The RNAcube coordinate system (Pfennigschmidt 2025, 2026) assigns each of the 64 codons a unique address CA 0–63 derived from systematic constraint elimination on all 144 possible organizational frameworks. This paper demonstrates that the same coordinate system constitutes a complete semantic basis for the 64-state space: every state is uniquely and unambiguously discriminated by properties derived entirely from internal coordinate measurements, without reference to amino acid assignments, biological function, or any external system. The proof proceeds by staged addition of eight properties. Domain and flow potential resolve the first 8 states. Divergence class extends discrimination to 26. Compensation, diagonal membership, and regime crossings bring the count to 60. Two collision pairs survive all six summary properties: GUC, UCG and GAU, UGA, each pair sharing identical signatures through step 7. Pos-1 divergence d1 resolves both, completing the discrimination to 64/64. The result is combinatorial, not statistical. Parity contributes zero additional discriminations in any ordering where Φ precedes it, demonstrating that the bipartite partition of the space is a consequence of flow potential and divergence class, not an independent dimension. Seven properties do the discriminating work; the eighth reveals the system's degree of asymmetry. The positional role decomposition shows that position 2 sets the level reference, position 1 selects the amino acid via signed divergence from that reference, and position 3 enumerates synonymous variants. The two operator diagonals (+9 identity, +7 inversion) satisfy 9 + 7=16, 9×7=63, 9−7=2, all three relationships forced by a single structural fact. Their pos3 opposition is the master asymmetry of the space. The series closes here. The coordinate system is unique, its architecture is forced, and the space it generates is complete.
Bernhard Pfennigschmidt (Sun,) studied this question.