This atlas contains 12 high-resolution figures (300 DPI, publication quality) documenting the formal derivation, computational validations, and experimental predictions of the topological invariant Ki*(M) = 1 - 1/chi_eff(M). These figures accompany the Xenesis preprint v4.1 and the companion derivation document XENESIS-TPD-2026-002

1 Ki* Progression Topological chain values2 Derivation Tree chi_eff algebraic decomposition3 Robustness Map sigma(Ki) in (D, eta) space4 Five Manifolds 3D geometric representations5 Validation Scorecard 1793/1796 tests (99.83%)6 Correlation & Ratio alpha_s vs Ki, Q^2 stability7 Berry Phase Law II across four scales8 Phase Diagram Law III D_c = 0.259 Step-by-Step M to Ki*(M) derivation10 EIC Prediction Ki_e/Ki_q = 9/13 over Q^211 Parity Test Whitney classification12 Summary Poster Three laws overview