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This paper investigates the application of the Symbolic Difference Structure (SSD) method as an innovative tool for multidimensional analysis and classification of elements in the periodic system. By applying the SSD algorithm ($k=3$) to five key physicochemical properties—atomic mass, electronegativity, first ionization energy, number of unpaired electrons, and melting point—the study demonstrates that the periodic system exhibits a recognizable numerical geometry that can be systematically quantified. The results show that SSD classification does not alter established chemical periodicity but enables: (1) quantitative discrimination between genuine nuclear anomalies and metrological artifacts, (2) identification of characteristic “hotspots’’ where multiple properties change simultaneously, and (3) a heuristic framework for predicting properties of heavy and superheavy elements. The analysis is extended using monoisotopic masses and correlation studies, confirming the diagnostic value of the method and opening new pathways for comparative analysis in materials science and chemical education.