  We consider a class of planar tree-level four-point functions in N=4 SYM in a
special kinematic regime: one BMN operator with two scalar excitations and
three half-BPS operators are put onto a line in configuration space;
additionally, for the half-BPS operators a co-moving frame is chosen in flavour
space. In configuration space, the four-punctured sphere is naturally
triangulated by tree-level planar diagrams. We demonstrate on a number of
examples that each tile can be associated with a modified hexagon form-factor
in such a way as to efficiently reproduce the tree-level four-point function.
Our tessellation is not of the OPE type, fostering the hope of finding an
independent, integrability-based approach to the computation of planar
four-point functions.
