Z₃ Topology in the Hexagonal Bipyramid: Three-Phase Source Geometry and the Independent Derivation of Q = 2/3

We show that the hexagonal bipyramid cavity of Dimensional Oscillation Theory supports a Z₃ (1/3-twist) topology beneath the Möbius (Z₂) condition. The Z₃ primary resonance requires 2 transits (120°), compared to 3 (180°) for Möbius. The Möbius condition emerges as the apparent topology for an observer at 60° on the strip. The hexagon factorizes as Z₆ = Z₃ × Z₂, separating force physics from matter/antimatter duality. Two independent source configurations confirm that force phases (60°, 5.95°, 3.30°) are container properties, invariant under source changes. Sum-frequency interference of Z₃ phases breaks three-fold democracy into a 2+1 split, independently deriving ε² = 2 and the Koide ratio Q = 2/3 from…