Canonical DNA heredity relies on pairwise Watson–Crick base pairing, a remarkably simple recognition rule that underlies duplex stability and faithful replication. However, a canonical tetra-stranded hereditary polymer such as Q-DNA cannot rely exclusively on pairwise interactions without collapsing into a duplex-dominant description. In this work, I introduce a multi-body pairing framework for four-stranded genomes, formalized using interaction hypergraphs rather than simple base-pair graphs. I define classes of four-strand hydrogen-bonding units, analyze their energetic and informational degeneracy, and derive sequence–structure compatibility rules required for genome-scale coherence. The result is a dictionary of Q-recognition units and a set of design constraints that make tetra-stranded encoding possible, distinct, and testable. Keywords: Q-DNA, hydrogen bonding, non-Watson–Crick pairing, hypergraphs, multi-body interactions, sequence constraints