Geometric Classification of Standard Model Particles Derived from the Orientation Structure of the 6-Dimensional Hypercube

Extending the 5-dimensional hypercube framework by adding a sixth axis Q (discrete color label with 4 values {0, r, g, b}), this paper derives color charge, quark-lepton distinction, 8 gluon states (3×3−1=8), graviton placement, and mass as signed area from a unified discrete geometric structure. All 62 Standard Model states are reproduced without free parameters.