Defines a 6-dimensional structure by adding an 8-valued discrete label axis Q to a 5-dimensional hypercube. Derives spin classification, set enumeration, and sign products from purely combinatorial arguments. Section 9 presents an interpretation example mapping the 62 derived states to Standard Model particles plus the graviton. Version 9: Added open problem note on Q-axis state count.
Noriaki Kihara (Sat,) studied this question.