anomalous dimensions of certain unprotected operators, in particular those given by so called "wheel" graphs. We will also present the exact calculation, based on Sklyanin separated variables, of 2d version of Basso-Dixon 4-point function.
