I will present a framework for computing correlators of three single trace operators in planar N=4 SYM theory that uses hexagonal patches as building blocks. This approach allows one to exploit the integrability of the theory and derive all loop predictions for its structure constants. After presenting the main ideas and results, I will discuss some perturbative tests and open problems. If time permits, I will discuss the recent exciting idea about "hexagonalizing" the higher correlators (4pt functions, etc) of the theory.