The golden crossing ladder of the Coxeter H family: a conjugate-shell theorem, the associate criterion, and metallic means in the 120-cell INDYNA-STATIK Research Note 14

Abstract

Research Note 14 of the INDYNA program: the golden ladder. This note assembles the complete ladder of golden-ratio level crossings of the conjugate-shell family and its quantum-spin extension. The record includes the full LaTeX source and a self-contained Python script (reproduce_note14.py) that reproduces every numerical claim of the note from scratch, so all results can be independently verified. Part of the numbered series (Notes 7–15) on the exactly solvable spectral theory of icosahedral networks.