This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P DEGREES1 x P DEGREES1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are reviewed first, followed by the basic properties of points in P DEGREES1 x P DEGREES1, the bigraded Hilbert function, and ACM sets of points. The authors then show how, using a combinatorial...