CHEMISTRY STUFF - A Geometric Derivation of Period Lengths, Molecular Geometry, and the Helical Periodic Table from Icosahedral Invariants

We present a geometric restructuring of chemistry within the Koenig framework ofdimensional flow. The period lengths of the periodic table (2, 8, 18, 32) are derived frominvariant combinatorial subspaces of the regular icosahedron under its rotation group A5: the s-period from 2 axial poles, the p-period from faces minus vertices (20−12=8), the d-period from edges minus vertices (30−12=18), and the f-period from faces plus vertices (20+12=32). The three carbon hybridizations sp3, sp2, and sp are