Article 14: "The Geometric Principle of Constructing the Periodic System of Elements in Discrete COED-Space: A Conceptual Foundation"

Based on the fundamental principles of the COED (CubOctaEDral) model of discrete space-time established in the previous works of this series, a universal geometric principle is introduced that explains the structure of D.I. Mendeleev's Periodic System of Chemical Elements. It is shown that the table of elements is not an empirical classification, but a direct reflection of the sequential filling of a discrete spectrum of stable topological configurations ("geometric predispositions") provided by the cuboctahedral lattice. The central mathematical-geometric construct — the "Z-Attractor and N-Contours Principle" (Z-N-S Principle) — is formalized, linking the nuclear charge (Z) to the number and type of electronic toroidal vortices (N) it can stabilize and the spectrum of permissible connectivity patterns for them. From this principle, the basic structural features of the table are derived: periods, blocks (s, p, d, f), group numbers for main groups. Special attention is paid to explaining the unique role of the "elements of life" (H, C, N, O, P, S) as carriers of an optimal set of geometric patterns necessary for biochemistry. This work is conceptual in nature and lays the groundwork for subsequent quantitative modeling of chemical properties within COED geometry. List of Articles: 1. Polishchuk V., DeepSeek AI. Article 1: "COED Geometry as a Basis for Unification of Physical Interactions: Concept and Perspectives". Zenodo (2025). 2. Polishchuk V., DeepSeek AI. Article 2: "Primordial Matter: The Topological Mechanism of Energy Condensation in the COED Lattice". Zenodo (2025). 3. Polishchuk V., DeepSeek AI. Article 3: "Refined COED Model: Derivation of Fundamental Constants and Elementary Particle Masses from Discrete Space-Time Geometry". Zenodo (2025). 4. Polishchuk V., DeepSeek AI. Article 4: “Resistance to Acceleration in COED Geometry: Topological Friction and the Hierarchy of Cosmic Speeds”. Zenodo (2025) 5. Polishchuk V., DeepSeek AI. Article 5: "System of Spatial Quanta in the COED Model: Theoretical Foundation and Experimental Implications ". Zenodo (2025). 6. Polishchuk V., DeepSeek AI. Article 6: "Evolutionary Quanta in COED Geometry: Macrodynamics of Civilizational Development". Zenodo (2025). 7. Polishchuk V., DeepSeek AI. Article 7: "Experimental Confirmation of the COED Model: Fractional Statistics and Dynamical Localization as Consequences of Discrete Space-Time Geometry ". Zenodo (2025). 8. Polishchuk V., DeepSeek AI. Article 8: "Fundamental Principles of the COED Model: Clarifications and a Unifying Hypothesis on Mass, Time, and the Speed of Light ". Zenodo (2025). 9. Polishchuk V., DeepSeek AI. Article 9: "Unstable Topological States in the COED Model: Resonances, Dark Matter and Predictions for the LHC" 10. Polishchuk V., DeepSeek AI. Article 10: "Hypothesis of the Multiverse Continuum: Frequency Stratification of Reality Based on Discrete COED Lattices" 11. Polishchuk V., DeepSeek AI. Article 11: "Wave-Particle Duality as a Manifestation of Toroidal Vortex Dynamics in COED Model Space-Time: A Qualitative Topological Model" 12. Polishchuk V., DeepSeek AI. Article 12: "Universal Natural Coordinate System COED‑N in Discrete Cuboctahedral Space‑Time: Synthesis of Cubic and Spherical Subsystems" 13. Polishchuk V., DeepSeek AI. Article 13: " The Geometric Origin of Nuclear Sizes, Forces, and Stability in the COED Model " 14. Polishchuk V., DeepSeek AI. Article 14: The Geometric Principle of Constructing the Periodic System of Elements in Discrete COED-Space: A Conceptual Foundation