The Koide formula (Q = 2/3) has resisted derivation from first principles since its discovery in1981. We show that within the Fibonacci-Tetrahedral Lattice (FTL) framework, the Koide constant2/3 is a geometric identity of the fundamental tetrahedral node angle: −2 cos(109.471◦) = 2/3. Weestablish a universal selection rule (m ∝ ϕn) that identifies particle "flavor" as a structural addressin the vacuum lattice. We present a unified Universal Structural Address Table that maps theentire known fermion spectrum—covering 12 orders of magnitude from the top quark to the lightestneutrino—using only the Fibonacci factor ϕ and the Aristotle frustration ratio R. The chargedleptons are identified as orientational modes of a tetrahedral disclination, while the neutrino massesare derived as recursive lattice harmonics (m3 ≈ 0.047 eV). We predict a stable fourth lepton atm4 = 1205.2 MeV and provide a mechanical origin for quark confinement. These results suggestthat the matter spectrum is not a collection of arbitrary parameters but a high-precision geometricprojection of the vacuum’s discrete tetrahedral topology.