The Complete Particle Mass Spectrum from Planck-Scale Foam Geometry: All 13 Fundamental Masses from Cell Integers

All 13 fundamental particle masses derived from topological integers of the truncated octahedron with zero free parameters. Hierarchy: ln(M_P/v) = (|G|+V+E+F+(|G|-C_A)√Δ)/8, v = 246.24 GeV (0.009%). Electron: m_e = r₁M_P exp(-(E-F)(2Δ+√Δ)/16) = 511.01 keV (0.002%). Leptons from Koide θ = 2/9 (0.004%, 0.009%). All six quarks as m_q = m_e exp((A+B√Δ)/C) with cell integer coefficients (0.08-0.23%). The up quark uses |G|-1 and V-F, the same quantities as the fine structure constant. Generation splittings: Gen 2 ΔA = Δ = 17, Gen 3 ΔA = -C_A³ = -27. Part LV of the Unified Foam Field Theory.