In this paper, we define a new hypergraph \(\mathcal {H(V,E)}\) on a loop L, where \(\mathcal {V}\) is the set of points of the loop L and \(\mathcal {E}\) is the set of hyperedges \(e=\{x,y,z\}\) such that x, y and z associate in the order they are written. We call this hypergraph as the associating hypergraph on a loop L. We study certain properties of associating hypergraphs on the Moufang loop \(M(D_n,2)\) , where \(D_n\) denotes the dihedral group of order 2n.
