A hypergraph generalizes the classical notion of a graph by allowing edges—called hyperedges—to connect more than two vertices simultaneously. A superhypergraph further extends this idea by introducing recursively nested powerset layers, thus enabling hierarchical and self-referential relationships among hyperedges. Graphs are widely used to represent networks. In this context, hypernetworks and superhypernetworks serve as the network analogues of hypergraphs and superhypergraphs, respectively. In this paper, we focus on the concept of the Telecommunications Network. A Telecommunications Network enables the transmission of data, voice, and video among devices using wired or wireless communication technologies. We further examine the mathematical definitions, structural properties, and real-world examples of the Telecommunications HyperNetwork and the Telecommunications SuperHyperNetwork, which extend the classical Telecommunications Network to higher-order and hierarchical communication models.