On the Existence of Whim Domino Squares

The idea of a domino square was first introduced by J. A. Edwards et al. in [1]. In the same paper, they posed some problems on this topic. One problem was to find a general construction for a whim domino square of side \(n \equiv 3 \pmod{4}\). In this paper, we solve this problem by using a direct construction. It follows that a whim domino square exists for each odd side [1].